Which equation correctly applies the distributive property?

−1.5⋅(6⋅1.25)=(−1.5⋅6)⋅1.25

(0.7⋅0.7)+(0.7⋅0.9)+(0.7⋅0.2)=0.7⋅(0.7+0.9+0.2)

70+2.028=(70⋅2)+(70⋅0.02)+(70⋅0.008)

−2.5⋅0.6⋅5.8=−2.5⋅5.8⋅0.6

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paperobjectstun paperobjectstun · Answer 1 · 2018-10-04T10:40:25-04:00

It's A. But yeah have a good day!

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facundo3141592 facundo3141592 · Answer 2 · 2021-10-12T07:41:59-04:00

We want to see which of the given equation applies correctly the distributive property.

The correct option is the second one:

0.70.7 + 0.70.9 + 0.70.2 = 0.7(0.7+0.9+0.2)

The first thing we need to do is define the distributive property.

For 3 values A, B, and C, the distributive property says that:

A(B + C) = AB + AC

Notice that it can also be used in the inverse order, for example in:

AB + AC + AD

You can see that the factor "A" appears in the 3 terms, then "A" is the common factor, and we can write:

AB + AC + AD = A(B + C + D).

Now we just need to see which one of the given options applies this.

The option that does it is the second one:

0.70.7 + 0.70.9 + 0.70.2 = 0.7(0.7+0.9+0.2)

As you can see, the factor 0.7 appears in the 3 terms, then we can use it as a common factor and use the distributive property.

Then we can conclude that the correct option is the second one.

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