RBSE Solutions Class 6 Maths Chapter 1 Know the Numbers Important Questions

Rajasthan Board RBSE Class 6 Maths Chapter 1 Know The Numbers Additional Questions

Multiple Choice Questions

Question 1. Using 7, 9, 2, 8 largest number formed will be:
(i) 7,928
(ii) 2,879
(iii) 9,872
(iv) 9,782
Answer: (iii) 9,872
In simple words: To make the largest number from given digits, arrange them from biggest to smallest. So, 9, 8, 7, 2 makes 9,872.

🎯 Exam Tip: Always place the largest digit in the leftmost position to form the greatest number.

Question 2. Smallest four digit number will be:
(i) 9,900
(ii) 1,099
(iii) 9,999
(iv) 1000
Answer: (iv) 1000
In simple words: The smallest number with four digits is 1000 because it's the first number that uses four places for digits.

🎯 Exam Tip: Remember that a four-digit number ranges from 1000 to 9999. The first number in this range is the smallest.

Question 3. Adding 1 to 99,999 number obtained will be:
(i) 10,00,000
(ii) 1,00,000
(iii) 99,990
(iv) 99,900
Answer: (ii) 1,00,000
In simple words: When you add one to 99,999, it becomes 1,00,000. This is the first number with six digits.

🎯 Exam Tip: Adding 1 to the largest number of 'n' digits always gives the smallest number of 'n+1' digits.

Question 4. In Roman system 64 will be written as:
(i) LXV
(ii) LXIV
Answer: (ii) LXIV
In simple words: In Roman numerals, 60 is LX and 4 is IV. So, 64 is written by putting them together as LXIV.

🎯 Exam Tip: Remember the subtraction rule in Roman numerals (e.g., IV for 4, IX for 9) where a smaller value placed before a larger one means subtraction.

Question 6. Round off 78 to nearest ten will be:
(i) 70
(ii) 75
(iii) 80
(iv) 78
Answer: (iii) 80
In simple words: To round 78 to the nearest ten, look at the last digit, which is 8. Since 8 is 5 or more, you round up the tens digit. This changes 78 to 80.

🎯 Exam Tip: When rounding to the nearest ten, if the unit digit is 5 or more, round up the tens digit; otherwise, keep the tens digit the same and change units to zero.

Question 7. Round off 946 to nearest hundred will be:
(i) 940
(ii) 945
(iii) 950
(iv) 900
Answer: (iv) 900
In simple words: To round 946 to the nearest hundred, look at the tens digit, which is 4. Since 4 is less than 5, you round down, which means the hundreds digit stays the same and the rest become zero. This changes 946 to 900.

🎯 Exam Tip: When rounding to the nearest hundred, check the tens digit. If it's 5 or more, round up the hundreds digit; if it's less than 5, keep the hundreds digit as is.

Question 8. Using 2, 4, 1 six digit smallest number will be:
(i) 124112
(ii) 111124
(iii) 112141
(iv) 424211
Answer: (ii) 111124
In simple words: To make the smallest six-digit number using 2, 4, 1, we need to repeat the smallest digit (1) as many times as possible after placing it first. So, we use 1, 1, 1, 1, 2, 4 to form 111124.

🎯 Exam Tip: To create the smallest number from a set of digits, arrange them in ascending order. If you need to make a longer number, repeat the smallest digits as required.

Fill In The Blanks

Question 1. Fill in the blanks:
(i) 1 million = ______ lakh
(ii) 1 crore = ______ million
(iii) 1 km = ______ m
(iv) 1 gm = ______ mg
(v) 1 litre = ______ ml
Answer:
(i) 1 million = 10 lakh
(ii) 1 crore = 10 million
(iii) 1 km = 1000 m
(iv) 1 gm = 1000 mg
(v) 1 litre = 1000 ml
In simple words: These are standard conversions between different units. A million is ten times a lakh, and a crore is ten times a million. Kilometers, grams, and liters each contain 1000 of their smaller units (meters, milligrams, and milliliters, respectively).

🎯 Exam Tip: Memorize common conversion factors for units of length, mass, and volume, and understand the relationship between Indian and International number systems.

Very Short Answer Type Questions

Question 1. In following number marks largest number by circle and smallest number by box:
(i) 8972, 2978, 7982, 9287, 9872
(ii) 3126, 6321,1236, 6123, 2361
Answer:
(i) Largest number: 9872, Smallest number: 2978
(ii) Largest number: 6321, Smallest number: 1236
In simple words: For each list of numbers, find the biggest one and the smallest one. To find the largest, look for the number with the most digits, or the biggest first digit. To find the smallest, look for the number with the fewest digits, or the smallest first digit.

🎯 Exam Tip: Compare numbers digit by digit from left to right. The number with a larger digit at the highest place value is greater.

Question 2. Using digits 6, 1, 4 make largest and smallest number then find their difference.
Answer:
Using digits 6, 1, 4:
Largest number = 641
Smallest number = 146
Difference = Largest number - Smallest number
Difference = 641 - 146 = 495
In simple words: First, use the digits to make the biggest number you can, then make the smallest number. After that, subtract the smaller number from the bigger number to find the difference.

🎯 Exam Tip: To form the largest number, arrange digits in descending order; for the smallest, arrange in ascending order (unless a zero is involved, then place it second). Then perform subtraction carefully.

Question 3. Writing the numbers in descending order: 704916, 691740, 619704, 619407
Answer:
Writing the numbers in descending order:
\( 704916 > 691740 > 619704 > 619407 \)
In simple words: To write numbers in descending order means to arrange them from the biggest number to the smallest number. We start with the largest and end with the smallest.

🎯 Exam Tip: Compare numbers by their place values from left to right. Descending order means largest to smallest, using the \( > \) symbol.

Question 4. Write 876259, 876295, 876952, 879652, 879256 in ascending order.
Answer:
Writing the numbers in ascending order:
\( 876259 < 876295 < 876952 < 879256 < 879652 \)
In simple words: Ascending order means arranging numbers from the smallest to the largest. We look at each number and place them in an increasing sequence.

🎯 Exam Tip: When numbers have the same leading digits, compare the next digits to determine their true order. Ascending order means smallest to largest, using the \( < \) symbol.

Question 5. Round off 4827 to nearest ten and hundred.
Answer:
Number = 4827
Round off to nearest ten = 4830 (Since the unit digit 7 is greater than 5, we round up the tens digit.)
Round off to nearest hundred = 4800 (Since the tens digit 2 is less than 5, we keep the hundreds digit as it is.)
In simple words: To round 4827, first make it closer to the nearest ten (which is 4830). Then, make it closer to the nearest hundred (which is 4800).

🎯 Exam Tip: Pay close attention to the digit immediately to the right of the place you are rounding to. This digit decides whether to round up or down.

Short/Long Answer Type Questions

Question 1. Workers of a company made 4,620 items daily. Find how many items they will make in 60 days.
Answer:
Items made in 1 day = 4,620
Items will be made in 60 days = \( 4,620 \times 60 \)
\( = 2,77,200 \)
Thus, in 60 days, a total of 277200 items will be made. Making items daily helps a company reach its production goals efficiently.
In simple words: If workers make 4,620 items each day, multiply that number by 60 to find out how many items they will make over 60 days.

🎯 Exam Tip: For problems involving 'items per day' over multiple days, always use multiplication to find the total number of items.

Question 2. There are 150 students in a classroom. Out of which 88 are boys. How many girls will be there?
Answer:
Total students in the classroom = 150
Number of boys = 88
Number of girls = Total students - Number of boys
Number of girls = \( 150 - 88 = 62 \)
So, there will be 62 girls in the classroom. This shows the distribution of genders in the class.
In simple words: To find the number of girls, subtract the number of boys from the total number of students in the classroom.

🎯 Exam Tip: For problems where you have a total and one part, use subtraction to find the other part. Always double-check your subtraction.