##### 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

(a) We have,

(-8) + (-4)

= -8 – 4

= - 12

Also,

(-8) – (-4)

= - 8 + 4

= - 4

Hence,

-12 < - 4

(-8) + (-4) < (-8) - (-4)

(b) We have,

(-3) + 7 – (19)

= - 3 + 7 – 19

= - 22 + 7

= - 15

Also,

15 – 8 + (-9)

= 15 – 8 – 9

= - 2

Hence,

- 15 < - 2

(-3) + 7 – (19) < 15 – 8 + (-9)

(c) We have,

23 - 41 + 11

= - 7

Also,

23 – 41 – 11

= 23 – 52

= - 29

Hence,

- 7 > - 29

23 – 41 + 11 > 23 – 41 – 11

(d) We have,

39 + (-24) – (15)

= 39 – 24 - 15

= 39 – 39

= 0

Also,

36 + (-52) – (- 36)

= 36 – 52 + 36

= 72 – 52

= 20

Hence,

0 < 20

39 + (-24) – (15) < 36 + (-52) – (-36)

(e) We have,

- 231 + 79 + 51

= - 231 + 130

= - 101

Also,

- 399 + 159 + 81

= - 399 + 240

= - 159

Hence,

- 101 > - 159

– 231 + 79 + 51 > – 399 + 159 + 81

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