## ML Aggarwal Class 6 Solutions for ICSE Maths Chapter 3 Integers Ex 3.3

Question 1.

Evaluate the following, using the number line:

(i) 4 – (-2)

(ii) -4 – (-2)

(iii) 3 – 6

(iv) -3 – (-5)

Solution:

(i) Start from 4 on the number line.

Move 2 units to the digits we reach at 6

∴ 4 – (-2) = 4 + 2 = 6

(ii) Start from -4 on the number line.

Move 2 units to the right, we reach at -2

∴ -4 – (-2) = —4 + 2 = -2

(iii) Start from 3 on the number line.

Move 6 units to the left, we reach at -3

3 – 6 = -3

(iv) Start from -3 on the number line.

Move 5 units to the right, we reach at 2

-3 – (-5) = -3 + 5 = 2

Question 2.

Subtract :

(i) -6 from 9

(ii) 6 from -9

(iii) -6 from -9

(iv) -725 from -63

(v) -376 from 10

(vi) 92 from -620

Solution:

(i) 9 – (-6) = 9 + 6 = 15

(ii) -9 – 6 = -15

(iii) -9 – (-6) = -9 + 6 = -3

(iv) -63 – (-725) = -63 + 725 = +662

(v) 10 – (-376) = 10 + 376 = 386

(vi) -620 – 92 = -712

Question 3.

Evaluate the following:

(i) -237 – (+ 1884)

(ii) -346 – (- 1275)

(iii) -190 – (-3512)

(iv) -2718 – (+ 6827)

Solution:

(i) -237 – (+ 1884)

= -237 – 1884

= -(237 + 1884) = -2121

(ii) -346 -(- 1275)

= -346 + 1275

= 1275 – 346 = 929

(iii) -190 – (-3512)

= -190 + 3512

= 3512- 190 = 3322

(iv) 2718 – (+ 6827)

= -2718 – 6827

= -(2718 + 6827) = -9545

Question 4.

The sum of two integers is 17. If one of them is -35, find the other.

Solution:

One number = -35

Sum of two integers =17

Second number = Sum of integers – (The given number)

= 17 – (-35)

= 17 + 35 = 52

Question 5.

What must be added to -23 to get -9?

Solution:

Let the number to be added = x

∴ -23 + x = -9

∴ The required number = -9 – (-23)

= -9 + 23 = 14

Question 6.

Find the predecessor of 0.

Solution:

Predecessor of 0 = 0 – 1 = -1

Question 7.

Find the successor and the predecessor of the following integers:

(i) -31

(ii) -735

(iii) -240

Solution:

(i) Successor of -31 = -31 + 1 = -30

Predecessor of -31 = -31 – 1 = -32

(ii) Successor of -735 = -735 + 1 = -734

Predecessor of-735 = -735 – 1 = -736

(iii) Successor of -240 = -240 + 1 = -239

Predecessor of -240 = -240 – 1 = -241