Question

 Simplify: (4 – 5) – (13 – 18 + 2).

Answer 1

$<u>Solution$

Answer 2

The simplified form of the expression is 2.

Given:

The expression: (4 - 5) - (13 - 18 + 2)

To find:

Simplified term

Solution:

We are given the expression,

(4 - 5) - (13 - 18 + 2)

= -1 - (13 - 18 + 2) [∵ 4 - 5 = -1]

= -1 - 13 + 18 - 2 [∵ When the sign outside the bracket is minus, the signs inside the bracket get reversed]

= -1 - 13 - 2 + 18 [commutative property]

= (-1)(1) + (-1)(13) + (-1)(2) + 18

= -1(1 + 13 + 2) + 18 [reverse of distributive property]

= -16 + 18

= 2

∴ The simplified form of the expression is 2.

SPJ2