How do you evaluate #-7- 3( 4- 2\times 8)#?

Answer 1

Luna Angel

#29#

#-7-3(4 - 2 xx 8)#

#-7-3(4-16)#

#-7-3(-12)#

#-7+36#

#29#

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Answer 2

Luna Angel

To evaluate the expression ( -7 - 3(4 - 2 \times 8) ), follow the order of operations (PEMDAS/BODMAS), which stands for Parentheses/Brackets, Exponents/Orders, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right).

First, evaluate the expression inside the parentheses:

[ 4 - 2 \times 8 = 4 - 16 = -12 ]

Now substitute this result back into the original expression:

[ -7 - 3(-12) ]

Now, multiply ( -3 ) by ( -12 ):

[ -7 - (-36) ]

Simplify the expression:

[ -7 + 36 ]

Now, perform the subtraction:

[ 36 - 7 = 29 ]

So, ( -7 - 3(4 - 2 \times 8) = 29 ).

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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.