Question

I need help solving this :/

Answer 1

The equivalents are ...

• A. 10 · (4 + 3)
• B. 10 · 3 + 10 · 4
• C. (3 + 4) · 10

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The expression in D evaluates to 30+4 = 34, not 10·7 = 70.

In A, (4 + 3) is equivalent to (3 + 4) by the commutative property of addition. The commutative properties of multiplication and addition allow you to swap the order of the operands with no effect on the result.

In B, 10·3 +10·4 is equivalent to 10·(3+4) by the distributive property of multiplication over addition.

In C, (3+4)·10 is equivalent to 10·(3+4) by the commutative property of multiplication.