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)
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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