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.

Verified Answer :

Hagrid

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)

645 = 6  (45) = 6  (40 + 5) = 6  40 + 6 * 5

The required expression is \(6\cdot 40+6\cdot 5\). So, option C is correct.

Given:

The given expression is \(6\cdot 45\).

To find:

The equivalent expression by using the distributive property.

Explanation:

According to the distributive property:

\(a(b+c)=ab+ac\)

We have,

\(6\cdot 45\)

It can be rewritten as:

\(6\cdot 45=6\cdot (40+5)\)

Using the distributive property, we get

\(6\cdot 45=6\cdot 40+6\cdot 5\)

Therefore, the required expression is \(6\cdot 40+6\cdot 5\) and the correct option is C.

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