5th Grade Adding and Subtracting Decimals Test with Answer Key (Free PDF)

5th grade adding and subtracting decimals test – Maths PDF

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This 5th grade adding and subtracting decimals test covers adding and subtracting 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 add and subtract decimals accurately and explain their work.

Topic: Adding and Subtracting 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 add and subtract decimals accurately and explain their work. Also, it is worth 20 points and takes 45 minutes.

The nine questions start with adding decimals, then add with regrouping and subtract. Then, later questions subtract across a zero, estimate and check, and correct a classmate’s sum. Also, one question is a receipt problem, another is a three part running problem, and the last uses a grid. Then, show every step.

This test covers adding and subtracting decimals to the hundredths for Grade 5 (5.NBT.B.7). It has 9 questions worth 20 points. You have 45 minutes. Line up the decimal points and show your work. Calculators are not allowed. Include a dollar sign in money answers.

Time and points

About this test

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

5th grade adding and subtracting decimals test: questions

1 – Add decimals [2 pts]

First, find each sum.

$0.7+0.5$ (1 point)
$6.35+2.4$ (1 point)

2 – Add with regrouping [2 pts]

Next, find the sum: $38.76+19.58$.

3 – Subtract decimals [2 pts]

Then, find each difference.

$5.2-1.8$ (1 point)
$9-4.57$ (1 point)

4 – Subtract with regrouping [2 pts]

Now, find the difference: $63.04-27.89$.

5 – Estimate and check [2 pts]

Also, round each number to the nearest whole number to estimate $47.8+22.3$. Then find the exact sum.

6 – Ethan's sum [2 pts]

Ethan adds $3.6+2.45$ and gets 2.81. Explain his mistake and find the correct sum.

7 – Lunch receipt [3 pts]

Sofia buys lunch. The receipt shows her items.

Sofia’s items.

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

8 – Weekend run [3 pts]

Priya’s goal is to run 8 miles over the weekend. She runs 3.4 miles on Saturday and 2.85 miles on Sunday.

Priya’s weekend run.

How many miles does she run in all? (1 point)
How many more miles does she need to reach her goal? (2 points)

Question 9 and after

9 – Shaded grid [2 pts]

Now, the grid has 36 squares shaded gray and 29 squares shaded light gray. Write an addition of two decimals for the shaded parts and find the sum.

Shaded grid.

Key facts behind this 5th grade adding and subtracting decimals test

Key facts

Line up the decimal points so tenths are over tenths and hundredths are over hundredths.
Next, write placeholder zeros so both numbers have the same number of decimal places.
Regroup in decimals the same way you regroup whole numbers.
Then, estimate by rounding to the nearest whole number to check the answer.
Use the opposite operation to check: add the difference back to the subtracted number.

Common mistakes with this 5th grade adding and subtracting decimals test

Students add a classmate’s decimals by lining up the right edge. Line up the decimal points instead. Slow down at that step and check it twice.
Students subtract from a whole number without writing zeros. Write the whole number with a decimal point and zeros first.
Students skip the estimate. Round to whole numbers, add them, and then find the exact sum. Slow down at that step and check it twice.
Students answer only the first part of a three part problem. Instead, each part earns its own point.

Test-taking strategy

Write every problem in columns, even short ones. Columns prevent line up errors. Repeat this habit on every problem for the best results.
Check each subtraction by adding. If the sum does not match the top number, find the slip. Repeat this habit on every problem for the best results.
Parents can review the night before with grocery prices. Adding prices is real practice. Repeat this habit on every problem for the best results.

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5th grade adding and subtracting decimals test: frequently asked questions

How do I explain a decimal mistake?

Say what the student did and what to do instead. If a student lined up the digits on the right, the decimal points must line up instead. Then give the correct sum. A quick check like this takes only a few seconds and prevents most errors.

How should I show work on a receipt problem?

Write each price in a column, add, and label the total. Then subtract the total from the amount paid to find the change. Show both steps for full credit. A quick check like this takes only a few seconds and prevents most errors.

How do I use a grid to write a decimal?

Each square is one hundredth. Count the shaded squares and write that number of hundredths as a decimal. Then add the decimals for two colors. 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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