Crystal said she used the distributive property to evaluate 5(4 + 7). These are the steps she took:

5(4 + 7) = 5⋅4 + 7 = 20 + 7 = 27
What mistake did Crystal make? What is the correct answer to 5(4 + 7)?
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Answer:

Crystal's mistake was that she distributed the 5 only to the 4, not to the 7 as well.

The correct step should have been 5(4 + 7) = 5⋅4 + 5⋅7.  

Using the distributive property correctly would give the sum of the two products, 20 + 35. The value of 5(4 + 7) is 55.

The value of 5(4 + 7) is 55.

It is required to find the correct answer.

What is simplification?

Simplification means simplifying processes involved in work towards consistency of efforts, costs and time. It eliminates useless and disadvantageous (or unnecessary) diversity and variety.

Given that:

By the Distributive Property

If a, b, c are real numbers, then

a*(b+c)=a*b+a*c

Crystal's did mistake was that she distributed the 5 only to the 4, not to the 5 to 7 as well.

First distribute and then multiply, we get

The correct step should have been

= 5(4 + 7)

= 5⋅4 + 5⋅7.  

= 20 + 35.

= 55

Therefore, the value of 5(4 + 7) is 55.

Learn more about simplification here:

https://brainly.com/question/18612758

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