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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​

Respuesta :

frika

Answer:

C

Step-by-step explanation:

The distributive property says that

[tex]a\cdot (b+c)=a\cdot b+a\cdot c[/tex]

Consider option C. In this option,

[tex](0.7\cdot 0.7)+(0.7\cdot 0.9)+(0.7\cdot 0.2)=0.7\cdot (0.7+0.9+0.2)[/tex]

The left part consists of three products

[tex](0.7\cdot 0.7)\\ (0.7\cdot 0.9)\\ (0.7\cdot 0.2)[/tex]

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

[tex]0.7\cdot (0.7+0.9+0.2)[/tex]

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

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