Juan used the expression 16 - 9 - 12 + 22 to find his profit for days 2 and 3. He rewrote the expression as 16 + (-9) + (-12) + 22. Juan can use the associative and commutative properties to rewrite the expression again. Explain why he had to use the additive inverse before he could use these properties.

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Mathematics

15 December, 16:08

Juan used the expression 16 - 9 - 12 + 22 to find his profit for days 2 and 3. He rewrote the expression as 16 + (-9) + (-12) + 22. Juan can use the associative and commutative properties to rewrite the expression again. Explain why he had to use the additive inverse before he could use these properties.

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Danika Crosby · Answer 1

The associative and commutative properties can be applied only to problems with addition. Juan had to change the subtraction to addition by adding the additive inverse.