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9.  Use the sign of >, < or = in the box to make the statements true.
                (a) (– 8) + (– 4)                 (–8) – (– 4)
                (b) (– 3) + 7 – (19)            15 – 8 + (– 9)
                (c) 23 – 41 + 11                23 – 41 – 11
                (d) 39 + (– 24) – (15)        36 + (– 52) – (– 36)
                (e) – 231 + 79 + 51          –399 + 159 + 81

Answers (1)

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(Note: On a number line, the number on the right is greater than a number towards its left.)

(a) (– 8) + (– 4)           (–8) – (– 4)

L.H.S = (- 8) + (- 4) = -8-4 = -12

R.H.S = (- 8) - (- 4) = -8+4 = -4

Clearly, L.H.S < R.H.S
(b) (– 3) + 7 – (19)            15 – 8 + (– 9)

L.H.S = (- 3) + 7 - (19) = 4-19 = -15

R.H.S = 15 - 8 + (- 9) = 7-9= -2

Clearly, R.H.S > L.H.S

(c) 23 – 41 + 11         23 – 41 – 11

L.H.S = 23 - 41 + 11 = -18+11= -7

R.H.S = 23 - 41 - 11 = -18-11= -29

Clearly, L.H.S > R.H.S

(d) 39 + (– 24) – (15)        36 + (– 52) – (– 36)

L.H.S = 39 + (- 24) - (15) = 39-24-15 = 15-15 = 0

R.H.S = 36 + (- 52) - (- 36) = 36-52+36 = -16+36 = 20

Clearly, L.H.S < R.H.S

(e) – 231 + 79 + 51       –399 + 159 + 81

L.H.S = - 231 + 79 + 51 = -152+51 =-101

R.H.S = -399 + 159 + 81=-240+81 = -159

Clearly, L.H.S > R.H.S

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HARSH KANKARIA

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