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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