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RD Sharma Solutions Class 6 Maths Knowing Our Numbers - Exercise 1.7 PDF

Q1: Estimate the following by rounding off each factor to nearest hundreds:
(i) 730 + 998
(ii) 796 – 314
(iii) 875 – 384
Ans:
(i) It can be rounded off to the nearest hundreds as 700 + 1000 = 1, 700.
(ii) It can be rounded off to the nearest hundreds as 800 – 300 = 500.
(iii) It can be rounded off to the nearest hundreds as 900 – 400 = 500.

Q2: Estimate the following by rounding off each factor to nearest thousands:
(i) 12, 094 + 2, 888
(ii) 28, 292 – 21, 496
Ans:
(i) It can be rounded off to the nearest thousands as 13, 000 + 3, 000 = 16, 000.
(ii) It can be rounded off to the nearest thousands as 28, 000 – 21, 000 = 7, 000.

Q3: Estimate the following by rounding off each number to its greatest place:
(i) 439 + 334 + 4, 317
(ii) 8, 325 – 491
(iii) 1, 08, 734 – 47, 599
(iv) 898 × 785
(v) 9 × 795
(vi) 87 × 317
Ans:
(i) It can be rounded off to its greatest place as 400 + 300 + 4, 000 = 4, 700.
(ii) It can be rounded off to its greatest place as 8, 000 – 500 = 7, 500.
(iii) It can be rounded off to its greatest place as 1, 00, 000 – 50, 000 = 50, 000.
(iv) It can be rounded off to its greatest place as 900 × 800 = 7, 20, 000.
(v) It can be rounded off to its greatest place as 10 × 800 = 8, 000.
(vi) It can be rounded off to its greatest place as 90 × 300 = 27, 000.

Q4: Find the estimated quotient for each of the following by rounding off each number to its greatest place:
(i) 878 ÷ 28
(ii) 745 ÷ 24
(iii) 4489 ÷ 394
Ans:
(i) It can be rounded off to its greatest place as 900 ÷ 30 = 30.
(ii) It can be rounded off to its greatest place as 700 ÷ 20 = 35.
(iii) It can be rounded off to its greatest place as 4000 ÷ 400 = 10.

The document RD Sharma Solutions Class 6 Maths Knowing Our Numbers - Exercise 1.7 is a part of the Class 6 Course Mathematics for Class 6.
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FAQs on RD Sharma Solutions Class 6 Maths Knowing Our Numbers - Exercise 1.7

1. What are the different types of numbers discussed in the exercise?
Ans. The exercise discusses natural numbers, whole numbers, integers, rational numbers, and irrational numbers.
2. How are numbers classified based on their properties?
Ans. Numbers are classified based on their properties into different categories such as prime numbers, composite numbers, even numbers, odd numbers, etc.
3. Can you explain the concept of irrational numbers in detail?
Ans. Irrational numbers are numbers that cannot be expressed as a simple fraction or ratio of two integers. They are non-terminating and non-repeating decimals.
4. How are integers different from whole numbers?
Ans. Integers include all whole numbers as well as their negative counterparts, while whole numbers only include positive integers starting from zero.
5. Why is it important to understand the classification of numbers in mathematics?
Ans. Understanding the classification of numbers helps in solving mathematical problems, making calculations more efficient, and having a better grasp of the number system as a whole.
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