5th Grade Reading, Comparing and Rounding Decimals Test with Answer Key (Free PDF)

5th grade comparing decimals test – Maths PDF

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This 5th grade comparing decimals test covers reading, comparing and rounding decimals (Common Core 5.NBT.A.3, 5.NBT.A.4), with a free PDF to print.

Key takeaway: This test helps fifth grade students show that they can read, write, compare, order, and round decimals to the thousandths place.

Topic: Reading, Comparing and Rounding Decimals (5th grade)
Content: 9 questions with point values, about 45 minutes
Standards: 5.NBT.A.3, 5.NBT.A.4
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 read, write, compare, order, and round decimals to the thousandths place. Also, it is worth 20 points and takes 45 minutes.

The nine questions begin with word form and standard form, then use expanded form and a place value chart. Then, later questions compare decimals, order a list, round one number to several places, and solve a long jump problem. Also, the last question asks students to judge a classmate’s rounding. Then, show your reasoning for full credit.

This test covers reading, comparing and rounding decimals to the thousandths for Grade 5 (5.NBT.A.3 and 5.NBT.A.4). It has 9 questions worth 20 points. You have 45 minutes. Show the zeros you add when you compare. Calculators are not allowed.

Time and points

About this test

Grade: Grade 5
Chapter: Reading, Comparing and Rounding Decimals
Standards: 5.NBT.A.3, 5.NBT.A.4
Time: 45 minutes
Total: 20 points

5th grade comparing decimals test: questions

1 – Write in words [2 pts]

First, write each decimal in word form.

\(0.075\) (1 point)
\(12.04\) (1 point)

2 – Write as decimals [2 pts]

Next, write each number in standard form.

six and nine hundredths (1 point)
two hundred five thousandths (1 point)

3 – Expanded form [2 pts]

Then, write 4.372 in expanded form using fractions.

4 – Value of a digit [2 pts]

Now, use the chart showing 3.256 and 9.401.

The number 3.256.

Write the value of the 5 in 3.256. (1 point)
Write the value of the 1 in 9.401. (1 point)

5 – Compare decimals [3 pts]

Also, write <, > or = in each blank.

\(0.7 \quad ? \quad 0.07\) (1 point)
\(3.405 \quad ? \quad 3.45\) (1 point)
\(8.60 \quad ? \quad 8.6\) (1 point)

6 – Order decimals [2 pts]

First, order from greatest to least: \(5.09, 5.9, 5.095, 5.19\).

A number line from 5 to 6.

7 – Round 7.4851 [3 pts]

Next, round 7.4851 to each place.

Where 7.4851 sits.

nearest whole number (1 point)
nearest tenth (1 point)
nearest hundredth (1 point)

Question 8 and after

8 – Long jump [3 pts]

Noah’s long jump distances were 13.25 ft, 13.3 ft and 13.205 ft.

Distance past 13 ft.

Which jump was the longest? (1 point)
List the distances from shortest to longest. (1 point)
Round the shortest distance to the nearest tenth of a foot. (1 point)

9 – Priya's rounding [1 pt]

Priya rounds 3.46 to the nearest whole number and writes 4. Is she correct? Explain.

Key facts behind this 5th grade comparing decimals test

Key facts

The places right of the decimal point are tenths, hundredths and thousandths.
Expanded form shows each digit times its place value, such as 4 × 1/10.
To compare decimals, compare digits from left to right, one place at a time.
Adding zeros to the end of a decimal does not change its value: 0.3 = 0.30.
Round up when the next digit is 5 or more; keep the digit when it is 4 or less.

Common mistakes with this 5th grade comparing decimals test

Students think more digits means a greater number. Instead, add zeros to match lengths before comparing. Slow down at that step and check it twice.
Students round a number to the wrong place. Underline the place named in the question first. Slow down at that step and check it twice.
Students write the value of a digit as the digit itself. Also, give the place value, such as hundredths.
Students accept a classmate’s rounding without checking the digit to the right. Instead, test it yourself. Slow down at that step and check it twice.

Test-taking strategy

Rewrite decimals with the same number of places before you compare or order them. Repeat this habit on every problem for the best results.
For explanation questions, write one sentence that names the digit and the place. A short reason earns credit.
Parents can review the night before by asking the child to round a single number to three different places.

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5th grade comparing decimals test: frequently asked questions

How do I show the value of a digit in a decimal?

Name the place and write the value as a decimal or a fraction. In 7.382, the 8 is in the hundredths place, so its value is 0.08 or eight hundredths. Use the chart if one is given.

How should I round to several places on one number?

Start from the original number each time. Underline the place, check the next digit, and write the result. Do not round the rounded number again, because that can change the answer. A quick check like this takes only a few seconds and prevents most errors.

What counts as a good explanation of a rounding mistake?

Name what the student did and what to do instead. If someone looked at the wrong digit, say which digit matters. Then give the correct rounded number and the reason, such as a digit of 4 rounds down.

All Grade 5 chapters: Grade 5 math.

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