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RS Aggarwal Solutions: Number System (Exercise 1F)

Solution 1:
87 ÷ 28
87 is estimated to the nearest ten = 90
28 is estimated to the nearest ten = 30
∴ 90 ÷ 30 = 3

Solution 2:
83 ÷ 17
83 is estimated to the nearest ten = 80
17 is estimated to the nearest ten = 20
∴ 80 ÷ 20 = 4

Solution 3:
75 ÷ 23
75 is estimated to the nearest ten = 80
23 is estimated to the nearest ten = 20
∴ 80 ÷ 20 = 4

Solution 4:
193 ÷ 24
193 is estimated to the nearest ten = 190
24 is estimated to the nearest ten = 20
∴ 190 ÷ 20 = 9.5
Estimated quotient is 10

Solution 5:
725 ÷ 23
725 is estimated to the nearest hundred = 700
23 is estimated to the nearest ten = 20
∴ 700 ÷ 20 = 35

Solution 6:
275 ÷ 25
275 is estimated to the nearest hundred = 300
25 is estimated to the nearest ten = 30
∴ 300 ÷ 30 = 10

Solution 7:
633 ÷ 33
633 is estimated to the nearest hundred = 600
33 is estimated to the nearest ten = 30
∴ 600 ÷ 30 = 20

Solution 8:
729 ÷ 29
729 is estimated to the nearest hundred = 700
29 is estimated to the nearest ten = 30
∴ 700 ÷ 30
= 70 ÷ 3
= 23 (approximately)

Solution 9:
858 ÷ 39
858 is estimated to the nearest hundred = 900
39 is estimated to the nearest ten = 40
∴ 900 ÷ 40
= 90 ÷ 4
= 23 (approximately)

Solution 10:
868 ÷ 38
868 is estimated to the nearest hundred = 900 
38 is estimated to the nearest ten = 40
∴ 900 ÷ 40
= 90 ÷ 4
= 23 (approximately)

The document RS Aggarwal Solutions: Number System (Exercise 1F) is a part of the Class 6 Course Mathematics for Class 6.
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FAQs on RS Aggarwal Solutions: Number System (Exercise 1F)

1. What is the number system?
Ans. The number system is a way of classifying numbers into different categories based on their properties. It includes various types of numbers such as natural numbers, whole numbers, integers, rational numbers, and irrational numbers. Each type has distinct characteristics and uses in mathematics.
2. What are natural numbers?
Ans. Natural numbers are the set of positive whole numbers that start from 1 and go on infinitely. They are used for counting and ordering. The set of natural numbers can be represented as {1, 2, 3, 4, ...}. Sometimes, the number 0 is included, leading to the definition of whole numbers.
3. How do whole numbers differ from natural numbers?
Ans. Whole numbers include all natural numbers along with the number 0. Therefore, the set of whole numbers can be represented as {0, 1, 2, 3, 4, ...}. The primary difference is the inclusion of 0 in whole numbers, which is not considered a natural number.
4. What are integers?
Ans. Integers are a set of numbers that include all whole numbers, both positive and negative, as well as zero. The set of integers can be represented as {..., -3, -2, -1, 0, 1, 2, 3, ...}. They are useful for representing quantities that can be above or below a certain point.
5. Can you explain rational and irrational numbers?
Ans. Rational numbers are numbers that can be expressed as a fraction of two integers, where the denominator is not zero. Examples include 1/2, -3, and 0.5. Irrational numbers, on the other hand, cannot be expressed as simple fractions. They have non-repeating, non-terminating decimal expansions, such as √2 and π.
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