Evaluate the expression (-12) × 8 + (-12) × 2 using a suitable property.

Evaluate the expression $(- 12) \times 8 + (- 12) \times 2$ using a suitable property.

easy MCQ 1 mark Class 7 · Mathematics · Integers

Answer

- 120

The correct answer is $- 120$ — Multiply $- 12$ by $10$ : $(- 12) \times 10 = - 120$ .

Identify the given expression: $(- 12) \times 8 + (- 12) \times 2$ .
Apply the distributive property of multiplication over addition: $a \times b + a \times c = a \times (b + c)$ , where $a = - 12$ , $b = 8$ , and $c = 2$ .
Rewrite the expression as $(- 12) \times (8 + 2)$ .
Add the numbers inside the brackets: $8 + 2 = 10$ .
Multiply $- 12$ by $10$ : $(- 12) \times 10 = - 120$ .

Common mistake: Students might forget the negative sign in the final product and write

120

instead of

- 120

Concept tested: Distributive property of multiplication over addition for integers