Which expression shows how 6 • 45 can be rewritten using the distributive property?. A. 6 • 40 + 6. B. 6 • 4 + 6 • 5. C. 6 • 40 + 6 • 5. D. 20 • 6 + 20 • 5.

The correct answer to this question is letter "C. 6 • 40 + 6 • 5." The expression that shows how 6 • 45 can be rewritten using the distributive property is 6 * 40 + 6 * 5

6 * 45 = 6 * (40 + 5)

6*45 = 6 * (45) = 6 * (40 + 5) = 6 * 40 + 6 * 5

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erinna erinna · Answer 2 · 2021-10-28T11:32:52+02:00

The required expression is [tex]6\cdot 40+6\cdot 5[/tex]. So, option C is correct.

Given:

The given expression is [tex]6\cdot 45[/tex].

To find:

The equivalent expression by using the distributive property.

Explanation:

According to the distributive property:

[tex]a(b+c)=ab+ac[/tex]

We have,

[tex]6\cdot 45[/tex]

It can be rewritten as:

[tex]6\cdot 45=6\cdot (40+5)[/tex]

Using the distributive property, we get

[tex]6\cdot 45=6\cdot 40+6\cdot 5[/tex]

Therefore, the required expression is [tex]6\cdot 40+6\cdot 5[/tex] and the correct option is C.

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