RS Aggarwal Class 6 Math Fourth Chapter Integers Exercise 4D Solution
EXERCISE 4D
(1) Multiply:
(i) 15 by 9
= 15 x 9
= 135
(ii) 18 by -7
= 18 x (-7)
= – 126
(iii) 29 by -11
= 29 x (-11)
= – 319
(iv) -18 by 13
= (-18) x 13
= – 234
(v) – 56 by 16
= (- 56) x 16
= – 896
(vi) 32 by – 21
= 32 x (- 21)
= – 672
(vii) – 57 by 0
= – 57 x 0
= 0
(viii) 0 by – 31
= 0 x (- 31)
= 0
(ix) – 12 by – 9
= (-12) x (- 9)
= 108
(x) – 746 by – 8
= ( – 746) x (- 8)
= 5968
(xi) 118 by – 7
= 118 x (- 7)
= – 826
(xii) – 238 by -143
= (- 238) x ( -143)
= 34034
(2) Find the products:
(i) (-2) x 3 x (- 4)
= – 6 x (- 4)
= 24
(ii) 2 x (- 5) x (- 6)
= 2 x 30
= 60
(iii) ( -8) x 3 x 5
= (- 8) x 15
= – 120
(iv) 8 x 7 x (- 10)
= 56 x (- 10)
= – 560
(v) (-3) x (-7) x (-6)
= (-3) x 42
= – 246
(vi) (-8) x (-3) x (-9)
= (-8) x 27
= – 216
(3) Use convenient groupings and find the values of
(i) 18 x (- 27) x 30
= 18 x (- 810)
= – 14580
(ii) (- 8) x (-63) x 9
= ( -8) x (- 567)
= 4536
(iii) ( -17) x (- 23) x 41
= (-17) x (- 943)
= 16031
(iv) (- 51) x (- 47) x (- 19)
= (- 51) x 893
= – 45543
(4) Verify the following:
(i) 18 x [9 + (- 7)]= 18 x 9 + 18 x (-7)
L. H. S
18 x [9 + (- 7)]
= 18 x 2
= 36
R. H. S
18 x 9 + 18 x (-7)
= 162 + (- 126)
= 36
So, L. H. S= R. H. S (Proved)
(ii) (- 13) x [(- 6) + (- 19)] = (- 13) x (- 6) + (- 13) x (- 19)
L. H. S
(- 13) x [(- 6) + (- 19)]
= (- 13) x [ – 6 – 19]
= (- 13) x (- 25)
= 325
R. H. S
(- 13) x (- 6) + (- 13) x (- 19)
= 78 + 247
= 325
L. H. S = R. H. S (Proved)
(5) Complete the following multiplication table:
| x | -3 | -2 | -1 | 0 | 1 | 2 | 3 |
| -3 | +9 | +6 | +3 | 0 | -3 | -6 | -9 |
| -2 | +6 | +4 | +2 | 0 | -2 | -4 | -6 |
| -1 | +3 | +2 | +1 | 0 | -1 | -2 | -3 |
| 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| 1 | -3 | -2 | -1 | 0 | 1 | 2 | 3 |
| 2 | -6 | -4 | -2 | 0 | 2 | 4 | 6 |
| 3 | -9 | -6 | -3 | 0 | 3 | 6 | 9 |
(6) Which of the following statements are true and which are false?
(i) The product of a positive integer and a negative integer is negative.
Ans: True
(ii) The product of two negative integers is a negative integer.
Ans: False
(iii) The product of three negative integers is a negative integer.
Ans: True
(iv) Every integer when multiplied with – 1 gives its multiplicative inverse.
Ans: False
(7) Simplify:
(i) (-9) x 6 + (-9) x 4
= (- 54) + (- 36)
= – 54 – 36
= – 90
(ii) 8 x (- 12) + 7 x (-12)
= (- 96) + ( – 84)
= – 96 – 84
= – 180
(iii) 30 x (-22) + 30 x (14)
= (- 660) + 420
= – 240
(iv) (- 15) x (- 14) + (- 15) x (- 6)
= 210 + 90
= 300
(v) 43 x (- 33) + 43 x (- 17)
= (- 1419) + (- 731)
= – 1419 – 731
= – 2150
(vi) (-36) x (72) + (- 36) x 28
= (- 2592) + (- 1008)
= – 2592 – 1008
= – 3600
(vii) (- 27) x (- 16) + (- 27) x (- 14)
= 432 + 378
= 810
Leave a Reply