Question

Match the following to their simplified values.

• A. -9
• B. -1
• C. 1
• D. 9

Answer 1

i) (-4) + (6) + (-1)

Here, first we group according to positive and negative signs.
$\Rightarrow$ (-4) + (-1) + (6)
= -4 - 1 + 6
= -5 + 6
= -5 + 5 + 1 = 1 [6=5+1]

Thus, (-4) + (6) + (-1) = 1.

ii) (- 4) - (6) - (-1)
= -4 - 6 + 1
= -10 + 1
= -9 - 1 + 1
= -9
Thus, (- 4) - (6) - (-1) = -9

iii) (7) + (-4) - (4)
= 7 - 4 - 4
= 7 - 8
= 7 - (7 + 1)
= 7 - 7 - 1 = -1
Thus, (7) + (-4) - (4) = -1

iv) (6) - (-1) + (2)
= 6 + 1 + 2
= 7 + 2 = 9
Thus, (6) - (-1) + (2) = 9