Knowing Our Numbers — Previous Year Questions (Class 6 Mathematics)
Master place value, number operations, and estimation with real CBSE exam questions. Build strong number sense for higher mathematics.
TL;DR: Master place value, number operations, and estimation with real CBSE exam questions. Build strong number sense for higher mathematics.
Written & reviewed by the Syllab.in Academic Team (CBSE/NCERT subject experts) · Updated
Master place value, number operations, and estimation with real CBSE exam questions. Build strong number sense for higher mathematics.
Knowing Our Numbers — Previous Year Questions with Solutions
Q (2023, 2 marks): Write the number 45,32,678 in words and identify the place value of the digit 3.
Answer: The number 45,32,678 is written as: Forty-five lakh thirty-two thousand six hundred seventy-eight.
Place value of digit 3: The digit 3 is in the ten-thousands place.
Place value = 3 × 10,000 = 30,000
Q (2022, 2 marks): Arrange the following numbers in ascending order: 7,89,456; 7,98,654; 7,89,465; 7,89,456
Answer: To arrange in ascending order, compare digits from left to right:
7,89,456; 7,89,456; 7,89,465; 7,98,654
Ascending order: 7,89,456 = 7,89,456 < 7,89,465 < 7,98,654
Q (2023, 2 marks): Round off 4,67,892 to the nearest thousand.
Answer: To round to nearest thousand, look at the hundreds digit.
4,67,892: The hundreds digit is 8 (≥5), so round up.
4,67,892 rounded to nearest thousand = 4,68,000
Q (2022, 3 marks): Find the sum of the largest 4-digit number and the smallest 3-digit number.
Answer: Largest 4-digit number = 9,999
Smallest 3-digit number = 100
Sum = 9,999 + 100 = 10,099
Q (2023, 3 marks): Insert commas in 123456789 according to Indian number system and write it in words.
Answer: Indian number system: 12,34,56,789
In words: Twelve crore thirty-four lakh fifty-six thousand seven hundred eighty-nine
Q (2022, 3 marks): A book costs Rs 235. If Rahul buys 42 books, estimate the total cost (round to nearest ten for calculation).
Answer: Cost of one book ≈ Rs 240 (rounded to nearest ten)
Number of books ≈ 40 (rounded to nearest ten)
Estimated total cost = 240 × 40 = Rs 9,600
Frequently Asked Questions
What is the difference between place value and face value?
Face value is the digit itself (e.g., face value of 3 in 45,32,678 is 3). Place value is the value of the digit based on its position (e.g., place value of 3 is 30,000). Place value = Face value × Position value.
How do we round numbers in the Indian system?
Look at the digit to the right of the position you're rounding to. If it is 5 or more, round up; if less than 5, round down. For example, 4,67,892 rounded to nearest thousand is 4,68,000 because the hundreds digit is 8 (≥5).
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