Decimals: Tenths, Hundredths & Equivalent Fractions
Print 4th grade decimal worksheets converting tenths to hundredths, writing visual fractions as decimals, and comparing decimals with printable answer keys. Aligned with Common Core standards CCSS 4.NF.C.5, CCSS 4.NF.C.6, and CCSS 4.NF.C.7.
Worksheet version 1 of 12. Generates reproducible decimal models and comparison problems with an exact matching answer key.
1. Write the shaded part of the 100-grid as both a fraction and a decimal.
Fraction: ________ | Decimal: ________
2. Write the shaded part of the 10-part bar as both a fraction and a decimal.
Fraction: ________ | Decimal: ________
3. Convert 4/10 to an equivalent fraction with denominator 100, then find the sum: 4/10 + 25/100.
____/100 + 25/100 = ____/100
4. Write each number in the other form: 8/10 as a decimal, and 0.45 as a fraction.
8/10 = ________ | 0.45 = ________
5. Compare these two decimals using <, >, or =: 0.7 ____ 0.58
0.7 [ < , > , = ] 0.58
6. What decimal is represented by the point on the number line between 0 and 1?
Point = ________
Understanding Decimals and Fractions
Decimals are another way of writing fractions with denominators of 10 or 100:
- Tenths: 1/10 = 0.1. A bar with 10 parts, where each part is one tenth.
- Hundredths: 1/100 = 0.01. A 10×10 grid with 100 squares, where each square is one hundredth.
- Equivalence: 1 tenth equals 10 hundredths (1/10 = 10/100, or 0.1 = 0.10). Therefore, 4/10 = 40/100.
- Comparing decimals: Compare by place value from left to right. 0.7 (70 hundredths) is greater than 0.58 (58 hundredths).
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