Match each equation on the left to the mathematical property it uses on the right. (1 + 5) + 2 = 2 + (1 + 5) 5(2x + 3) = 10x + 15 (2 ? x) ? 7 = 2 ? (x ? 7) (3 ? x ? 4) = (3 ? 4 ? x) (4 + 2) + 6 = 4 + (2 + 6) commutative property of addition commutative property of multiplication associative property of addition associative property of multiplication distributive property
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(1 + 5) + 2 = 2 + (1 + 5) - This equation shows that changing the order of numbers being added does not affect the sum. This is an example of the commutative property of addition. Show moreā¦
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Use the commutative and/or associative laws to show why the expression on the left is equivalent to the expression on the right. Write a series of steps with labels, as in Example 4 $(5+x)+2$ is equivalent to $x+7$
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Select the property that allows the left member of the equation to be changed to the right member. If 2 = x, then x = 2 commutative - addition distributive associative - multiplication symmetric commutative - multiplication associative - addition identity - addition
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