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- 45 × 47 solve using distributive property​

User Boneill
by
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2 Answers

4 votes

Answer: -2115

Explanation:

We can use the distributive property to simplify the calculation of -45 × 47 as follows:


\huge \boxed{\begin{minipage}{4 cm}\begin{align*}-45 * 47 &= -45 * (40 + 7) \\&= (-45 * 40) + (-45 * 7) \\&= -1800 - 315 \\&= -2115\end{align*}\end{minipage}}

Refer to the attachment below for explanation

Therefore, -45 × 47 = -2115 when using the distributive property.

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- 45 × 47 solve using distributive property​-example-1
User Alannah
by
8.1k points
2 votes

SOLUTION:

To solve this problem using the distributive property, we can break down -45 into -40 and -5. Then we can distribute each of these terms to 47 and add the products:


\begin{aligned}-45 * 47 &= (-40 - 5) * 47 \\ &= (-40 * 47) + (-5 * 47) \\ &= -1{,}880 - 235 \\ &= \boxed{-2{,}115}\end{aligned}


\blue{\overline{\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad}}

User MyStream
by
7.9k points

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