CLASS 6 INTEGAR

 

Integers Questions with Solutions

Practice these questions on integers to improve your understanding, skill and speed of solving questions.

Question 1: Evaluate the following:

(i) 22 – ( –87)

(ii) 198 + ( –12)

(iii) –16.87 – 30

(iv) – 19 + 34 – 34

Solution:

(i) 22 – ( –87) = 22 + 87 = 109

(ii) 198 + ( –12) = 198 – 12 = 186

(iii) –16.87 – 30 = – (16.87 + 30) = – 46.87

(iv) – 19 + 34 – 34 = –19 + 0 = –19

Question 2: Find the additive inverse of the following:

(i) 23

(ii) 108

(iii) 476

(iv) –39

Solution:

(i) 23

Additive inverse of 23 is –23 such that;

23 + (–23) = 0 = (–23) + 23

(ii) 108

Additive inverse of 108 is –108 such that;

108 + (–108) = 0 = (–108) + 108

(iii) 476

Additive inverse of 476 is –476 such that;

476 + (–476) = 0 = (–476) + 476

(iv) –39

Additive inverse of –39 is –(–39) = 39 such that;

–39 + 39 = 0 = 39 + (–39)

Question 3: Verify a + (b + c) = (a + b) + c for the following:

(i) a = 2, b = 0, c = –9

(ii) a = 34, b = 90, c = –1

Solution:

(i) a = 2, b = 0, c = –9

L.H.S = a + (b + c) = 2 + (0 + 9)

= 2 + 9 = 11

R.H.S = (a + b) + c = (2 + 0) + 9

= 2 + 9 = 11

∴ L.H.S = R.H.S

(ii) a = 34, b = 90, c = –1

L.H.S = a + (b + c) = 34 + {90 + (–1)}

34 + {90 – 1}

= 34 + 89 = 123

R.H.S = (a + b) + c = (34 + 90) + (–1)

= 124 + (–1)

= 124 – 1 = 123

∴ L.H.S = R.H.S