How do you use the distributive property to simplify #7(z - 4)#?

Answer 1

Nathan Axel

#7z-28#

#"each term in the bracket is multiplied by "7#

#rArrcolor(red)(7)(z-4)#

#=(color(red)(7)xxz)+(color(red)(7)xx-4)#

#=7z+(-28)=7z-28#

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Answer 2

Nathan Axel

#7z - 28#

The distributive property is when you take the number outside a set of parentheses and multiply it to all the terms inside the parenthesis.

In this case, #7# is outside the parentheses, so we multiply it to the terms inside, which would be #z# and #(-4)#.

We first multiply #7# and the #z#

#7 xx z = 7z#

Then we multiply #7# and #(-4)#

#7 xx (-4) = -28#

And our answer should be

#7z - 28#

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Answer 3

Jameson Allen

Use the distributive property to simplify 7(z - 4): 7z - 28.

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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.