Question

Laura Simplified the expression 5x[(3.14+4.16)×9+2] as shown

Step 1: 5x[7.3x9+2]
Step 2. 5x[7.3x11]
Step 3. 5x80.3
Step 4. 401.5

Questions:

A. In what step did Laura first make a mistake?

B. Explain what the mistake was using mathematical detail academic language

C. Show your step by step work using mathematical detail and academic language to simplify the expression

D. What is the correct answer to the expression ​

Answer 1

Answer and Explanation

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A. Step 2

B. Step 2 is wrong because multiplying is first before adding, and Laura added before multiplying and got 401.5 instead of 338.5

C.
`5\cdot\left(\left(3.14+4.16\right)\cdot9+2\right)` =
`?`

`5\cdot\left(\left(7.3\right)\cdot9+2\right)` =
`?`

`5\cdot\left(65.7+2\right)` =
`?`

`5\cdot\left(67.7\right)` =
`?`

D.
`338.5`

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Hope this helps! <3

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