Worksheet Question & Answers: Integers Notes | Study Mathematics (Maths) Class 6 - Class 6

Q.1. Write 'True' or 'False' for the following :
(i) –20° C represent temperature "above 20°C"
(ii) 8 > (–10)
(iii) | – 2 | = 2
(iv) | – 4 – 2 | = – 6 (v) (–3) > (–5) 

Ans.
(i) False
(ii) True
(iii) True
(iv) False
(v) True

Q.2. Fill up the blanks :
(i) Integer which is neither positive nor negative is ____________
(ii) Predecessor of (–99) is ____________
(iii) | -26-14 | = ____________
(iv) Successor of (–100) is ____________
(v) Largest 3-digit negative integer is ____________ 

Ans.
(i) 0
(ii) –100
(iii) 40
(iv) –99
(v) –100

Q.3. Subtract (–25) from the sum of 15 and 35.
Ans. 75

Q.4. Add the sum of (–2063) and 562 to (–2063).
Ans. –3564

Q.5. Simplify :
(i) (–50) + (–200) – (–500)
(ii) 23 – (–15) + 12
(iii) (24 + 6) ÷ (–3)
(iv) 19 + {10 ÷ (7 – 9)}
(v) 12 – {16 – (6 + 2 – 6 ÷ 3)} 

Ans.
(i) 250
(ii) 50
(iii) (–10)
(iv) 14
(v) 2

Q.6. Write additive inverse of :
(i) (–6347)
(ii) 0
(iii) 4231
(iv) 2132 – 132
(v) –10 – 5

Ans.
(i) 6347
(ii) 0
(iii) –4231
(iv) –2000
(v) 15

Q.7.

Observe the number line given above and answer the following :
(i) What is the position of Reeta on the number line?
(ii) What is the position of Seema?
(iii) What is the distance between Reeta and Seema?

Ans.
(i) Position of Reeta = –3
(ii) Position of Seema = 5
(iii) Distance between them = 8 units

Q.8. Represent the following numbers/expressions on a number line?
(i) –7
(ii) + 9
(iii) 7 – 2
(iv) – 5–4
(v) 4 – 9 

Ans. 

(i)

(ii)

(iii)

(iv)

(v)

Q.9. Enter the correct sysmbol >, =, < in the following :
(i) (–7) _________  (2)
(ii) 7 _________  (–12)
(iii) 0 _________  (–2)
(iv) (–16) _________  (9 + 7)
(v) – (10 + 5) _________  (–15) 

Ans.
(i) <
(ii) >
(iii) >
(iv) <
(v) =

Q.10. Find the values of 'a' when :
(i) a + 10 = – 18
(ii) a – 3 = 7
(iii) –13a = 91
(iv) a ÷ 5 = 3

Ans.
(i) –28
(ii) 10
(iii) –7
(iv) 15