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How do you evaluate #1[ 8- 4( 4- 5) ]#?

Answer 1

Aurora Arias

See a solution process below:

Start by carrying out the action inside the parenthesis:

#1[8 - 4(color(red)(4) - color(red)(5))] => 1[8 - 4(-1)]#

The Multiplication inside the brackets should then be performed:

#1[8 - color(red)(4)(color(red)(-1))] => 1[8 - (color(red)(-4))] => 1[8 + 4]#

Next, carry out the Addition enclosed in brackets:

#1[color(red)(8) + color(red)(4)] => 1[12]#

Perform the final Multiplication operation now:

#1[12] => 12#

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Answer 2

Zoe Adams

To evaluate the expression 1[8 - 4(4 - 5)], you follow the order of operations, which is parentheses, exponents, multiplication and division (from left to right), and addition and subtraction (from left to right).

First, solve the expression inside the inner parentheses: 4 - 5 = -1.

Then, evaluate the expression inside the square brackets: 8 - 4 * (-1).

Perform the multiplication: 4 * (-1) = -4.

Now, subtract: 8 - (-4) = 8 + 4 = 12.

Finally, multiply by 1: 1 * 12 = 12.

So, the result of the expression 1[8 - 4(4 - 5)] is 12.

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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.