Decimal numbers can also be expressed as fractions using the denominators of 10 or 100.
Here are some models.
Model of One Whole
One whole is shaded.
1 whole
one
1.0
One whole can be called
![]()
(because 10 out of 10 columns are shaded).
One whole is
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(because all 100 small boxes are shaded).
Model One Tenth
One tenth is shaded.
1/10 of a whole
one tenth
0.1
=
Model One Hundredth
One hundredth is shaded.
1/100 of a whole
one hundredth
0.01
Let's Practice Together
Use the models to write decimals and fractions.
1. Tell how many tenths are shaded (columns): ______
Write the tenths shaded as a fraction:
Write the tenths shaded as a decimal:
2. Tell how many tenths are shaded (columns): ______
Write the tenths shaded as a fraction:
Write the tenths shaded as a decimal:
3. Tell how many hundredths are shaded (individual boxes): ______
Write the hundredths shaded as a fraction:
Write the hundredths shaded as a decimal:
Your Turn
Copy each grid below to answer the following questions.
4. Color in the squares to show each fraction. Then write each fraction as a decimal.
5. Color in the squares to show each fraction. Then write each fraction as a decimal.
6. Color in the squares to show each fraction. Then write each fraction as a decimal.
7. Color in the squares to show each fraction. Then write each fraction as a decimal.
Check for Understanding
1. Tell how many tenths are shaded (columns): ______
How many hundredths are shaded (individual boxes): _______
Write the fraction shaded with a denominator of 10:
Write the fraction shaded with a denominator of 100:
Write the decimal shaded:
Answers
1. 6; 6/10; 0.6
2. 2; 2/10; 0.2
3. 97; 97/100; 0.97
4. 0.9
5. 0.08
6. 0.4
7. 0.4
Check for Understanding
1. 2; 20; 2/10; 20/100; 0.2