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How do you evaluate #-5( ( - 2) \cdot ( - 8) - 15) - 2#?

Answer 1

Savannah Anderson

#-7#

This is really a test of being very careful with your order of operations.

Will begin with what's inside the parenthesis:

#-5color(red)(((-2)*(-8)-15))-2#

Remove the parenthesis around #-2# and #-8#

#-5color(red)((-2*-8-15))-2#

Following our order of operations we multiply first and then subtract. So...

#-5color(red)((16-15))-2#

#-5(1)-2#

Again, following our operations, we'll multiply #-5# and #-31# and then subtract #2#:

#-5-2#

#-7#

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Answer 2

Isaiah Anthony

To evaluate the expression -5((-2) * (-8) - 15) - 2:

Calculate the expression inside the innermost parentheses: (-2) * (-8) = 16.
Substitute the result back into the expression: -5(16 - 15) - 2.
Simplify inside the parentheses: 16 - 15 = 1.
Substitute the simplified expression back into the expression: -5(1) - 2.
Simplify the expression within the outer parentheses: -5(1) = -5.
Finally, subtract 2 from the result: -5 - 2 = -7.

So, the value of the expression is -7.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.