Question

which two expressions are equivalent to \\((9 \times 2) \times 5\\)?

choose 2 answers:

a \\(9 \times (2 \times 5)\\)

b \\(9 \times 10\\)

c \\(11 \times 5\\)

Explanation:

Evaluate the original expression

$$ (9 \times 2) \times 5 = 18 \times 5 = 90 $$

Apply the associative property

$$ (9 \times 2) \times 5 = 9 \times (2 \times 5) $$

Simplify the grouped terms

$$ 9 \times (2 \times 5) = 9 \times 10 = 90 $$

Answer:

• (A) \(9 \times (2 \times 5)\) (Correct answer)
• (B) \(9 \times 10\) (Correct answer)
• (C) \(11 \times 5\)