Question

1. select all the expressions that could be used to find 327 × 9. 327 + 9 9 × 327 9 × (300 + 20 + 7) (9 × 300) + (9 × 20) + (9 × 7) 9 + (300 + 20 + 7)

Explanation:

Step1: Recall multiplication - commutative property

The commutative property of multiplication states that \(a\times b=b\times a\). So \(327\times9 = 9\times327\).

Step2: Recall distributive property

We can break 327 into \(300 + 20+7\). Then, by the distributive property \(a\times(b + c + d)=a\times b+a\times c+a\times d\). So \(9\times327=9\times(300 + 20 + 7)=(9\times300)+(9\times20)+(9\times7)\).

Step3: Analyze addition - related expressions

\(327 + 9\) and \(9+(300 + 20 + 7)\) are addition - based and not equivalent to \(327\times9\).

Answer:

9 × 327, 9 × (300 + 20 + 7), (9 × 300) + (9 × 20) + (9 × 7)