Fractions to Decimals Matching

4th Grade MathFractions and Decimals4 pages

About this worksheet

Matching practice that pins fractions with denominators 10 and 100 to their decimal forms, written for 4th grade against Common Core 4.NF.6. The opening table asks students to sort 7/10, 7/100, 73/100, 3/10, 30/100 and 3/100 across options that include both 0.3 and 0.30. A number line with points at 0.2, 0.6 and 0.8 wants fraction and decimal names for each, and a completion table runs tenths, hundredths and decimal notation side by side. Question 14 asks whether Maya is right that 6/10 and 60/100 share the value 0.6. Answers included.

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Curriculum objectives covered

4.NF.6

Use decimal notation for fractions with denominators 10 or 100. For example, rewrite 0.62 as 62/100; describe a length as 0.62 meters; locate 0.62 on a number line diagram.

All fourteen questions, from the A-to-F matching to locating 0.2, 0.6 and 0.8 on the number line, mirror the standard's rewrite-and-locate wording.

What's inside this worksheet

Part 1: Match the Equivalents

Six fractions match to lettered decimals A to F. With 0.3, 0.30 and 0.03 all on offer, the zeros have to be read, not guessed.

Part 2: Number Line Match-Up

Points A, B and C sit at 0.2, 0.6 and 0.8 on a number line ticked in tenths. Each point needs its fraction in tenths and its decimal.

Part 3: Complete the Matching Sets

Rows pair a tenths fraction, a hundredths fraction and a decimal, with different cells blank each time: 4/10 and 40/100 need their decimal, while 20/100 and 0.2 need their tenths form.

Part 4: Explain the Match

Maya claims 6/10 and 60/100 both equal 0.6. Students judge her reasoning in writing using tenths and hundredths.

How teachers use it

Ten-minute starter

Part 1 alone works as bell work. Anyone who matches 30/100 to 0.03 needs a place value conversation that day.

Vocabulary anchor

Read Part 2 aloud with the words tenths and hundredths every time. The number line only shows tenths, which is the point.

Writing in math

Use question 14 as the week's journal prompt. A correct explanation has to say that 6 tenths and 60 hundredths name the same amount.

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