Class 8 Maths worksheet on Rational Numbers, Chapter 1, with exercises on matching number types and evaluating statements about rational numbers.

Let’s go step by step to solve both questions.

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Question 1: Match the following

We need to match each item in column (a)-(d) with the correct description in column (1)-(4).

(a) Natural numbers
Natural numbers are the counting numbers: 1, 2, 3, 4, ...
→ This matches (3) 1,2,3,4......

(b) ... -2,-1,0,...
This is a list of integers going backwards from negative numbers through zero. Integers include all whole numbers and their negatives.
→ This matches (1) Integers

(c) 1/3, 2/5, 3/7
These are fractions — any number that can be written as a fraction p/q (where q ≠ 0) is a rational number.
→ This matches (4) Rational Numbers

(d) 0,1,2,3
Whole numbers start from 0 and go up: 0, 1, 2, 3, ...
→ This matches (2) Whole Numbers

✔ So matches are:
(a) → (3)
(b) → (1)
(c) → (4)
(d) → (2)

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Question 2: True or False

Let’s evaluate each statement carefully.

(a) 0/1 is a rational number.
Yes! A rational number is any number that can be written as p/q where p and q are integers and q ≠ 0.
0/1 = 0, which fits the definition.
→ True

(b) Every rational number is an integer.
No. For example, 1/2 is rational but not an integer. Integers are whole numbers and their negatives: ..., -2, -1, 0, 1, 2, ...
→ False

(c) Every Integer is a whole number.
No. Whole numbers are 0, 1, 2, 3, ... Integers include negative numbers like -1, -2, etc., which are NOT whole numbers.
→ False

(d) A whole number is also an integer.
Yes! Whole numbers (0, 1, 2, 3...) are part of the set of integers.
→ True

(e) 0 (zero) is not rational number.
False. As we saw in (a), 0 = 0/1, so it IS rational.
→ False

(f) All whole numbers and negative of all natural numbers combine to form integers.
Natural numbers: 1, 2, 3, ...
Negative of natural numbers: -1, -2, -3, ...
Whole numbers: 0, 1, 2, 3, ...
Combine them: ..., -3, -2, -1, 0, 1, 2, 3, ... → That’s exactly the set of integers.
→ True

(g) Every natural number is a rational number.
Yes! Any natural number n can be written as n/1 → which is rational.
→ True

✔ Final answers for Q2:
(a) True
(b) False
(c) False
(d) True
(e) False
(f) True
(g) True

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Final Answer:
1. (a)-(3), (b)-(1), (c)-(4), (d)-(2)
2. (a) True, (b) False, (c) False, (d) True, (e) False, (f) True, (g) True