RS Aggarwal Class 6 Math Fourth Chapter Integers Exercise 4C Solution

RS Aggarwal Class 6 Math Fourth Chapter Integers Exercise 4C Solution

EXERCISE 4C

(1) Subtract:

(i) 18 from -34

= -34 – 18

= – 52

(ii) – 15 from 225

= 25 – (-15)

= 25 + 15

= 40

(iii) – 28 from – 43

= – 43 – (- 28)

= – 43 + 28

= – 15

(iv) 68 from -37

= -37 – 68

= – 105

(v) 219 from 0

= 0 – 219

= – 219

(vi) – 92 from 0

= 0 – (- 92)

= 0 +92

= 92

(vii) – 135 from – 250

= – 250 – (-135)

= – 250 + 135

= – 115

(viii) – 2768 from – 287

= – 287 – (-2768)

= -287 + 2768

= 2481

(ix) 6240 from – 271

= – 271 – 6240

= – 6511

(x) – 3012 from 6250

= 6250 – (- 3012)

= 6250 + 3012

= 9262

(2) Subtract the sum of -1050 and 813 from – 23.

= – 23 – (- 1050 + 813)

= 1050 – (23 + 813)

= 1050 – 836

= 214

(3) Subtract the sum of – 250 and 138 from the sum of 136 and -2720

= (- 2720 + 136) – (-250 + 138)

= -2750 + 136 + 250 – 138

= (136+ 250) – (2750+138)

= 386 – 2888

= – 2502

(4) From the sum of 33 and -47, subtract – 84.

= [ 33 + (-47)] – (- 84)

= 33 -47 + 84

= (33+84) – 47

= 117 – 47

= 70

(5) Add – 36 to the difference of -8 and -68.

= – 8 – (-68) + (- 36)

= – 8 + 68 -36

= 68 – (8+36)

= 68 – 44

= 24

(6) Simplify:

(i) [37 – (-81)] + [11 – (- 30)]

= (37 + 81) + (11 + 30)

= 118 + 41

= 159

(ii) [- 13 – (-17) ] + [ -22 – (-40)]

= – 13 + 17 – 22 + 40

= (40+17) – ( 13+22)

= 57 – 35

= 22

(7) Find 34 – ( -72) and (

–

72) – 34. Are they equal?

34 – (-72)= (-72) – 34

L. H. S,

34 – (- 72)

= 34 +72

= 106

R. H. S,

(- 72) – 34

= – 106

So, it is not equal.

(8) The sum of two integers is – 13. If one of the numbers is 170, find the other.

Solution: Let the other number be m. Then,

170 + m= (- 13)

Or, m= – 13 – 170

Or, m= – 183

So, the other number of the integers is (- 183).

(9) The sum of two integers is 65. If one of the integers is -47, find the other.

Solution: Let the other number be m. Then,

(- 47) + m= 65

Or, m = 65 – (- 47)

Or, m = 65 + 47

Or, m = 112

So, The other number is 112.

(10) Which of the following statements are true and which are false?

(i) The sum of two integers is always an integer.

Ans: True

(ii) The difference of two integers is always an integer?

Ans: True

(iii) – 14 > – 8 – ( -7)

Ans: False

(iv) – 5 – 2 > – 8

Ans: True

(v) (-7) – 3 = (- 3) – (- 7)

Ans: False

(11) The point A is on a mountain which is 5700 meters above sea level and the point B is in a mine which is 39600 meters below sea level. Find the vertical distance between A and B.

Solution: 5700 + 39600

= 45300

So, the vertical distance between A and B is 45300 metres.

(12) On a day Srinagar, the temperature at 6 p.m. was 1^oC but at midnight that day, it dropped to – 4^oC. By how many degrees Celsius did the temperature fall?

Solution: 1 – (- 4)

= 1 +4

=5

So, the temperature fall 5^oC.