AnswersFL-1205010-MJ Grade 6 Mathematics A-CRUnit Test

Using a Rule to Find Decimal Products Answers

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A drink was spilled on the math problem shown below.Ron remembers that the second factor was a decimal. Based on the placement of the decimals in the first factor and the product, which must be true of the second factor?

Question illustration
A
The decimal could be one-tenth.
B
The decimal could be two-tenths.
C
The decimal could be five-tenths.
D
The decimal could be seven-tenths.
2
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Jeremiah flies an airplane for 2.7 hours at an average speed of 304.6 miles per hour. How far did Jeremiah fly?

A
82.242 miles
B
822.42 miles
C
8,224.2 miles
D
82,242 miles
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
4

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

Question illustration
A
one
B
two
C
three
D
four
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.
6

Charlie is evaluating the product of 0.09 and 0.05. He multiplies, and before placing the decimal, arrives at an answer of 45. After considering the decimal placement, what is Charlie’s final answer?

A
0.0045
B
0.045
C
0.45
D
0.4545
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.
11

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
12

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
13

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
14

What is the product of 0.42 and 0.03?

A
0.0126
B
0.126
C
126
D
1,260
15

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

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