Samacheer Kalvi Class 5 Maths Solutions Term 1 Chapter 2 Numbers InText Questions

Activity (Text Book Page No.26)

Question. Add up to ten in the table and practice orally.
Answer: Here is the completed table showing numbers counted by tens, helping to visualize number patterns and sequencing.

🎯 Exam Tip: When filling number grids, look for patterns in rows (like counting by tens) and columns (like adding 100) to complete them quickly and accurately.

Activity (Text Book Page No.27)

Question. Show lakhs in many ways by filling the blanks in the diagram.
Answer: Here is the diagram showing how 'one lakh' can be broken down in different ways. One lakh is a large number that can be expressed in various units, such as 100 thousands or 100,000 ones.
In simple words: The diagram shows different ways to think about the number one lakh, like how many thousands, tens, or ones it makes up.

🎯 Exam Tip: Understanding place value and how larger numbers are made up of smaller units is key for number system concepts and converting between different forms.

Question. Show crore in many ways by filling the blanks in the diagram.
Answer: Here is the diagram showing how 'one crore' can be understood as different combinations of place values. A crore is a very big number equal to 100 lakhs or 10,000 thousands.
In simple words: This diagram explains how the number 'one crore' can be seen in various forms, like how many thousands, lakhs, or ones it contains.

🎯 Exam Tip: Being able to break down large numbers into different place values helps with understanding and comparing them, which is vital for complex calculations.

Question. Fill in the correct numbers in the following tables.
Answer: Here are the tables with the correct numbers filled in, showing the value of each place in the Indian number system. This helps in understanding the relationship between different place values.

🎯 Exam Tip: Always remember the Indian Place Value System (ones, tens, hundreds, thousands, ten thousands, lakhs, ten lakhs, crores, ten crores) to fill these tables correctly and understand number magnitudes.

Activity: 1 (Text Book Page No.28)

Question. The Abacus shows the number 34,284. Write its number name and expanded form, filling in the blanks.
Answer: The Abacus shows the number thirty-four thousand two hundred and eighty-four. An abacus helps visualize place values clearly, showing how each digit contributes to the total value. Its expanded form is:
Number name: Thirty four thousand two hundred and eighty four.
Expanded form: 3 Ten thousands + 4 thousands + 2 hundreds + 8 tens + 4 ones.
= 30,000 + 4,000 + 200 + 80 + 4
= 3 × 10,000 + 4 × 1,000 + 2 × 100 + 8 × 10 + 4 × 1
In simple words: The abacus shows the number 34,284. We write its name as "Thirty-four thousand two hundred and eighty-four" and break it down into the value of each digit.

🎯 Exam Tip: Pay close attention to the number of zeros in each place value (e.g., thousands have three zeros, tens have one zero) when writing expanded forms to ensure accuracy.

Try These (Text Book Page No.29)

Question. How many thousands are there in 3,45,789?
Answer: To find how many thousands are in 3,45,789, we look at the digits up to the thousands place. In the number 3,45,789, the digit in the thousands place is 5, and the digits before it (3 and 4) represent lakhs and ten thousands. When we count how many full thousands there are, we consider the number formed by the digits up to the thousands place. This means there are 345 thousands. Understanding place value is essential for this type of calculation.
345 thousands
In simple words: To find how many thousands are in a number like 3,45,789, just read the number up to the thousands place. Here, it is 345.

🎯 Exam Tip: To quickly find how many of a certain place value (e.g., thousands) are in a number, simply read the number formed by ignoring digits smaller than that place value.

Activity: 2 (Text Book Page No.29)

Question. Look at the Abacus and fill in the blanks.
Answer: The Abacus visually shows the number, making it easier to identify the number name and its expanded form. The beads on the abacus represent the value of each digit, offering a concrete way to understand place value.
Number: 52,41,258
Number Name: Fifty two lakhs forty one thousands two hundred and fifty eight.
Expanded form: 5 ten lakhs + 2 lakhs + 4 ten thousands + 1 thousand + 2 hundreds + 5 tens + 8 ones.
= 50,00,000 + 2,00,000 + 40,000 + 1,000 + 200 + 50 + 8.
In simple words: The abacus shows the number 52,41,258. Its name is "Fifty-two lakh forty-one thousand two hundred and fifty-eight" and it can be written by adding up the value of each digit.

🎯 Exam Tip: Practice identifying the number of beads on each rod of the abacus to correctly determine the digit for each place value in the number.

Activity: 3 (Text Book Page No.30)

Question. Look at the Abacus and fill in the blanks.
Answer: The abacus shows the number 6,42,35,415. The number can be clearly seen by counting the beads in each place. This helps understand the structure of large numbers and their composition.
Number Name: Six crores forty two lakhs thirty five thousands four hundred and fifteen.
Expanded form: 6 Crores + 4 ten lakhs + 2 lakhs + 3 ten thousands + 5 Thousands + 4 hundreds + 1 ten + 5 ones.
= 6,00,00,000 + 40,00,000 + 2,00,000 + 30,000 + 5,000 + 400 + 10 + 5.
= 6 × 1,00,00,000 + 4 × 10,00,000 + 2 × 1,00,000 + 3 × 10,000 + 5 × 1,000 + 4 × 100 + 1 × 10 + 5 × 1.
In simple words: The abacus shows the number 6,42,35,415. Its name is "Six crore forty-two lakh thirty-five thousand four hundred and fifteen" and its expanded form breaks it down by the value of each digit.

🎯 Exam Tip: When dealing with large numbers, correctly grouping digits for lakhs and crores in the Indian number system is crucial for writing the number name and expanded form accurately.

Activity (Text Book Page No.30)

Question. Write the place value of 7 and 1 for the given numbers.
(a) 81,70,453
(b) 3,46,710
(c) 1,87,13,971
Answer: Understanding place value helps identify the exact worth of a digit based on its position in a number. This is a fundamental concept for understanding number systems.
(a) For the number 81,70,453:
The place value of 7 is 7 × 10,000 = 70,000
The place value of 1 is 1 × 1,00,000 = 1,00,000
(b) For the number 3,46,710:
The place value of 1 is 1 × 10 = 10
The place value of 7 is 7 × 100 = 700
(c) For the number 1,87,13,971:
The place value of 1 is 1 × 1 = 1
The place value of 7 is 7 × 10 = 70
The place value of 1 is 1 × 10,000 = 10,000
The place value of 7 is 7 × 1,00,000 = 7,00,000
The place value of 1 is 1 × 1,00,00,000 = 1,00,00,000
In simple words: To find the place value of a digit, multiply the digit itself by the value of its position in the number (e.g., 7 in the thousands place is 7 times 1,000).

🎯 Exam Tip: Be careful with numbers that appear multiple times; calculate the place value for each occurrence based on its specific position within the number.

Try These (Text Book Page No.34)

Question. Fill in the blanks with the correct symbol (<, >, or =) to compare the numbers.
1. 3,002 ___ 8,002
2. 43,731 ___ 44,371
3. 43,115 ___ 43,511
4. 13,435 ___ 13,475
Answer: Comparing numbers means determining which one is greater, smaller, or if they are equal. We start by comparing the digits from the leftmost (highest) place value. This method ensures accurate comparison of numbers.
1. 3,002 < 8,002
2. 43,731 < 44,371
3. 43,115 < 43,511
4. 13,435 < 13,475
In simple words: Look at the numbers from left to right. The number with the bigger digit in the biggest place value is the greater number.

🎯 Exam Tip: When comparing numbers with the same number of digits, always start comparing from the leftmost digit (the highest place value) to quickly identify the larger or smaller number.

Activity (Text Book Page No.34)

Question 1. Form the smallest and greatest five digit numbers using the given digits once.
(a) 7, 1, 0, 5, 4
(b) 3, 4, 7, 0, 9
(c) 9, 7, 1, 6, 4
(d) 4, 5, 9, 6, 7
Answer: To form the smallest number, arrange digits in ascending order, placing the smallest non-zero digit first. To form the greatest number, arrange digits in descending order. This process helps understand how digit order affects the value of a number.
(a) Digits: 7, 1, 0, 5, 4
Smallest number = 10,457
Greatest number = 75,410
(b) Digits: 3, 4, 7, 0, 9
Smallest number = 30,479
Greatest number = 97,430
(c) Digits: 9, 7, 1, 6, 4
Smallest number = 14,679
Greatest number = 97,641
(d) Digits: 4, 5, 9, 6, 7
Smallest number = 45,679
Greatest number = 97,654
In simple words: For the smallest number, put the smallest digits first (but not zero at the very start). For the biggest number, put the biggest digits first.

🎯 Exam Tip: When forming the smallest number, if zero is one of the digits, always place the smallest non-zero digit first, followed by zero, to keep the number's length correct and maintain its smallest value.

Question 2. Write the smallest numbers in the fruit and the greatest number in the flower.
(a) 45678, 145, 7829
(b) 23, 8873, 88738, 883
Answer: We need to compare the given numbers to find the smallest and greatest in each set. This helps reinforce number comparison skills by identifying the extremes in a group of numbers.
(a) For 45678, 145, 7829:
Smallest number (in the fruit): 145
Greatest number (in the flower): 45678
(b) For 23, 8873, 88738, 883:
Smallest number (in the fruit): 23
Greatest number (in the flower): 88738
In simple words: Look at each group of numbers. Find the tiniest number and the biggest number in that group.

🎯 Exam Tip: To easily find the smallest or greatest number, first compare the count of digits; numbers with fewer digits are generally smaller.

Try These (Text Book Page No.36)

Question 1. Arrange the following numbers in the ascending order and descending order.
(i) 33,270; 1,078; 137; 27,935
(ii) 44,918; 32,113; 23,112; 42,231
(iii) 75,343; 30,475; 43,452; 13,055
(iv) 733; 34,946; 35,945; 23,745
Answer: Ascending order means arranging numbers from smallest to largest, while descending order means arranging them from largest to smallest. This skill is fundamental in mathematics for organizing data.
(i) Numbers: 33,270; 1,078; 137; 27,935
Ascending order: 137, 1,078, 27,935, 33,270
Descending order: 33,270, 27,935, 1,078, 137
(ii) Numbers: 44,918; 32,113; 23,112; 42,231
Ascending order: 23,112, 32,113, 42,231, 44,918
Descending order: 44,918, 42,231, 32,113, 23,112
(iii) Numbers: 75,343; 30,475; 43,452; 13,055
Ascending order: 13,055, 30,475, 42,452, 75,343
Descending order: 75,343, 42,452, 30,475, 13,055
(iv) Numbers: 733; 34,946; 35,945; 23,745
Ascending order: 733, 23,745, 34,946, 35,945
Descending order: 35,945, 34,946, 23,745, 733
In simple words: Ascending means going up (small to big). Descending means coming down (big to small).

🎯 Exam Tip: When arranging numbers, especially those with different digit counts, always compare the highest place value first to avoid errors and correctly order them.