AnswersAIA - 12 Career Math 1st SemUsing a Rule to Find Decimal Products

Using a Rule to Find Decimal Products Answers

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1
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Anna drove at a constant rate of 63 miles per hour for 3.2 hours. She determined she drove 201.6 miles. Which best explains the reasonableness of Anna’s answer?

A
There are three digits to the left of the decimal in the factors and three digits to the left of the decimal in the answer, so Anna’s answer is reasonable.
B
There is one digit to the right of the decimal in the factors and one digit to the right of the decimal in the answer, so Anna’s answer is reasonable.
C
Anna’s answer is reasonable because is 180, and 180 is reasonably close to 201.6.
Option C
D
Anna’s answer is reasonable because is 280, and 280 is reasonably close to 201.6.
Option D
2
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The length of a rectangular wall is 16.5 feet. The height of the wall is 8.625 feet. Cameron determines the area of the wall to be 1423.125 square feet. Which best explains the reasonableness of Cameron’s solution?

A
Cameron’s solution is reasonable because there are four decimal places in the factors and four decimal places in the product.
B
Cameron’s solution is reasonable because there are three decimal places in the factors and three decimal places in the product.
C
Cameron’s solution is unreasonable because is 153, and 153 is not close to his product.
Option C
D
Cameron’s solution is unreasonable because is 100, and 100 is not close to his product.
Option D
3

Wyatt hiked for 4.7 hours at a rate of 2.9 miles per hour. He determined that he hiked 13.63 miles. Which best explains the reasonableness of Wyatt’s answer?

A
There are two digits to the left of the decimal in the factors and two digits to the left of the decimal in the product, so Wyatt’s answer is reasonable.
B
There are two digits to the right of the decimal in the factors and two digits to the right of the decimal in the product, so Wyatt’s answer is reasonable.
C
Wyatt’s answer is reasonable because is 8, and 8 is close to 13.63.
Option C
D
Wyatt’s answer is reasonable because is 15, and 15 is close to 13.63.
Option D
4

Sebastian drove for 2.2 hours at an average rate of 43.5 miles per hour. He calculates that he drove 95.7 miles. He knows the answer should be near 80, because is 80. Which best explains Sebastian’s actual solution?

Question illustration
A
The actual product is reasonable because it is near 80 but greater than 80. Both factors were rounded down, making the estimate lower than the actual product.
B
The actual product is unreasonable. It should be near 80 but less than 80 because both factors were rounded down.
C
The actual product is reasonable because the estimate and actual answers both have two places to the left of the decimal.
D
The actual product is unreasonable because the estimate has zero places to the right of the decimal and the actual product has one decimal place to the right of the decimal.
5

Brenna is buying 4.25 feet of ribbon for $1.95 a foot. She determines the product of the two numbers to determine the actual cost of the length of ribbon. Which expression will result in the best estimate for Brenna to use to check her multiplication?

A
4 times 1
Option A
B
4 times 2
Option B
C
5 times 1
Option C
D
5 times 2
Option D
6

Jonathan pays $1.90 per pound for potatoes. He buys 8.3 pounds of potatoes. He determines that he will pay $15.77, before tax, for the potatoes. Which best describes the reasonableness of Jonathan’s solution?

A
Jonathan’s answer is reasonable because there are two decimal places in the factors and two in the product.
B
Jonathan’s answer is unreasonable because there are three decimal places in the factors and two in the product.
C
Jonathan’s answer is reasonable because is 16, and 16 is close to 15.77.
Option C
D
Jonathan’s answer is unreasonable because is 8, and 8 is not very close to 15.77.
Option D
7

Callie evaluated the expression using the steps shown below.Which best explains Callie’s error?

Question illustration
A
Callie incorrectly placed the decimal.
B
Callie multiplied incorrectly.
C
Callie added incorrectly.
D
Callie incorrectly used placeholder zeros.
8

How many decimal places are in the product of the expression below?

Question illustration
A
one
B
two
C
three
D
four
9

How many decimal places are in the product of 1.91 and 2.3?

A
one
B
two
C
three
D
four
10

The product of 84.12 and which number will have three decimal places?

A
4.22
B
10.51
C
14.163
D
19.3

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