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Which of the following expressions are equivalent to this expression

Which of the following expressions are equivalent to this expression-example-1

2 Answers

5 votes

Answer:

-1[4 + (-4)]

Explanation:

So first we need to evaluate the original expression, -1(0) = 0 since this is equivalent to saying negative one times zero is zero.

Now let's look at the options.

-1[4 + (-4)] evaluates using order of operations and the distributive property to -1[0] = 0. Notice this is the same as our original expression.

-1[4 + (4)] evaluates to -1[8] = -8. Note, this is different from the original expression.

1 + [4 + (-4)] evaluates to 1 + [0] = 1. Note this is different from the original expression.

-1[-4 + (-4)] evaluate to -1[-8] = 8. Note this is different from the original expression.

So we want to choose the first option which matches the original expression.

Cheers.

User NickJ
by
4.2k points
3 votes

Answer:

-1 (4 + (-4))

Explanation:

Any number multiplied by 0 is equal to 0

in the first option given we should calculate inside the

parenthesis first then multiply which I will give result equal to 0

User Sinopec
by
5.1k points