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Some NCERT Textbook Questions
1. Which of the following pairs represent the same rational number?
–7 3 –16 20 –2 2 –3 –12
(a) and (b) and (c) and (d) and
21 9 20 –25 –3 3 5 20
8 –24 1 –1 –5 5
(e) and (f) and (g) and
–5 15 3 9 –9 –9
2. Fill in the boxes with the correct symbol out of >, < and =.
–5 2 –4 –5 –7 14 –8 –7
(a) (b) (c) (d)
7 3 5 7 8 –16 5 4
1 –1 5 –5 –7
(e) (f) (g) 0
–3 4 –11 11 6
3. Which is greater in each of the following:
2 5 –5 –4 –3 2 –1 1 2 4
(a) , (b) , (c) , (d) , (e) –3 , –3
3 2 6 3 4 –3 4 4 7 5
4. Find the product:
9 –7 3 –6 9
(a) × (b) × (–9) (c) ×
2 4 10 5 11
3 –2 3 2 3 –5
(d) × (e) × (f) ×
7 5 11 5 –5 3
5. Find the value of:
2 –3 –4 –1 3
(a) (–4) ÷ (b) ÷ 2 (c) ÷ (–3) (d) ÷
3 5 5 8 4
–2 1 –7 –2 3 –4
(e) ÷ (f) ÷ (g) ÷
13 7 12 13 13 65
Exemplar Problems
1. In the standard form of a rational number, the common factor of numerator and denominator
is always:
(a) 0 (b) 1 (c) –2 (d) 2
2. In the standard form of a rational number, the denominator is always a:
(a) 0 (b) negative integer (c) positive integer (d) 1
3. Two rational numbers are said to be equivalent or equal, if they have the same _________
form.
4. All decimal numbers are also rational numbers. (True/False)
–3
5. The rational number lies to the right of zero on the number line. (True/False)
4
6. What should be multiplied with –5 to obtain the nearest integer?
8
74