Maharashtra Board Class 5 Maths Chapter 2 Number Work Set 6 Solutions

Std 5 Maths Chapter 2 Number Work

Question 1. Write the proper symbol, '<' or '>' in the box.
(1) 5,705 [ < ] 15,705
(2) 22,74,705 [ ] 12,74,705
(3) 35,33,302 [ ] 35,32,302
(4) 99,999 [ ] 9,99,999
(5) 4,80,009 [ ] 4,90,008
(6) 35,80,177 [ ] 35,88,172
Answer:
(1) <
(2) >
(3) >
(4) <
(5) <
(6) <
In simple words: To compare numbers, start by counting the digits. If the number of digits is the same, compare digits from left to right to determine which number is greater or smaller.

🎯 Exam Tip: Always align numbers by their place values (units, tens, hundreds, etc.) before comparing to avoid errors.

 

Question 2. Solve the problems given below.
(1) The Swayamsiddha Savings Group made 3,45,000 papads while the Swabhimani Group made 2,95,000. Which group made more papads?
Answer:
Here, 3,45,000 > 2,95,000
Hence, the Swayamsiddha saving group made more papads.
In simple words: By comparing the number of papads made by each group, 3,45,000 is greater than 2,95,000, so Swayamsiddha Group made more papads.

🎯 Exam Tip: Clearly state the comparison (e.g., A > B) and the conclusion based on the comparison.

 

(2) Children of the Primary School in Ahmadnagar District collected 2,00,000 seeds while those in Pune District collected 3,25,000. Which children collected more seeds?
Answer:
Here, 3,25,000 > 2,00,000
Hence, Pune District children collected more seeds.
In simple words: Since 3,25,000 seeds collected by Pune District children is a larger number than 2,00,000 from Ahmadnagar, Pune District collected more seeds.

🎯 Exam Tip: Identify the key quantities and perform a direct comparison to answer "which is more" or "which is less."

 

(3) The number of people who took part in the Republic Day flag hoisting ceremony was 2,01,306 in Pandharpur taluka and 1,97,208 in Malshiras taluka. In which taluka did a larger number of people participate?
Answer:
Here, 2,01,306 > 1,97,208
Hence, people of Pandharpur taluka participated in larger number
In simple words: Comparing the attendance, 2,01,306 from Pandharpur is greater than 1,97,208 from Malshiras, indicating more participation in Pandharpur taluka.

🎯 Exam Tip: When comparing numbers with different digits, the one with more digits is usually larger. If digits are same, compare from left to right.

 

(4) At an exhibition, the Annapoorna Savings Group sold goods worth 5,12,345. The Nirman Group sold goods worth 4,12,900. This figure was 4,33,000 for the Srujan Group and 5,11,937 for the Savitribai Phule group.
Which group had the largest sales?
Which group had the smallest?
Write the sales figures in ascending order.
Answer:
Among the numbers 5,12,345; 4,12,900; 4,33,000; 5,11,937
5,12,345 is largest and 4,12,900 is smallest. Hence, Annapoorna group had the largest sale and Nirman Group had the smallest sales.
Sales in ascending order
4,12,900 < 4,33,000 < 5,11,937 < 5,12,345
In simple words: By comparing all the sales figures, Annapoorna Group had the highest sales at 5,12,345, and Nirman Group had the lowest sales at 4,12,900. The ascending order arranges these from smallest to largest.

🎯 Exam Tip: For multiple comparisons, it's helpful to list all numbers and then systematically identify the minimum and maximum, followed by arranging them in ascending or descending order.

Introducing Crores

99,99,999 is the biggest seven-digit number. On adding the number 1 to it, we get the smallest eight-digit number, 1,00,00,000. We read this number as 'one crore'. The new place created to write this number is called the 'crores' place.
From the following examples, you can learn to read eight-digit numbers.

Number - Reading

8,45,12,706 - Eight crore forty-five lakh twelve thousand seven hundred and six
5,61,63,589 - Five crore sixty-one lakh sixty-three thousand five hundred and eighty-nine
6,09,04,034 - Six crore nine lakh four thousand and thirty-four

Something More

On the left of the crores place are the places for ten crores, abja, and ten abja in that order. The place value of each of these is ten times the value of the one on its right. According to the Census of the year 2011, the population of our country is 1,21,01,93,422. We read this as 'one Abuja twenty-one crore one lakh ninety-three thousand four hundred and twenty-two.

ℹ️ चित्र व्याख्या (Diagram Explanation): यह चित्र संख्याओं के स्थानीय मान को दर्शाता है, जिसमें गुड़ियाओं का उपयोग करके क्रोड़, दस लाख, लाख, दस हजार, हजार, सैकड़ों, दहाई और इकाइयों के स्थानों को चित्रित किया गया है। बड़ी गुड़ियाएँ बड़े स्थानीय मानों को दर्शाती हैं, जैसे कि क्रोड़, जबकि छोटी गुड़ियाएँ छोटी इकाइयों, जैसे कि इकाइयों, को दर्शाती हैं। यह एक दृश्य प्रतिनिधित्व है जो छात्रों को भारतीय संख्या प्रणाली में अंकों के स्थानीय मान को समझने में मदद करता है।

Numbers	In words	Number of zeroes after 1
1	One	-
10	Ten	1
100	Hundred	2
1,000	One thousand	3
10,000	Ten thousand	4
1,00,000	Lakh	5
10,00,000	Ten lakh	6
1,00,00,000	Crore	7
10,00,00,000	Ten crore	8
1,00,00,00,000	Abja	9

Roman Numerals Problem Set 4 Additional Important Questions And Answers

Question 1. Write the proper symbol, '<' or '>' in the box.
(1) 68,34,170 [ ] 8,43,170
(2) 5,04,132 [ ] 5,04,123
(3) 1,01,001 [ ] 1,00,101
(4) 14,55,432 [ ] 4,54,532
Answer:
(1) >
(2) >
(3) >
(4) >
In simple words: When comparing numbers, count the digits first. If the number of digits is unequal, the number with more digits is larger. If digits are equal, compare digit by digit from the leftmost place.

🎯 Exam Tip: Pay close attention to the number of digits. A 7-digit number is always greater than a 6-digit number, regardless of the individual digits.

 

Question 2. Write the numbers in words.
(1) 15,97,21,409
Answer:
Fifteen crore, ninety-seven lakh, twenty-one thousand, four hundred and nine
In simple words: To write large numbers in words, break them down into periods like crores, lakhs, and thousands, then state the number in each period followed by its unit.

🎯 Exam Tip: Practice placing commas according to the Indian number system (after thousands, then every two digits) to correctly identify periods.

 

(2) 99,99,99,999
Answer:
Ninety-nine crore, ninety-nine lakh, ninety- nine thousand, nine hundred and ninety nine.
In simple words: For a number like 99,99,99,999, which has all nines, each period (crore, lakh, thousand, hundred) will simply be described as "ninety-nine" or "nine hundred ninety-nine."

🎯 Exam Tip: Remember to include "and" before the last two digits (if not zero) when reading numbers in words, especially in the hundreds place.

 

(3) 7,54,21,607
Answer:
Seven crore, fifty-four lakh, twenty-one thousand, six hundred and seven.
In simple words: This number is composed of 7 crores, 54 lakhs, 21 thousands, and 607 units. Combine these parts to form the word representation.

🎯 Exam Tip: Read each block of digits (crore, lakh, thousand) individually before combining them into the full number name.

 

(4) 5,16,36,854
Answer:
Five crore, sixteen lakh, thirty-six thousand, eight hundred and fifty four.
In simple words: This number is interpreted as 5 crores, 16 lakhs, 36 thousands, and 854 units, spoken in the standard Indian number system format.

🎯 Exam Tip: Ensure correct spelling of number words (e.g., "forty" not "fourty").

 

Question 3. Write in figures.
(1) One crore, fifteen lakh, fifty-nine thousand, seven hundred and four
Answer:
1,15,59,704
In simple words: Break down the word description into its place values: 1 crore (1,00,00,000), 15 lakh (15,00,000), 59 thousand (59,000), and 704, then combine them to form the numeral.

🎯 Exam Tip: Write down the place values (crore, lakh, ten thousand, thousand, hundred, ten, unit) and fill in the digits for each, using zeros as placeholders for missing values.

 

(2) Sixty-five crore, seventy lakh, fifty thousand and thirty nine
Answer:
65,70,50,039
In simple words: This number translates to 65 in the crores place, 70 in the lakhs place, 50 in the thousands place, and 39 in the units place, filling in zeros where hundreds are absent.

🎯 Exam Tip: Be careful with numbers like "seventy lakh" (70,00,000) and "fifty thousand" (50,000) to place them correctly in their respective periods.

 

(3) Four crore, fifty-nine lakh, fourty-three thousand, five hundred and thirty four
Answer:
4,59,43,534
In simple words: This number consists of 4 crores, 59 lakhs, 43 thousands, and 534 units, written by combining the numerical values of each part.

🎯 Exam Tip: Double-check for correct spelling of "forty" when converting from words to figures to ensure accuracy.

 

(4) Eighteen crore, seventy-six lakh, fifty-four thousand and one
Answer:
18,76,54,001
In simple words: The number represents 18 crores, 76 lakhs, 54 thousands, and a unit of 1, with zeros filling the empty hundreds and tens places.

🎯 Exam Tip: Remember to use zeros as placeholders for any place values not explicitly mentioned in the word form (e.g., "and one" implies 001 for hundreds and tens).

 

Question 4. Fill in the blanks in the table below:

	Devnagari numerals	International numerals	Number written in words
(1)	३,७०६	...............	...............
(2)	...............	45,982	...............
(3)	...............	...............	Fourteen thousand, twenty-one
(4)	...............	5,037	...............

Answer:

	Devnagari numerals	International numerals	Number written in words
(1)	३,७०६	3,706	Three thousand seven hundred and six
(2)	४५,९८२	45,982	Forty-five thousand nine hundred and eighty-two
(3)	१४,०२१	14,021	Fourteen thousand, twenty-one
(4)	५,०३७	5,037	Five thousand and thirty-seven

In simple words: This table requires converting numbers between Devnagari numerals, international numerals, and their word forms. Each row has one or two pieces of information, and you must fill in the missing conversions accurately.

🎯 Exam Tip: Be familiar with both Devnagari and International numeral systems and practice converting numbers to and from their word forms to ensure quick and accurate completion of such tables.

 

Question 5. Write the following numbers in words.
(1) 17,301
(2) 45,019
(3) 40,018
(4) 28,740
Answer:
(1) Seventeen thousand, three hundred and one.
(2) Forty-five thousand and nineteen.
(3) Forty thousand and eighteen
(4) Twenty-eight thousand seven hundred and forty
In simple words: To write these numbers in words, identify the thousands, hundreds, tens, and units places, then verbalize each part, combining them to form the full number name.

🎯 Exam Tip: Pay attention to the use of "and" in the hundreds place (e.g., "three hundred and one") and ensure correct spelling for all number words.

 

Question 6. How many rupees do they make?
(1) 8 notes of Rs. 2,000, 3 notes of Rs. 100,11 notes of Rs. 10.
Answer:
16,410
In simple words: Multiply the number of notes by their respective denominations and then add all the products to find the total amount in Rupees. So, (8 * 2000) + (3 * 100) + (11 * 10) = 16000 + 300 + 110 = 16410.

🎯 Exam Tip: Break down the problem into smaller calculations for each denomination (multiplication) and then sum them up for the final answer. Double-check your arithmetic.

 

(2) 9 notes of Rs. 2,000, 18 notes of Rs. 100,18 notes of Rs. 50,18 notes of Rs. 10.
Answer:
20,880
In simple words: Calculate the value for each type of note (9x2000, 18x100, 18x50, 18x10) and then sum all these values to get the total amount. So, 18000 + 1800 + 900 + 180 = 20880.

🎯 Exam Tip: Ensure that all given denominations are included in the calculation. It's easy to miss one or two denominations when there are many items.

 

(3) Write the smallest and the biggest five-digit numbers that can be made using the digits only once.
(a) 6, 8, 0,1, 9
(b) 3, 5,1,2, 8
Answer:
Smallest number : (i) 10,689 (ii) 12358
Biggest number : (i) 98,610 (ii) 85321
In simple words: To form the smallest number, arrange the given digits in ascending order, but ensure the leading digit is not zero. For the biggest number, arrange the digits in descending order.

🎯 Exam Tip: When forming the smallest number and a zero is present, always place the smallest non-zero digit first, followed by zero, then the remaining digits in ascending order.

 

(4) Write the smallest and the biggest number from the following numbers.
(a) 35,798
(b) 39,785
(c) 39,587
(d) 35,789
Answer:
Smallest number : 35,789
Biggest number : 39,785
In simple words: Compare all four given numbers digit by digit from left to right to identify which one has the lowest value for the smallest number and the highest value for the biggest number.

🎯 Exam Tip: Start comparing from the leftmost digit. If they are the same, move to the next digit to the right until a difference is found.

 

(5) Write the number from the given number which is neither biggest nor smallest.
(a) 45, 798
(b) 45, 789
(c) 45, 897
Answer:
45,798.
In simple words: First, identify the smallest and biggest numbers among the given options. The remaining number is the one that is neither the biggest nor the smallest.

🎯 Exam Tip: To ensure accuracy, arrange all numbers in ascending or descending order first. The number in the middle (if there's an odd count) or the numbers between the extremes will be neither largest nor smallest.

 

(6) Write the biggest and the smallest three-digit numbers that can be made using the digits 0,1, 2, 3, 4, 5, 6, 7, 8, 9 only once.
Answer:
Biggest three-digit number : 987
Smallest three-digit number : 102
In simple words: To get the biggest three-digit number, pick the three largest digits (9, 8, 7) and arrange them in descending order. For the smallest, pick the three smallest unique digits (0, 1, 2), place the smallest non-zero digit first, followed by zero, then the next smallest.

🎯 Exam Tip: The phrase "only once" is crucial; it means you cannot repeat any digit. For the smallest number, always ensure the hundreds digit is not zero.

 

Question 7. Read the numbers and write them in words.
(1) 2,65,048
(2) 1,80,794
(3) 1,06,709
(4) 8,80,006
Answer:
(1) Two lakh sixty-five thousand and forty- eight,
(2) One lakh eighty thousand seven hundred and ninety-four.
(3) One lakh six thousand seven hundred and nine.
(4) Eight lakh eighty thousand and six.
In simple words: For each number, identify the values in the lakhs, thousands, and hundreds periods, then state them sequentially in words according to the Indian numeral system.

🎯 Exam Tip: Practice writing numbers that have zeros in different positions (e.g., in the hundreds or tens place) to correctly articulate them in words, such as "eighty thousand and six" for 80,006.

 

Question 8. Read the numbers and write them in figures.
(1) Two lakh five thousand three hundred and six.
(2) Six lakh and six
(3) Nine lakh forty thousand and thirty seven.
(4) Five lakh ninety-nine thousand and fifteen.
Answer:
(1) 2,05,306
(2) 6,00,006
(3) 9,40,037
(4) 5,99,015
In simple words: Convert the given word descriptions into numerical figures by correctly placing digits in their respective place values, using zeros as placeholders for any unspoken values.

🎯 Exam Tip: Pay close attention to implied zeros, especially in the hundreds and tens places, such as "six lakh and six" which means 6,00,006 (zeros for thousands, hundreds, and tens).

 

Question 9. Write six, six-digit numbers using the digits 0,.3,5,7,9,1 only once with 9 lakh fifty-seven thousand in all numbers.
Answer:
(1) 9,57,301
(2) 9,57,310
(3) 9,57,103
(4) 9,57,130
(5) 9,57,013
(6) 9,57,031
In simple words: Given the fixed starting sequence "9 lakh fifty-seven thousand" (9,57,000), arrange the remaining digits (0,1,3) in different permutations to create unique six-digit numbers while using each digit only once.

🎯 Exam Tip: When parts of the number are fixed, focus on permuting the remaining available digits to generate new, unique numbers, ensuring each digit is used only once in each generated number.

 

Question 9. (A) Match the columns:
(A)
(1) Nine lakh nine thousand nine
(2) Nine lakh june thousand nine hundred nine
(3) Nine lakh nine thousand ninety
(4) Nine lakh ninety thousand ninety
(B)
(a) 9,09,090
(b) 9,90,090
(c) 9,09,009
(d) 9,09,909
Answer:
(1 - c),
(2 - d),
(3 - a),
(4 - b)
In simple words: Match the numbers written in words to their correct numerical figures by carefully identifying the place value for each part (lakh, thousand, hundred, ten, unit) and using zeros as placeholders.

🎯 Exam Tip: Pay very close attention to subtle differences in the wordings, such as "nine thousand nine" vs. "nine thousand ninety," as these determine the placement of zeros.

 

Question 9. (B) Match the columns:
(A)
(1) Thirty-three lakh, three thousand and three
(2) Thirty-three lakh, thirty thousand, three hundred
(3) Thirty lakh, three thousand and thirty.
(4) Thirty lakh, thirty thousand and three
(B)
(a) 33,30,300
(b) 33,03,003
(c) 30,30,003
(d) 30,03,030
Answer:
(1 - b),
(2 - a),
(3 - d),
(4 - c)
In simple words: Translate each number from its word form to its numerical representation, being meticulous with the placement of digits in lakhs, thousands, hundreds, tens, and units places, including any necessary zeros.

🎯 Exam Tip: Break down the number word-by-word (e.g., "thirty-three lakh" is 33,00,000, "three thousand" is 3,000) and then sum them up, placing commas correctly according to the Indian system.

 

Question 10. Read the numbers and write them in words.
(1) 34,87,569
(2) 70,85,039
(3) 48,07,102
(4) 67,40,960
(5) 88,00,080
(6) 40,40,004
Answer:
(1) Thirty-four lakh, eighty-seven thousand, five hundred and sixty-nine.
(2) Seventy lakh, eight-five thousand and thirty-nine.
(3) Forty-eight lakh, seven thousand, one hundred and two.
(4) Sixty-seven lakh, forty thousand, nine hundred and sixty.
(5) Eighty-eight lakh and eighty.
(6) Forty lakh, forty thousand and four.
In simple words: For each given number, articulate its value by identifying the digits in the lakhs, thousands, and units periods and then writing them out in words.

🎯 Exam Tip: When numbers have zeros in the hundreds or tens place, ensure you correctly express them (e.g., "eighty" for 80, "one hundred and two" for 102, or "eighty" for 080 if applicable).

 

Question 11. Read the numbers and write them in figures.
(1) Fifty-nine lakh, seven thousand, seventeen.
(2) Twenty-two lakh, ten thousand, five hundred.
(3) Fifty-two lakh, twenty-five thousand, four hundred and fifteen.
(4) Thirty lakh, thirty thousand and thirty.
Answer:
(1) 59,07,017
(2) 22,10,500
(3) 52,25,415
(4) 30,30,030
In simple words: Convert the written numbers into their numerical figures by correctly assigning digits to the lakhs, thousands, hundreds, tens, and units places, filling any gaps with zeros.

🎯 Exam Tip: Practice writing numbers with zeros as placeholders for tens, hundreds, or thousands when they are not explicitly mentioned in the word form (e.g., "seven thousand, seventeen" means 07,017).

 

Question 12. Write the place value of the underlined digit.
(1) 68,03,512
(2) 3,42,157
(3) 84,52,170
(4) 79,345
(5) 38,14,093
(6) 8,10,618
(7) 35,10,387
Answer:
(1) 8,00,000
(2) 40,000
(3) 2,000
(4) 5
(5) 90
(6) 600
(7) 30,00,000
In simple words: The place value of an underlined digit is its value based on its position in the number, calculated by multiplying the digit by the value of its place (e.g., 8 in the lakhs place is 8 x 1,00,000).

🎯 Exam Tip: To find the place value, simply write the digit and replace all digits to its right with zeros. Remember that the value of the place depends on the number system (Indian or International).

 

Question 13. Write the numbers in their expanded form.
(1) 78,15,692
(2)50,95,182
(3)6,40,078
(4) 9,58,802
Answer:
(1) 70,00,000 + 8,00,000 + 10,000 + 5,000 + 600 + 90 + 2
(2) 50,00,000 + 90,000 + 5,000 + 100 + 80 + 2
(3) 6,00,000 + 40,000 + 70 + 8
(4) 9,00,000 + 50,000 + 8,000 + 800 + 2
In simple words: Expanded form means writing a number as the sum of the place values of all its digits. Each digit is multiplied by its corresponding place value and then added together.

🎯 Exam Tip: For each digit, identify its place (e.g., tens lakh, lakh, ten thousand, etc.), then multiply the digit by the value of that place. Sum all these individual place values for the expanded form.

 

Question 14. Write the place name and place value of each digit in the following numbers.
(1) 27,306
(2) 1,70,425
(3) 75,68,041
(4) 55,555
Answer:
(1) 27,306
(2) 1,70,425
(3) 75,68,041
(4) 55,555
In simple words: For each digit in the given numbers, state its position (e.g., units, tens, hundreds, thousands) and then calculate its numerical value based on that position. The answer lists the numbers themselves, implying the task is to identify the place name and value for each digit within them.

🎯 Exam Tip: Create a mental or written table of place values (units, tens, hundreds, thousands, ten thousands, lakhs, ten lakhs, etc.) to systematically identify the place name and calculate the place value for each digit in the number.

 

Question 15. The expanded form of the number is given. Write the number.
(1) 70,000 + 6,000 + 500 + 40 + 8
(2) 8,00,000 +-30,000 + 5,000 + 400 + 3
(3) 60,00,000 + 2,00,000 + 70 + 4
(4) 20,00,000 + 5,00,000 + 900 + 5
Answer:
(1) 76,548
(2) 8,35,403
(3) 62,00,074
(4) 25,00,905
In simple words: To convert an expanded form back into a standard number, simply sum up all the given place values. Align the numbers vertically by their units place before adding to avoid errors.

🎯 Exam Tip: Be careful with zeros. If a place value (like hundreds or thousands) is missing from the expanded form, make sure to put a zero in that place in the final number.

 

Question 16. Considering the number 50,43,176.
Fill in the blanks.
(1) The digit in the ten thousand place is ................
(2) Place value of 1 is ................
(3) The digit in the lakhs place is ................
(4) Place value of 5 is ................
(5) The digit 7 is in ................ place.
Answer:
(1) 4
(2) 100
(3) 0
(4) 50,00,000
(5) tens
In simple words: By analyzing the given number 50,43,176, identify the digit at each specified place (e.g., ten thousand, lakhs) or determine the place value of a specific digit (e.g., 1, 5) or the place name of a digit (e.g., 7).

🎯 Exam Tip: Familiarize yourself with the Indian place value chart (Units, Tens, Hundreds, Thousands, Ten Thousands, Lakhs, Ten Lakhs, Crores, etc.) to quickly identify the digit or value at any given position.

 

Question 17. Write the proper symbols '<' or '>' in the box.
(1) 12,625 [ ] 21,526
(2) 23,564 [ ] 23,546
(3) 36,60,660 [ ] 36,60,606
(4) 89,14,507 [ ] 89,15,407
Answer:
(1) <
(2) >
(3) >
(4) <
In simple words: Compare each pair of numbers by starting from the leftmost digit. If the digits are the same, move to the next digit to the right until you find a difference, which will determine if the first number is greater or smaller.

🎯 Exam Tip: For comparing larger numbers, it's often helpful to write them one above the other, aligning the place values, to clearly see where the digits differ.

 

Question 18. Solve the problems given below.
(1) Population of city A is 8,57,238 and that of city B is 8,75,461. Population of which city is more?
Answer:
city B
In simple words: Compare the populations of City A (8,57,238) and City B (8,75,461). Since 8,75,461 is greater than 8,57,238, City B has a larger population.

🎯 Exam Tip: When comparing similar-looking numbers, focus on the first place value from the left where the digits are different to quickly determine which is greater.

 

(2) Yearly income of Rajnikant is Rs. 3,48,600 and that of Shashikant is Rs. 3,46,500. Whose income is less?
Answer:
Shashikant
In simple words: Compare Rajnikant's income (Rs. 3,48,600) with Shashikant's income (Rs. 3,46,500). Since 3,46,500 is less than 3,48,600, Shashikant's income is less.

🎯 Exam Tip: Always clearly identify the two quantities to be compared and state which one is being sought (e.g., "less" or "more") before making your comparison.

 

Question 19. Profit of the four companies A, B, C, D is as follows.

Company	A	B	C	D
Profit (in Rs.)	23,15,809	32,13,698	21,35,410	31,25,743

Now, answer the following questions.
(1) Which company made maximum profit?
(2) Which company made minimum profit?
(3) Write the profit of the companies in the descending order.
Answer:
(1) B
(2) C
(3) profit of company B > D > A > C
In simple words: By comparing the profit figures for all four companies, Company B has the highest profit (32,13,698) and Company C has the lowest profit (21,35,410). Arranging them in descending order means listing them from highest profit to lowest.

🎯 Exam Tip: For identifying maximum/minimum and ordering, list all the numbers and then compare them systematically from left to right, focusing on the highest place values first.

 

Question 20. In a certain election, candidates : Tavade, Patel, Chauhan, and Shinde got the votes as follows.

Candidates	Tavade	Chauhan	Patel	Shinde
Votes obtained	43,51,239	37,51,386	48,00,173	34,67,008

Now, answer the following questions.
(1) Who got the highest number of votes?
(2) Who got the least number of votes?
(3) Write the number of votes obtained in the ascending order.
Answer:
(1) Patel
(2) Shinde
(3) 34,67,008 < 37,51,386 < 43,51,239 < 48,00,173
In simple words: Compare the vote counts for all candidates. Patel received the most votes (48,00,173) and Shinde received the least (34,67,008). Ascending order means listing votes from smallest to largest.

🎯 Exam Tip: To avoid errors in comparison, especially with large numbers, align them by place value and compare digit by digit from the leftmost position.

 

Question 21. Compare the following using >, < or = signs.
(1) 3,97,48,632 [ ] 3,97,58,632
(2) 1,50,15,178 [ ] 1,50,15,780
(3) 3,74,98,561 [ ] 96,42,748
(4) 30,49,75,831 [ ] 30,49,00,831
Answer:
(1) <
(2) <
(3) >
(4) >
In simple words: For each pair, compare the numbers from left to right. The first position where the digits differ determines the larger or smaller number.

🎯 Exam Tip: Always count the number of digits first. If the count is different, the number with more digits is larger. If the count is the same, then proceed with digit-by-digit comparison from left to right.

 

Question 22. Circle the correct answer:
(1) Mark periods 617231801 according to the Indian Number system.
(a) 61,72,31,801
(b) 16,172,31
(c) 617,231,801
Answer:
(a) 61,72,31,801
In simple words: The Indian Number System uses commas to mark periods after three digits from the right, then after every two digits. For 617231801, this means grouping it as 61,72,31,801 (crores, lakhs, thousands, hundreds).

🎯 Exam Tip: Remember the comma placement rule for the Indian system: first comma after three digits from the right (hundreds), then subsequent commas after every two digits (lakhs, crores).

 

(2) Mark periods 90289164 according to the international Number system.
(a) 9,0289,164
(b) 902891,64
(c) 90,289,164
Answer:
(c) 90,289,164
In simple words: The International Number System places commas after every three digits from the right. For 90289164, this results in 90,289,164 (millions, thousands, hundreds).

🎯 Exam Tip: For the International system, commas are always placed after every three digits from the right, creating periods of thousands, millions, billions, etc.

 

(3) 1,00,00,000 is read as ................
(a) ten crore
(b) one crore
(c) hundred thousand
Answer:
(b) one crore
In simple words: In the Indian numeral system, 1,00,00,000 represents one crore.

🎯 Exam Tip: Memorize the standard names for large numbers in both Indian and International systems (e.g., 10 lakh = 1 million, 1 crore = 10 million).

Class 5 Maths Solution Maharashtra Board

Std 5 Maths Chapter 2 Number Work

Question 1. Write the proper symbol, '<' or '>' in the box.
(1) 5,705 [ < ] 15,705
(2) 22,74,705 [ ] 12,74,705
(3) 35,33,302 [ ] 35,32,302
(4) 99,999 [ ] 9,99,999
(5) 4,80,009 [ ] 4,90,008
(6) 35,80,177 [ ] 35,88,172
Answer:
(1) <
(2) >
(3) >
(4) <
(5) <
(6) <
In simple words: This question tests your ability to compare numbers using the greater than (>) and less than (<) symbols. You need to correctly identify which number is larger or smaller in each pair.

🎯 Exam Tip: Pay close attention to the number of digits and the place value of each digit when comparing large numbers to avoid errors.

Question 2. Solve the problems given below.
(1) The Swayamsiddha Savings Group made 3,45,000 papads while the Swabhimani Group made 2,95,000. Which group made more papads?
Answer:Here, 3,45,000 > 2,95,000 Hence, the Swayamsiddha saving group made more papads.
In simple words: To find which group made more papads, compare the total number of papads each group made; the larger number indicates more papads.

🎯 Exam Tip: When comparing quantities, identify the numbers and use comparison symbols to clearly state the greater or smaller value. Ensure you conclude with the specific entity that corresponds to the higher or lower value.

Question 2. (2) Children of the Primary School in Ahmadnagar District collected 2,00,000 seeds while those in Pune District collected 3,25,000. Which children collected more seeds?
Answer:Here, 3,25,000 > 2,00,000 Hence, Pune District children collected more seeds.
In simple words: Compare the number of seeds collected by each district's school children to determine which district collected more.

🎯 Exam Tip: Clearly state the two quantities being compared and explicitly mention the name of the group or entity that holds the larger value. Double-check your comparison for accuracy.

Question 2. (3) The number of people who took part in the Republic Day flag hoisting ceremony was 2,01,306 in Pandharpur taluka and 1,97,208 in Malshiras taluka. In which taluka did a larger number of people participate?
Answer:Here, 2,01,306 > 1,97,208 Hence, people of Pandharpur taluka participated in larger number
In simple words: Compare the participation numbers from Pandharpur and Malshiras talukas to find out which had a greater turnout.

🎯 Exam Tip: Always identify the two numbers to be compared and then state which specific location or category has the higher value as your final answer.

Question 2. (4) At an exhibition, the Annapoorna Savings Group sold goods worth Rs. 5,12,345. The Nirman Group sold goods worth Rs. 4,12,900. This figure was Rs. 4,33,000 for the Srujan Group and Rs. 5,11,937 for the Savitribai Phule group.
Which group had the largest sales?
Which group had the smallest?
Write the sales figures in ascending order.
Answer:Among the numbers Rs. 5,12,345; Rs. 4,12,900; Rs. 4,33,000; Rs. 5,11,937 Rs. 5,12,345 is largest and Rs. 4,12,900 is smallest. Hence, Annapoorna group had the largest sale and Nirman Group had the smallest sales. Sales in ascending order 4,12,900 < 4,33,000 < 5,11,937 < 5,12,345
In simple words: To find the largest and smallest sales, compare all the given sales figures. Then, arrange these figures from the smallest to the largest to show them in ascending order.

🎯 Exam Tip: For problems involving multiple numbers, first identify all values, then systematically compare them to find the maximum and minimum. Finally, arrange them correctly in the requested order (ascending or descending).

Introducing Crores

99,99,999 is the biggest seven-digit number. On adding the number 1 to it, we get the smallest eight-digit number, 1,00,00,000. We read this number as 'one crore'. The new place created to write this number is called the 'crores' place. From the following examples, you can learn to read eight-digit numbers.

Number - Reading

8,45,12,706 - Eight crore forty-five lakh twelve thousand seven hundred and six
5,61,63,589 - Five crore sixty-one lakh sixty-three thousand five hundred and eighty-nine
6,09,04,034 - Six crore nine lakh four thousand and thirty-four

Something More

On the left of the crores place are the places for ten crores, abja, and ten abja in that order. The place value of each of these is ten times the value of the one on its right. According to the Census of the year 2011, the population of our country is 1,21,01,93,422. We read this as 'one Abuja twenty-one crore one lakh ninety-three thousand four hundred and twenty-two.

Numbers	In words	Number of zeroes after 1
1	One	-
10	Ten	1
100	Hundred	2
1,000	One thousand	3
10,000	Ten thousand	4
1,00,000	Lakh	5
10,00,000	Ten lakh	6
1,00,00,000	Crore	7
10,00,00,000	Ten crore	8
1,00,00,00,000	Abja	9

ℹ️ चित्र व्याख्या (Diagram Explanation): यह चित्र रूसी नेस्टिंग डॉल (मैट्रिओष्का) की एक श्रृंखला को दर्शाता है, जिसमें प्रत्येक गुड़िया भारतीय संख्या प्रणाली के एक स्थान मान (Place Value) को दर्शाती है। सबसे बड़ी गुड़िया 'करोड़' को और सबसे छोटी गुड़िया 'इकाई' को दर्शाती है, जो स्थान मानों के पदानुक्रम को स्पष्ट रूप से समझाती है।

Roman Numerals Problem Set 4 Additional Important Questions And Answers

Question 1. Write the proper symbol, '<' or '>' in the box.
(1) 68,34,170 [ ] 8,43,170
(2) 5,04,132 [ ] 5,04,123
(3) 1,01,001 [ ] 1,00,101
(4) 14,55,432 [ ] 4,54,532
Answer:
(1) >
(2) >
(3) >
(4) >
In simple words: To answer this, compare the pairs of numbers and insert the correct symbol (greater than > or less than <) to show their relationship.

🎯 Exam Tip: Always compare numbers digit by digit from left to right, starting with the highest place value, to accurately determine if one number is greater or smaller than another.

Question 2. Write the numbers in words.
(1) 15,97,21,409
Answer:Fifteen crore, ninety-seven lakh, twenty-one thousand, four hundred and nine
In simple words: Convert the given numerical figure into its corresponding word form according to the Indian numbering system.

🎯 Exam Tip: Practice identifying the place value of each digit (crore, lakh, thousand, hundred, etc.) in the Indian numbering system to correctly write large numbers in words.

Question 2. (2) 99,99,99,999
Answer:Ninety-nine crore, ninety-nine lakh, ninety-nine thousand, nine hundred and ninety nine.
In simple words: Express this large number in its written form, using the Indian place value system.

🎯 Exam Tip: Be precise with the 'ninety-nine' repetition across different place values when writing such a number in words to avoid omissions.

Question 2. (3) 7,54,21,607
Answer:Seven crore, fifty-four lakh, twenty-one thousand, six hundred and seven.
In simple words: Write out the number 7,54,21,607 using words, following the Indian number system.

🎯 Exam Tip: Always group digits according to the Indian place value system (thousands, lakhs, crores) before converting them to words for accuracy.

Question 2. (4) 5,16,36,854
Answer:Five crore, sixteen lakh, thirty-six thousand, eight hundred and fifty four.
In simple words: Translate the numerical value 5,16,36,854 into its full word form.

🎯 Exam Tip: Ensure correct spelling of all number words and proper use of commas (or spaces, depending on style guide) when writing numbers in words.

Question 3. Write in figures.
(1) One crore, fifteen lakh, fifty-nine thousand, seven hundred and four
Answer:1,15,59,704
In simple words: Convert the given number from words into its numerical form.

🎯 Exam Tip: When converting words to figures, pay attention to each place value (crore, lakh, thousand, hundred) and use zeroes as placeholders for missing values.

Question 3. (2) Sixty-five crore, seventy lakh, fifty thousand and thirty nine
Answer:65,70,50,039
In simple words: Transform the number written in words into its numerical digit representation.

🎯 Exam Tip: Break down the number word by word, identifying the place value for each part (e.g., "sixty-five crore" for 65,00,00,000) and then combine them, ensuring proper comma placement.

Question 3. (3) Four crore, fifty-nine lakh, forty-three thousand, five hundred and thirty four
Answer:4,59,43,534
In simple words: Convert the number expressed in words into its digit form.

🎯 Exam Tip: Be careful with spellings like "fourty-three" which should be "forty-three". Always re-read the number in figures to ensure it matches the words precisely.

Question 3. (4) Eighteen crore, seventy-six lakh, fifty-four thousand and one
Answer:18,76,54,001
In simple words: Convert the number written out in words into its standard numerical form.

🎯 Exam Tip: Remember to use zeroes as placeholders for any place values not explicitly mentioned in the word form, such as hundreds or tens in "and one".

Question 4. Fill in the blanks in the table below:
Answer:

Devnagari numerals	International numerals	Number written in words
३,७०६	3,706	Three thousand seven hundred and six
४५,९८२	45,982	Forty-five thousand nine hundred and eighty-two
१४,०२१	14,021	Fourteen thousand, twenty-one
५,०३७	5,037	Five thousand and thirty-seven

In simple words: This task requires converting numbers between Devnagari numerals, International numerals, and their English word forms, demonstrating understanding of different numbering conventions.

🎯 Exam Tip: Pay close attention to the specific numeral system (Devnagari vs. International) and ensure accurate translation of digits and place values when converting to and from words.

Question 5. Write the following numbers in words.
(1) 17,301
(2) 45,019
(3) 40,018
(4) 28,740
Answer:
(1) Seventeen thousand, three hundred and one.
(2) Forty-five thousand and nineteen.
(3) Forty thousand and eighteen
(4) Twenty-eight thousand seven hundred and forty
In simple words: Convert each given numerical value into its written word form.

🎯 Exam Tip: Focus on correct spelling of number words and accurately placing 'and' (e.g., 'three hundred and one') where applicable.

Question 6. How many Rs. do they make?
(1) 8 notes of Rs. 2,000, 3 notes of Rs. 100, 11 notes of Rs. 10.
Answer:16,410
In simple words: Calculate the total value by multiplying the number of notes by their respective denominations and adding them up.

🎯 Exam Tip: Perform multiplication for each denomination first, then sum up all the products carefully to get the correct total amount.

Question 6. (2) 9 notes of Rs. 2,000, 18 notes of Rs. 100, 18 notes of Rs. 50, 18 notes of Rs. 10.
Answer:20,880
In simple words: Multiply the quantity of each note denomination by its value and then sum all these products to find the grand total.

🎯 Exam Tip: Break down the problem into smaller calculations for each note denomination, then add the sub-totals. Double-check each multiplication and the final addition.

Question 6. (3) Write the smallest and the biggest five-digit numbers that can be made using the digits only once.
(a) 6, 8, 0, 1, 9
(b) 3, 5, 1, 2, 8
Answer:Smallest number : (i) 10,689 (ii) 12358 Biggest number : (i) 98,610 (ii) 85321
In simple words: Arrange the given digits to form the smallest and largest possible five-digit numbers, ensuring each digit is used only once. For the smallest, avoid starting with zero.

🎯 Exam Tip: To form the smallest number, arrange digits in ascending order (but the first digit cannot be zero). To form the largest, arrange digits in descending order.

Question 6. (4) Write the smallest and the biggest number from the following numbers.
(a) 35,798
(b) 39,785
(c) 39,587
(d) 35,789
Answer:Smallest number : 35,789 Biggest number : 39,785
In simple words: Compare all the given numbers to identify the one with the lowest value and the one with the highest value.

🎯 Exam Tip: Systematically compare the numbers digit by digit from left to right (highest place value to lowest) to accurately determine the smallest and biggest values.

Question 6. (5) Write the number from the given number which is neither biggest nor smallest.
(a) 45,798
(b) 45,789
(c) 45,897
Answer:45,798.
In simple words: Identify the smallest and largest numbers among the given set, then select the remaining number that is neither the maximum nor the minimum.

🎯 Exam Tip: First, list the numbers in ascending or descending order. The number(s) in the middle will be neither the biggest nor the smallest. In this case, with only three, it's the middle one.

Question 6. (6) Write the biggest and the smallest three-digit numbers that can be made using the digits 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 only once.
Answer:Biggest three-digit number : 987 Smallest three-digit number : 102
In simple words: From the provided set of digits, select three distinct digits to form the largest possible three-digit number and the smallest possible three-digit number (ensuring it doesn't start with zero).

🎯 Exam Tip: For the biggest number, pick the three largest distinct digits and arrange them in descending order. For the smallest, pick the two smallest non-zero digits and zero, then arrange them to make the smallest number (e.g., 102, not 012).

Question 7. Read the numbers and write them in words.
(1) 2,65,048
(2) 1,80,794
(3) 1,06,709
(4) 8,80,006
Answer:
(1) Two lakh sixty-five thousand and forty-eight.
(2) One lakh eighty thousand seven hundred and ninety-four.
(3) One lakh six thousand seven hundred and nine.
(4) Eight lakh eighty thousand and six.
In simple words: Convert each numerical figure into its corresponding word form according to the Indian numbering system.

🎯 Exam Tip: Double-check the spelling of all number words and ensure the correct placement of "and" in the numerical phrasing.

Question 8. Read the numbers and write them in figures.
(1) Two lakh five thousand three hundred and six.
(2) Six lakh and six
(3) Nine lakh forty thousand and thirty seven.
(4) Five lakh ninety-nine thousand and fifteen.
Answer:
(1) 2,05,306
(2) 6,00,006
(3) 9,40,037
(4) 5,99,015
In simple words: Transform the numbers given in words back into their numerical digit representation.

🎯 Exam Tip: Use zeroes as placeholders for any place values (e.g., thousands, hundreds, tens) that are not explicitly mentioned in the word form of the number.

Question 9. Write six, six-digit numbers using the digits 0, 3, 5, 7, 9, 1 only once with 9 lakh fifty-seven thousand in all numbers.
Answer:
(1) 9,57,301
(2) 9,57,310
(3) 9,57,103
(4) 9,57,130
(5) 9,57,013
(6) 9,57,031
In simple words: Create six unique six-digit numbers using the given digits (0, 1, 3, 5, 7, 9), ensuring that the 'lakh' and 'ten thousand' places always represent 9 lakh and 57 thousand respectively, and each digit is used only once per number.

🎯 Exam Tip: Fix the 'lakh' and 'ten thousand' digits first (9 and 57). Then, permute the remaining four digits (0, 1, 3, 7) to form the last four places, ensuring each combination is unique.

Question 9. (A) Match the columns:

(A)	(B)
(1) Nine lakh nine thousand nine	(a) 9,09,090
(2) Nine lakh nine thousand nine hundred nine	(b) 9,90,090
(3) Nine lakh nine thousand ninety	(c) 9,09,009
(4) Nine lakh ninety thousand ninety	(d) 9,09,909

Answer:
(1 - c)
(2 - d)
(3 - a)
(4 - b)
In simple words: Match each number written in words from Column A with its correct numerical representation in Column B.

🎯 Exam Tip: Carefully read each number in words, identifying its place values, and then find the exact numerical match in the other column. A single digit mismatch can lead to an incorrect pairing.

Question 9. (B) Match the columns:

(A)	(B)
(1) Thirty-three lakh, three thousand and three	(a) 33,30,300
(2) Thirty-three lakh, thirty thousand, three hundred	(b) 33,03,003
(3) Thirty lakh, three thousand and thirty.	(c) 30,30,003
(4) Thirty lakh, thirty thousand and three	(d) 30,03,030

Answer:
(1 - b)
(2 - a)
(3 - d)
(4 - c)
In simple words: Pair the number written in words from Column A with its correct numerical representation in Column B.

🎯 Exam Tip: Double-check the place values for lakhs, thousands, and hundreds, especially when zeroes are used as placeholders, to ensure accurate matching.

Question 10. Read the numbers and write them in words.
(1) 34,87,569
(2) 70,85,039
(3) 48,07,102
(4) 67,40,960
(5) 88,00,080
(6) 40,40,004
Answer:
(1) Thirty-four lakh, eighty-seven thousand, five hundred and sixty-nine.
(2) Seventy lakh, eighty-five thousand and thirty-nine.
(3) Forty-eight lakh, seven thousand, one hundred and two.
(4) Sixty-seven lakh, forty thousand, nine hundred and sixty.
(5) Eighty-eight lakh and eighty.
(6) Forty lakh, forty thousand and four.
In simple words: Write out each given numerical figure in its complete word form, adhering to the Indian numbering system.

🎯 Exam Tip: Pay close attention to place values and the use of 'and' for connecting hundreds and tens/units (e.g., "five hundred and sixty-nine").

Question 11. Read the numbers and write them in figures.
(1) Fifty-nine lakh, seven thousand, seventeen.
(2) Twenty-two lakh, ten thousand, five hundred.
(3) Fifty-two lakh, twenty-five thousand, four hundred and fifteen.
(4) Thirty lakh, thirty thousand and thirty.
Answer:
(1) 59,07,017
(2) 22,10,500
(3) 52,25,415
(4) 30,30,030
In simple words: Convert each number from its written word form into its standard numerical figure.

🎯 Exam Tip: Ensure that all place values are accounted for, using zeroes as placeholders where a value is not explicitly stated (e.g., 59,07,017 for 'seven thousand, seventeen' means zero hundreds).

Question 12. Write the place value of the underlined digit.
(1) 68,03,512
(2) 3,42,157
(3) 84,52,170
(4) 79,345
(5) 38,14,093
(6) 8,10,618
(7) 35,10,387
Answer:
(1) 8,00,000
(2) 40,000
(3) 2,000
(4) 5
(5) 90
(6) 600
(7) 30,00,000
In simple words: For each number, identify the digit that would have been underlined and state its value based on its position within the number.

🎯 Exam Tip: To find the place value, identify the position of the digit (units, tens, hundreds, thousands, etc.) and multiply the digit by the value of that position.

Question 13. Write the numbers in their expanded form.
(1) 78,15,692
(2) 50,95,182
(3) 6,40,078
(4) 9,58,802
Answer:
(1) 70,00,000 + 8,00,000 + 10,000 + 5,000 + 600 + 90 + 2
(2) 50,00,000 + 90,000 + 5,000 + 100 + 80 + 2
(3) 6,00,000 + 40,000 + 70 + 8
(4) 9,00,000 + 50,000 + 8,000 + 800 + 2
In simple words: Break down each number into the sum of the place values of its individual digits.

🎯 Exam Tip: Write each digit multiplied by its corresponding place value (e.g., 7 x 10,00,000) and then list these products as a sum. Ensure no place value is missed, even if it has a zero digit.

Question 14. Write the place name and place value of each digit in the following numbers.
(1) 27,306
(2) 1,70,425
(3) 75,68,041
(4) 55,555
Answer:
For (1) 27,306:
Digit 2: Place Name - Ten Thousands, Place Value - 20,000
Digit 7: Place Name - Thousands, Place Value - 7,000
Digit 3: Place Name - Hundreds, Place Value - 300
Digit 0: Place Name - Tens, Place Value - 0
Digit 6: Place Name - Units, Place Value - 6
[Note: Answers for (2), (3), and (4) would follow a similar format listing place name and place value for each digit.]
In simple words: For each digit in a given number, identify its position (e.g., units, tens, hundreds) and then state the numerical value it represents in that position.

🎯 Exam Tip: To get full marks, ensure you clearly state both the 'place name' (e.g., Thousands, Lakhs) and the exact 'place value' (e.g., 7,000, 8,00,000) for every single digit in the number.

Question 15. The expanded form of the number is given. Write the number.
(1) 70,000 + 6,000 + 500 + 40 + 8
(2) 8,00,000 + 30,000 + 5,000 + 400 + 3
(3) 60,00,000 + 2,00,000 + 70 + 4
(4) 20,00,000 + 5,00,000 + 900 + 5
Answer:
(1) 76,548
(2) 8,35,403
(3) 62,00,074
(4) 25,00,905
In simple words: Combine all the place values provided in the expanded form to reconstruct the original number.

🎯 Exam Tip: Align the numbers by their place values vertically and then add them up. Be careful with zeroes as placeholders in the resulting number.

Question 16. Considering the number 50,43,176. Fill in the blanks.
(1) The digit in the ten thousand place is 4.
(2) Place value of 1 is 100.
(3) The digit in the lakhs place is 0.
(4) Place value of 5 is 50,00,000.
(5) The digit 7 is in tens place.
Answer:
(1) 4
(2) 100
(3) 0
(4) 50,00,000
(5) tens
In simple words: Identify specific digits and their corresponding place values within the given number to fill in the blanks.

🎯 Exam Tip: Read the place value names carefully (e.g., 'lakhs' vs. 'ten lakhs') and locate the correct digit for each, or calculate the value of a specific digit based on its position.

Question 17. Write the proper symbols '<' or '>' in the box.
(1) 12,625 [ ] 21,526
(2) 23,564 [ ] 23,546
(3) 36,60,660 [ ] 36,60,606
(4) 89,14,507 [ ] 89,15,407
Answer:
(1) <
(2) >
(3) >
(4) <
In simple words: Compare each pair of numbers and insert the correct inequality symbol, either less than (<) or greater than (>), to show their relative sizes.

🎯 Exam Tip: When comparing numbers, always start from the leftmost digit (highest place value). If they are equal, move to the next digit to the right until a difference is found.

Question 18. Solve the problems given below.
(1) Population of city A is 8,57,238 and that of city B is 8,75,461. Population of which city is more?
Answer:city B
In simple words: Compare the populations of City A and City B to determine which city has a larger population.

🎯 Exam Tip: Identify the two numerical values and state the name of the entity corresponding to the larger value as the answer. Clear comparison is key.

Question 18. (2) Yearly income of Rajnikant is Rs. 3,48,600 and that of Shashikant is Rs. 3,46,500. Whose income is less?
Answer:Shashikant
In simple words: Compare Rajnikant's and Shashikant's annual incomes to find out who earns less.

🎯 Exam Tip: When comparing incomes or similar values, carefully identify the two numbers and then conclude with the name of the person or entity associated with the smaller value.

Question 19. Profit of the four companies A, B, C, D is as follows.

Company	A	B	C	D
Profit (in Rs.)	23,15,809	32,13,698	21,35,410	31,25,743

Now, answer the following questions.
(1) Which company made maximum profit?
(2) Which company made minimum profit?
(3) Write the profit of the companies in the descending order.
Answer:
(1) B
(2) C
(3) profit of company B > D > A > C
In simple words: Analyze the profit data for all companies to identify the highest and lowest profits, then arrange all profits from the greatest to the smallest.

🎯 Exam Tip: For comparing multiple values, it's often helpful to list them out in an order (e.g., ascending or descending) first, which makes identifying maximum, minimum, and overall order much easier.

Question 20. In a certain election, candidates : Tavade, Patel, Chauhan, and Shinde got the votes as follows.

Candidates	Tavade	Chauhan	Patel	Shinde
Votes obtained	43,51,239	37,51,386	48,00,173	34,67,008

Now, answer the following questions.
(1) Who got the highest number of votes?
(2) Who got the least number of votes?
(3) Write the number of votes obtained in the ascending order.
Answer:
(1) Patel
(2) Shinde
(3) 34,67,008 < 37,51,386 < 43,51,239 < 48,00,173
In simple words: Examine the votes each candidate received to find out who secured the most and the least votes, then arrange all vote counts from smallest to largest.

🎯 Exam Tip: Carefully compare all vote counts to correctly identify the maximum and minimum. When listing in ascending order, ensure the smallest value comes first and the largest last, with correct comparison symbols.

Question 21. Compare the following using >, < or = signs.
(1) 3,97,48,632 [ ] 3,97,58,632
(2) 1,50,15,178 [ ] 1,50,15,780
(3) 3,74,98,561 [ ] 96,42,748
(4) 30,49,75,831 [ ] 30,49,00,831
Answer:
(1) <
(2) <
(3) >
(4) >
In simple words: For each pair of numbers, insert the appropriate comparison symbol (greater than, less than, or equal to) to indicate their relationship.

🎯 Exam Tip: Be methodical: compare digit by digit from the leftmost position. If the digits at a particular place value are different, that determines the comparison. If all digits are the same, the numbers are equal.

Question 22. Circle the correct answer:
(1) Mark periods 617231801 according to the Indian Number system.
(a) 61,72,31,801
(b) 16,172,31
(c) 617,231,801
Answer: (a) 61,72,31,801
In simple words: Apply the Indian numbering system's comma placement rules (after the hundreds place, then every two digits) to the given number.

🎯 Exam Tip: Remember the Indian system uses commas after the first three digits from the right, and then after every two digits, for example: 1,00,000 (one lakh), 1,00,00,000 (one crore).

Question 22. (2) Mark periods 90289164 according to the international Number system.
(a) 9,0289,164
(b) 902891,64
(c) 90,289,164
Answer: (c) 90,289,164
In simple words: Apply the international numbering system's comma placement rules (every three digits from the right) to the given number.

🎯 Exam Tip: In the International Number System, commas are placed after every three digits from the right, grouping them as thousands, millions, billions, etc.

Question 22. (3) 1,00,00,000 is read as ................................................................
(a) ten crore
(b) one crore
(c) hundred thousand
Answer: (b) one crore
In simple words: Identify the correct way to read the number 1,00,00,000 in the Indian numbering system.

🎯 Exam Tip: Familiarize yourself with the Indian place value chart, where 1,00,00,000 directly corresponds to "one crore."