Question

HELP ASAP

Which equation correctly applies the distributive property? ​ A70+2.028=(70⋅2)+(70⋅0.02)+(70⋅0.008) ​ ​B −1.5⋅(6⋅1.25)=(−1.5⋅6)⋅1.25 ​ ​ C(0.7⋅0.7)+(0.7⋅0.9)+(0.7⋅0.2)=0.7⋅(0.7+0.9+0.2) ​ ​D−2.5⋅0.6⋅5.8=−2.5⋅5.8⋅0.6​

Answer 1

C

Explanation:

The distributive property says that

`a\cdot (b+c)=a\cdot b+a\cdot c`

Consider option C. In this option,

`(0.7\cdot 0.7)+(0.7\cdot 0.9)+(0.7\cdot 0.2)=0.7\cdot (0.7+0.9+0.2)`

The left part consists of three products

`(0.7\cdot 0.7)\\ (0.7\cdot 0.9)\\ (0.7\cdot 0.2)`

Each of these products has the factor
`0.7.` Usig the distributive property, we can write this factor before the brackets and all remaining factors write as the sum in the brackets:

`0.7\cdot (0.7+0.9+0.2)`

This is exactly the right part of equality from option C.