5th Grade Multiplying and Dividing Decimals Test with Answer Key (Free PDF)

5th grade multiplying decimals test – Maths PDF

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This 5th grade multiplying decimals test covers multiplying and dividing decimals (Common Core 5.NBT.B.7), with a free PDF to print.

Key takeaway: This test helps fifth grade students show that they can multiply and divide decimals, use models and estimates, and solve real problems.

Topic: Multiplying and Dividing Decimals (5th grade)
Content: 9 questions with point values, about 45 minutes
Standards: 5.NBT.B.7
Answers: On a separate page, so you can try every worksheet problem first
Format: Free printable PDF, US Letter, black and white

This test helps fifth grade students show that they can multiply and divide decimals, use models and estimates, and solve real problems. Also, it is worth 20 points and takes 45 minutes.

The nine questions begin with products of decimals and a grid model, then divide by whole numbers and by decimals. Then, later questions use an estimate to check a classmate’s product, find the cost of grapes, cut a board, total a receipt, and compare two rectangles. Also, show every step and place decimal points carefully.

This test has 9 questions worth 20 points in all. It checks multiplying and dividing decimals to hundredths (5.NBT.B.7). Show all work, and write the units in word problems. Calculators are not allowed. The test takes about 45 minutes.

Time and points

About this test

Grade: Grade 5
Chapter: Multiplying and Dividing Decimals
Standards: 5.NBT.B.7
Time: 45 minutes
Total: 20 points

5th grade multiplying decimals test: questions

1 – Multiply decimals [2 pts]

Find $0.6 \times 0.9$. (1 point)
Find $4.2 \times 3.5$. (1 point)

2 – Model of a product [2 pts]

Next, the grid shows a multiplication of two decimals.

Each small square is 0.01.

Write the multiplication sentence the model shows. (1 point)
Find the product. (1 point)

3 – Divide by a whole number [2 pts]

Also, find $8.4 \div 7$. (1 point)
In addition, find $5.76 \div 8$. (1 point)

4 – Divide by a decimal [2 pts]

Also, find $9 \div 0.3$. (1 point)
Find $3.6 \div 0.08$. (1 point)

5 – Check with an estimate [2 pts]

Kai says that $6.2 \times 0.5$ equals 31.

Estimate the product by rounding. Explain why 31 is not reasonable. (1 point)
Find the correct product. (1 point)

6 – Price of grapes [2 pts]

Noah buys 2.5 pounds of grapes at the price shown.

Noah’s grapes.

Calculate the total cost.

7 – Cutting a board [3 pts]

Jamal cuts a 12.6-foot board into pieces that are each 0.9 foot long.

A board cut into equal pieces.

How many pieces does he get? (2 points)
He sells each piece for $1.75. How much money does he collect for all the pieces? (1 point)

Question 8 and after

8 – School store receipt [3 pts]

Liam buys items at the school store, as shown.

Liam’s purchase.

Find the total cost. (2 points)
Liam pays with a $20 bill. How much change does he get? (1 point)

9 – Two rectangles [2 pts]

Now, a rectangular garden is 4.6 feet long and 3.5 feet wide.

First garden.

Find the area of the garden. (1 point)
A second rectangle has an area of 7.14 square feet and a width of 2.1 feet. Find its length. (1 point)

Key facts behind this 5th grade multiplying decimals test

Key facts

The product of two decimals has as many decimal places as both factors together.
Next, a hundredths grid shows 0.3 times 0.4 as 12 squares, which is 0.12.
When dividing by a whole number, keep the decimal point in line.
Multiplying both numbers by 10, 100, or 1,000 does not change a quotient.
Estimate first to check where the decimal point belongs.

Common mistakes with this 5th grade multiplying decimals test

Students accept a product with the decimal point in the wrong place. Also, estimate by rounding to see whether it makes sense.
Students divide by a decimal without scaling. Instead, multiply both numbers by the same power of ten. Slow down at that step and check it twice.
Students forget the second part of a cutting problem. Find the number of pieces, then use it for the money.
Students subtract from the wrong bill in a change problem. Find the total cost first, then subtract from the amount paid.

Test-taking strategy

Estimate each product and quotient first. Finally, it takes seconds and prevents most decimal point errors. Repeat this habit on every problem for the best results.
Write the scaled division on its own line. Also, showing the new numbers earns partial credit. Repeat this habit on every problem for the best results.
Parents can review the night before with grocery prices. Then, multiplying a price by a weight is real practice.

Download the 5th grade multiplying decimals test as a PDF with the button below and keep it with your notes.

5th grade multiplying decimals test: frequently asked questions

How do I use an estimate to show an answer is not reasonable?

Round each number and do the operation. For 4.1 times 0.5, think 4 times 0.5, which is 2. An answer of 20 is far from 2, so it is not reasonable. Then find the correct product.

How do I divide a whole number by a decimal?

Multiply both numbers by the same power of ten to make the divisor a whole number. To divide 6 by 0.2, think 60 divided by 2, which is 30. The quotient does not change when you scale both numbers.

How should I show work for a receipt problem?

Write each price, add them, and label the total. Then subtract the total from the money paid to find the change. Show each step and write the dollar sign. A quick check like this takes only a few seconds and prevents most errors.

All Grade 5 chapters: Grade 5 math.

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