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Assignment: Estimation and Reasonableness Investigation

Regardless of a mathematical problem, an answer must be plausible or make sense.

John: “I got 124 meters.”

Mary: “I got 18 kilograms.”

Teacher: “Either way, that’s a lot of orange juice!”

Often times, the error may not be as evident as in this humorous discussion. More often, an error is something that you might have simply copied off of a calculator screen without taking the time to consider what the solution should be.

Example:  Problem:  3.21 • 7.8

Thinking:  3 • 8 = 24  I am expecting an answer around 24 (with 3     decimal places).

  Answer:  40.638

I know that this answer is wrong because it is nowhere near my expected answer of 24.

Do not solve these problems.  Circle whether these answers are reasonable or not. Explain your thinking to justify your choice.

Circle One

Justify your choice.

1.

A company van traveled 500 miles in 6 hours when making deliveries.

Reasonable

Not Reasonable

2.

An order of 28 packages of paper at $3.50 each cost a total of $98.

Reasonable

Not Reasonable

3.

An employee worked for 17 hours at $8 an hour last week. Their payroll sheet says they earned $166 before taxes.

Reasonable

Not Reasonable

4.

The amount of carpet needed to replace the carpet in an office is 150 square miles.

Reasonable

Not Reasonable

5.  A gallon of paint covers about 350 square feet.  A painter buys 8 gallons of paint to paint 2300 square feet.

Reasonable

Not Reasonable

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