How does the 5th grade sheet differ from the 4th grade one?

The numbers are decimals, like 0.99 and 0.033, and the problems are written as equations to complete rather than sentences. The idea is the same, ten times between neighboring places, but now it runs on the right side of the decimal point, which is 5.NBT.A.1.

Why is 1/10 an answer and not 0.1?

Both name the same number. The key shows 1/10 because the standard talks about one tenth of the place to the left. If your child writes 0.1, the idea is there. Ask them to say it as one tenth so the fraction and the decimal connect.

Are there decimal places beyond hundredths?

Yes. Problems reach the thousandths place, for example 0.033, so your child compares hundredths with thousandths as well as tenths with hundredths. The pattern does not change. Each step to the right is one tenth of the place before it.

5th grade place value relationships

5th grade place value relationships worksheets

Place value relationships worksheets for 5th grade move the same idea past the decimal point. Each problem takes a decimal with a repeated digit, like 0.77 or 0.033, and asks your child to complete an equation such as 0.7 equals some number times 0.07. The answer is 10 or 1/10 every time. Eight problems, written as equations rather than sentences.

Free printable PDF worksheet, aligned to Common Core 5.NBT.A.1.

Each print is a different sheet with its own answer key. You don't need to sign up.

The kind of problems you'll get

Compare the values of the repeated digit. Complete each equation.

In 0.99: 0.9 = × 0.09
Answer: 10
In 0.033: 0.003 = × 0.03
Answer: 1/10
In 0.77: 0.7 = × 0.07
Answer: 10

Every print pulls a fresh set of problems at this level, so a make-up test or a second sibling never gets the same sheet.

What's on each sheet

Place value relationships. Compare the values of the repeated digit. Complete each equation. 8 problems per page.

Every version prints on US Letter or A4, with its answer key after the problems.

This sheet is one of the versions on the 5th grade decimal place value page, with its own difficulty choices and its own answer key.

How to teach this

Decimals hide the size of the jump, so start by writing both values as the sheet does: in 0.77, the left 7 is 0.7 and the right 7 is 0.07. Then ask which is bigger. Many children guess 0.07 because it has more digits. Money settles it. 0.7 dollars is seventy cents, 0.07 is seven cents, and ten of the seven cents make seventy. The equation on the sheet follows: 0.7 equals 10 times 0.07. When the smaller value sits on the left, as in 0.003 equals some number times 0.03, the answer flips to 1/10. Have your child read each equation aloud with the missing number as "how many", then decide whether the answer should be more than one or less. The check is a multiplication: 10 times 0.07 is 0.70, which is 0.7.

Watch for: Kids say the left digit is bigger but cannot say by how much, or guess 100 because it feels like a big jump. Neighboring places are always ten times apart, one step at a time. Kids answer 10 for every problem without reading the direction. When the sentence or equation starts from the smaller value, the answer is 1/10, and a check by multiplying catches it.

Common questions about 5th grade place value relationships

How does the 5th grade sheet differ from the 4th grade one?: The numbers are decimals, like 0.99 and 0.033, and the problems are written as equations to complete rather than sentences. The idea is the same, ten times between neighboring places, but now it runs on the right side of the decimal point, which is 5.NBT.A.1.
Why is 1/10 an answer and not 0.1?: Both name the same number. The key shows 1/10 because the standard talks about one tenth of the place to the left. If your child writes 0.1, the idea is there. Ask them to say it as one tenth so the fraction and the decimal connect.
Are there decimal places beyond hundredths?: Yes. Problems reach the thousandths place, for example 0.033, so your child compares hundredths with thousandths as well as tenths with hundredths. The pattern does not change. Each step to the right is one tenth of the place before it.

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Aligned to Common Core 5.NBT.A.1. Reviewed by the One more sheet team. Content version 241, updated September 2026.

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