Using a Rule to Find Decimal Products Answers

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3

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
5

One floor of a dollhouse is 1.6 feet tall. The dollhouse contains two levels of living areas and an attic for a total of 2.5 floors. Jaime estimates the height of the dollhouse by computing . How does her estimate compare to the actual height of the dollhouse?

Question illustration
A
Her estimate is greater than the actual height because both factors were rounded up.
B
Her estimate is less than the actual height because both factors were rounded up.
C
Her estimate is greater than the actual height because both factors were rounded down.
D
Her estimate is less than the actual height because both factors were rounded down.
7

Jason walked for 0.75 hours at a rate of 3.4 miles per hour. He determines that he walked 0.255 miles. Which best explains Jason’s mistake?

A
Jason likely applied his times tables incorrectly, because and 0.255 is not near 3.
Option A
B
Jason likely misplaced the decimal, because , and if the decimal was between the 2 and the 5, the number would be near 3.
Option B
C
Jason likely applied his times tables incorrectly because there are 3 decimal places in the factors and 3 decimal places in the product.
D
Jason likely misplaced the decimal because there is 1 decimal place in the factors and 0 decimal places in the product.
8

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

Question illustration
A
Mikayla added the whole numbers incorrectly.
B
Mikayla multiplied the whole numbers incorrectly.
C
Mikayla moved the decimal incorrectly.
D
Mikayla’s answer should have been a whole number.
9

The product of which expression contains four decimal places?

A
5.3478 times 6.4214
Option A
B
6.4 times 9.1
Option B
C
521 times 3.82
Option C
D
14.2 times 0.784
Option D
10

Karissa determines the area of her desk by multiplying 45.72 centimeters and 60.95 centimeters. She states that the area is 2786.634 square centimeters. Which best describes the reasonableness of Karissa’s solution?

A
The solution is unreasonable because is 3,000, not 2,786.
Option A
B
The solution is reasonable because is 3,000, which is close to the computed area.
Option B
C
The solution is unreasonable because there are four decimal places in the factors and only three decimal places in the product.
D
The solution is reasonable because there are four numbers to the left of the decimal in the factors and four numbers to the left of the decimal in the product.

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Using a Rule to Find Decimal Products Answers…