2. Remove the brackets and write the expression having the same value. (a) (b) (c) (d) (e) (f)

Question

Homi · Accepted Answer

We will remove the brackets by carefully changing signs when a minus sign is in front.

Step 1 — Simplify the first expression

We look at the sign before the bracket. It is a plus sign. So, the signs of the numbers inside the bracket stay the same.

$14 + (12 + 10)$

$= 14 + 12 + 10$

$= 26 + 10$

$\boxed{36}$

Diagram 1

Step 2 — Simplify the second expression

We look at the sign before the bracket. It is a minus sign. So, the signs of the numbers inside the bracket will change.

$14 - (12 + 10)$

$= 14 - 12 - 10$

$= 2 - 10$

$\boxed{-8}$

Step 3 — Simplify the third expression

We look at the sign before the bracket. It is a plus sign. So, the signs of the numbers inside the bracket stay the same.

$14 + (12 - 10)$

$= 14 + 12 - 10$

$= 26 - 10$

$\boxed{16}$

Step 4 — Simplify the fourth expression

We look at the sign before the bracket. It is a minus sign. So, the signs of the numbers inside the bracket will change.

$14 - (12 - 10)$

$= 14 - 12 + 10$

$= 2 + 10$

$\boxed{12}$

Step 5 — Simplify the fifth expression

We look at the sign before the bracket. It is a plus sign. So, the signs of the numbers inside the bracket stay the same.

$-14 + (12 - 10)$

$= -14 + 12 - 10$

$= -2 - 10$

$\boxed{-12}$

Step 6 — Simplify the sixth expression

We look at the sign before the bracket. It is a minus sign. So, the signs of the numbers inside the bracket will change.

$14 - (-12 - 10)$

$= 14 + 12 + 10$

$= 26 + 10$

$\boxed{36}$

(a) 36 (b) -8 (c) 16 (d) 12 (e) -12 (f) 36

Question 2