Question

Tim simplified the difference 1/2p-(1/4p-4) as 3/4p-4. Did he find the correct difference? Explain.

Answer 1

Answer:

TIM'S ANSWER IS WRONG.

The correct simplification is $=\frac{p}{4}+4$.

Step-by-step explanation:

Given the difference expression

$\frac{1}{2}p-\left(\frac{1}{4}p-4\right)$

Tim's answer : $\frac{3}{4}p-4$

TIM'S ANSWER IS WRONG.

Let us correctly simplify the difference expression

As

$=\frac{1}{2}p-\left(\frac{1}{4}p-4\right)$

$=\frac{p}{2}-\left(\frac{p}{4}-4\right)$

$=\frac{p}{2}-\frac{p}{4}+4$

Combine Like Terms:

$=(\frac{p}{2}-\frac{p}{4})+(4)$

$=\frac{p}{4}+4$          ∵  $\frac{p}{2}-\frac{p}{4}=\frac{p}{4}$

Hence, the correct simplification is $=\frac{p}{4}+4$.

Keywords: operation, difference

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