4th Grade Tenths, Hundredths and Decimal Notation Worksheets with Answers (Free PDF)

Q: How do you write a fraction with denominator 10 as a fraction with denominator 100?

Multiply the top and bottom by 10. Two tenths becomes twenty hundredths, because 2 times 10 is 20 and 10 times 10 is 100. The value does not change, since you multiply by ten tenths, which equals 1. The decimal is 0.20.

Q: How do you compare decimals like 5.3 and 5.29?

Write both with the same number of places: 5.30 and 5.29. The whole numbers match, so compare tenths: 3 is more than 2. So 5.30 is greater. More digits does not mean a bigger number.

Q: How do you find change from a school store purchase?

Add the prices to find the total, then subtract from the money paid. Line up the decimal points just as you line up place values. For example, a 0.15 dollar pencil and a 0.30 dollar eraser cost 0.45 dollars.

4th grade decimals worksheet – Maths PDF

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This 4th grade decimals worksheet 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 worksheet helps fourth grade students practice writing, adding, and comparing decimals and fractions with denominators of 10 and 100.

Topic: Tenths, Hundredths and Decimal Notation (4th grade)
Content: 20 worksheet problems, from easy to challenging
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 worksheet helps fourth grade students practice writing, adding, and comparing decimals and fractions with denominators of 10 and 100. Also, grids, number lines, and money keep the place values clear and connect the work to real life.

There are 20 problems. The first six convert between fractions and decimals, the next two add tenths and hundredths, and the middle group uses number lines, place value, and comparing. Then, the last six are real situations with money, rain, a garden, notebook prices, a long jump, and school store change. Also, plan about 30 minutes, and sketch a grid for any problem that feels unclear.

This worksheet has 20 problems on tenths, hundredths and decimal notation. Problems use 100-square grids, number lines, money and comparisons of decimals to hundredths (Common Core 4.NF.C.5, 4.NF.C.6 and 4.NF.C.7).

Grade 4 · Common Core State Standards: 4.NF.C.5, 4.NF.C.6, 4.NF.C.7

4th grade decimals worksheet: worksheet problems 1 to 10

1 – Tenth as a decimal

First, write $\frac{3}{10}$ as a decimal.

2 – Dimes as hundredths

Jamal has 9 dimes. Write 9 dimes as a fraction of a dollar with denominator 10, and then with denominator 100.

3 – Shaded columns

Then, write the shaded part of the grid as a fraction with denominator 10, as a fraction with denominator 100 and as a decimal.

A grid with 6 columns shaded.

4 – Hundredths as a decimal

Now, write $\frac{47}{100}$ as a decimal.

5 – Decimal as a fraction

Also, write 0.08 as a fraction.

6 – Half as hundredths

First, write 0.5 as a fraction with denominator 10 and as a fraction with denominator 100.

7 – Tenths plus hundredths

Next, add $\frac{3}{10}$ + $\frac{4}{100}$. Write the sum as a fraction and a decimal.

8 – Adding two fractions

Then, add $\frac{2}{10}$ + $\frac{35}{100}$. Write the sum as a decimal.

9 – Point on a number line

Now, write the decimal for the point on the number line.

A number line from 0 to 1.

10 – Place value

Also, in the number 4.75, name the place of the digit 7 and the place of the digit 5.

Worksheet problems 11 and up

11 – Compare 0.4 and 0.38

First, compare 0.4 and 0.38 using >, < or =.

12 – Compare 0.57 and 0.6

Next, compare 0.57 and 0.6 using >, < or =.

13 – Order decimals

Then, write these decimals from least to greatest: 0.5, 0.05, 0.55, 0.45.

14 – Zoomed number line

Now, the number line shows the numbers from 0.3 to 0.4. Each small mark is 0.01. Write the decimal for the point.

A number line from 0.3 to 0.4.

15 – Dimes and pennies

Maya has 3 dimes and 4 pennies. Write her money as a fraction of a dollar and as a decimal in dollars.

Maya’s coins.

16 – Rainy days

First, it rained 0.6 inch on Monday and 0.45 inch on Tuesday. Which day had more rain?

17 – Garden plan

Sofia plants tomatoes in $\frac{4}{10}$ of her garden and peppers in $\frac{5}{100}$ of it. What fraction and what decimal of the garden has tomatoes or peppers? The grid shows the garden.

The garden as a 10 by 10 grid.

18 – Notebook prices

Diego sees two notebooks. One costs $2.40 and the other costs $2.04. Which notebook costs less? Explain using hundredths.

Worksheet problem 19 and after

19 – Long jump

Mei jumped 4.2 feet in the long jump. Liam jumped 4.19 feet. Write 4.2 with hundredths. Who jumped farther?

20 – School store change

Also, at the school store, Noah buys a pencil for $0.25 and an eraser for $0.40. He pays with 7 dimes ($0.70). How much does he spend, and how much change does he get?

Prices at the school store.

Key facts behind this 4th grade decimals worksheet

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 worksheet

Students write 6 dimes as 6 hundredths. Six dimes is 60 cents, so the fraction is six tenths, or sixty hundredths.
Students add 4 and 25 and write 0.29 for four tenths plus twenty-five hundredths. Rewrite four tenths as forty hundredths first, then add.
Students order decimals by the number of digits. Also, write each decimal with two places, such as 0.50 and 0.05, before you compare.
Students pick the price with the bigger hundredths digit as the larger one. Instead, compare place by place from the tenths, not from the right.

Tips before you start the worksheet problems

Rewrite every decimal with two places before you compare or order. That turns 0.7 into 0.70, which is easy to compare with 0.65.
Use money to check your answers. Decimals with two places act like dollars and cents, so 0.34 is 34 cents.
Teachers can start with a shaded hundred grid and ask students to write the same amount in three ways.

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

4th grade decimals worksheet: frequently asked questions

How do you write a fraction with denominator 10 as a fraction with denominator 100?

Multiply the top and bottom by 10. Two tenths becomes twenty hundredths, because 2 times 10 is 20 and 10 times 10 is 100. The value does not change, since you multiply by ten tenths, which equals 1. The decimal is 0.20.

How do you compare decimals like 5.3 and 5.29?

Write both with the same number of places: 5.30 and 5.29. The whole numbers match, so compare tenths: 3 is more than 2. So 5.30 is greater. More digits does not mean a bigger number.

How do you find change from a school store purchase?

Add the prices to find the total, then subtract from the money paid. Line up the decimal points just as you line up place values. For example, a 0.15 dollar pencil and a 0.30 dollar eraser cost 0.45 dollars.

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