4th Grade Tenths, Hundredths and Decimal Notation Test with Answer Key (Free PDF)

Q: How do you read a point on a zoomed number line?

Find the value of each small mark first. If the line runs from 0.2 to 0.3 with ten marks, each mark is 0.01. Count marks from the left end, so a point four marks past 0.2 is at 0.24. Always check the labels at both ends.

Q: How do you write a decimal as a sum of fractions?

Split the digits by place value. In 0.46, the 4 in the tenths place is 4 over 10 and the 6 in the hundredths place is 6 over 100. So 0.46 equals four tenths plus six hundredths.

Q: What should I show on an explanation question about decimals?

Write a complete sentence that names the place value you compared. For example, say that 0.3 is the same as 0.30, and 30 hundredths is greater than 28 hundredths. A short sentence with numbers earns more credit than yes or no.

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This 4th grade decimals test covers tenths, hundredths and decimal notation (Common Core 4.NF.C.5, 4.NF.C.6, 4.NF.C.7), with a free PDF to print.

Key takeaway: This test helps fourth grade students show that they can write, add, and compare decimals and fractions with denominators of 10 and 100.

Topic: Tenths, Hundredths and Decimal Notation (4th grade)
Content: 9 questions with point values, about 45 minutes
Standards: 4.NF.C.5, 4.NF.C.6, 4.NF.C.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 fourth grade students show that they can write, add, and compare decimals and fractions with denominators of 10 and 100. It is worth 20 points and takes 45 minutes, so students have time to draw and explain.

The nine questions start with a hundred grid, then ask for conversions between fractions and decimals, adding tenths and hundredths, and reading a zoomed number line. Also, later questions compare decimals, order a list, and expand a number. Then, one question is a three part school store problem, and the last asks students to correct a classmate’s claim.

This test checks tenths, hundredths, decimal notation, number lines, comparing decimals and money. It has 9 questions worth 20 points. Allow 45 minutes and no calculator.

Time and points

About this test

Grade: Grade 4
Chapter: Tenths, Hundredths and Decimal Notation
Standards: 4.NF.C.5, 4.NF.C.6, 4.NF.C.7
Time: 45 minutes
Total: 20 points

4th grade decimals test: questions

1 – Grid fractions [2 pts]

First, the grid has 100 equal squares.

A grid with some squares shaded.

Write the shaded part as a fraction with denominator 100 and as a decimal.

2 – Fractions to decimals [2 pts]

Next, write each fraction as a decimal.

$\frac{9}{10}$ (1 point)
$\frac{56}{100}$ (1 point)

3 – Hundredths fractions [2 pts]

Then, write each as a fraction with denominator 100.

0.7 (1 point)
$\frac{3}{10}$ (1 point)

4 – Add tenths and hundredths [2 pts]

Now, add $\frac{6}{10}$ + $\frac{25}{100}$. Write the sum as a fraction and a decimal.

5 – Zoomed number line [2 pts]

Also, the number line shows 0.5 to 0.6. Each small mark is 0.01.

A number line from 0.5 to 0.6.

Write the decimal for point P. (1 point)
Compare P with 0.5 using >, < or =. (1 point)

6 – Compare decimals [2 pts]

First, write >, < or = to compare.

$0.3 \quad\quad 0.30$ (1 point)
$0.09 \quad\quad 0.1$ (1 point)

7 – Order and expand [3 pts]

Write these decimals from least to greatest: 0.8, 0.08, 0.88, 0.7. (2 points)
Write 0.88 as a sum of two fractions, one with denominator 10 and one with denominator 100. (1 point)

Question 8 and after

8 – School store [3 pts]

Priya buys a pencil and an eraser at the school store.

Prices at the school store.

Write the price of the pencil as a fraction of a dollar. (1 point)
How much do the pencil and eraser cost together? (1 point)
Priya pays with $1.00. How much change does she get? (1 point)

9 – Liam's claim [2 pts]

Liam says 0.4 is less than 0.38 because 4 is less than 38. Is he correct? Explain.

Key facts behind this 4th grade decimals test

Key facts

One tenth = 10 hundredths, so 3/10 = 30/100.
Next, the first digit after the decimal point is tenths and the second is hundredths.
To add tenths and hundredths, rewrite the tenths as hundredths first: 3/10 + 4/100 = 34/100 = 0.34.
Then, compare decimals by writing them to the same place: 0.4 = 0.40, which is greater than 0.38.
Money is hundredths of a dollar: a dime is $0.10 and a penny is $0.01.

Common mistakes with this 4th grade decimals test

Students say 0.7 is less than 0.70 because it has fewer digits. Instead, explain that seven tenths equals seventy hundredths.
Students put 0.09 after 0.7 because 9 is a bigger digit. Also, order by place value, not by the digit alone.
Students add the numerators and write a sum over 100 without converting. Rewrite the tenths as hundredths first, then add.
Students agree with a claim that 0.5 is less than 0.45 because 5 is less than 45. Explain that 0.5 equals 0.50, and 50 hundredths is more than 45.

Test-taking strategy

Rewrite decimals with two places before you compare them. This one step solves most comparison questions. Repeat this habit on every problem for the best results.
For the zoomed number line, count by hundredths from the left mark. Each tick adds 0.01, so count carefully.
Parents can review with a coin jar the night before. Sorting dimes and pennies into dollars gives a clear picture of tenths and hundredths.

Download the 4th grade decimals test as a PDF with the button below and keep it with your notes.

4th grade decimals test: frequently asked questions

How do you read a point on a zoomed number line?

Find the value of each small mark first. If the line runs from 0.2 to 0.3 with ten marks, each mark is 0.01. Count marks from the left end, so a point four marks past 0.2 is at 0.24. Always check the labels at both ends.

How do you write a decimal as a sum of fractions?

Split the digits by place value. In 0.46, the 4 in the tenths place is 4 over 10 and the 6 in the hundredths place is 6 over 100. So 0.46 equals four tenths plus six hundredths.

What should I show on an explanation question about decimals?

Write a complete sentence that names the place value you compared. For example, say that 0.3 is the same as 0.30, and 30 hundredths is greater than 28 hundredths. A short sentence with numbers earns more credit than yes or no.

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