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1 vote
7.

Shino typed
-4²
into a calculator and got -16. Then Shino
typed
(-4)²
into a calculator and got 16. Can you
explain to Shino why she got two
different answers?
Type a response

User JRI
by
5.7k points

1 Answer

1 vote

Answer:

order of operations

Explanation:

You want to know why -4² = -16 and (-4)² =16.

Order of operations

The calculator properly applied the order of operations to -4². In evaluating, this expression, the exponentiation operation is performed first. That means this is evaluated as ...

-4² = -(4×4) = -16

When the parentheses include the minus sign, as in the second expression, the squaring operation is applied to -4, not to 4:

(-4)² = (-4)×(-4) = 16

User Rimestad
by
5.3k points
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