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Fractions · Grade 4

Tenths, Hundredths, and Decimals Worksheets

A fraction and a decimal can name the same amount. Keep track of the size of each part and the place of each digit.

6 problemsAnswer key includedFree printableA4 & US Letter
Generate & printSee the worked example

Read hundredths as decimal places

Thirty-seven hundredths is 37/100, written as 0.37. The first digit after the decimal point names tenths and the second names hundredths. Three tenths and seven hundredths together make thirty-seven hundredths.

7/100 = 0.07
70/100 = 0.70

Seven hundredths and seventy hundredths are different amounts. In 0.07, the zero keeps the tenths place empty so the seven stays in the hundredths place.

One tenth is ten hundredths

Imagine the same whole divided into ten equal strips. Divide each strip into ten smaller equal pieces. The whole now has one hundred pieces, and each original strip contains ten of them. Thus 3/10 = 30/100: the amount stays the same while the pieces get smaller and more numerous.

Know what belongs in the blank

When the denominator 100 is already printed, write only the numerator. For 0.42 = □/100, write 42 in the box. Writing 0.42 there would give a different fraction. When the task asks for a decimal, write the complete decimal, including its point.

If a child writes 0.7 for 7/100: name the places aloud. Seven tenths is seventy hundredths; seven hundredths needs a zero in the tenths place.

A trailing zero can keep the value

The decimals 0.50 and 0.5 name the same amount: fifty hundredths equals five tenths. The key keeps two decimal places to show the hundredths connection. An equivalent decimal such as 0.5 is also correct when a decimal answer is requested. Removing the zero from 0.05 would change its value.

Explain the relationship

Use the working space for a hundred grid sketch, place-value words, or an equivalent fraction. Ask what changed in the notation and what stayed the same in the amount.

About these six questions

Each sheet has two fraction-to-decimal questions, two decimal-to-hundredths questions, and two tenths-to-hundredths questions. Hundredths numerators range from 1 to 99; tenths numerators range from 2 to 9. The original decimal forms keep two places.

Zero, one whole, values greater than one, and adding fractions are not generated here. This activity connects representations; it does not cover every part of the cited fraction standards.

Make a practice set

Choose what to print. Selecting both shows the answer key on screen and prints the questions followed by the answers.

Print materials

After the practice

Ask whether the blank needs a whole decimal or only a numerator. Explain why equivalent forms name the same amount.

More about fractions · Grade 4 worksheets

Grade 4 selected skill connection: 4.NF.C.5–6. See the Common Core grade guidance. This worksheet does not cover every requirement in the standard.