CurriculumGrade 4Mathematics

Decimal Notation for Fractions

Aligned to 4.NF.C.6 — Common Core State Standards for Mathematics.

What this lesson teaches

Fractions with a denominator of 10 or 100 can be written as decimals. One tenth is 0.1 and one hundredth is 0.01. The decimal and the fraction are just two ways to write the same amount, which is why a dime is 1/10 of a dollar.

Worked example

Write 3/10 as a decimal. Three tenths means 0.3. And 7/100 is written as 0.07.

Practice questions

  1. Write 9/10 as a decimal.
  2. Which is larger, 0.5 or 0.05?
  3. A nickel is 5 cents. Write that as a fraction of a dollar.

Watch the lesson

Every lesson comes with a video taught in English and Spanish — the same video the QR code in the printed workbook opens.

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En español

Notación Decimal para Fracciones

Las fracciones con denominador 10 o 100 se pueden escribir como decimales. Un décimo es 0.1 y un centésimo es 0.01. El decimal y la fracción son solo dos formas de escribir la misma cantidad, por eso un décimo de peso equivale a 1/10 del peso.

Ejemplo: Escribe 3/10 como decimal. Tres décimos equivale a 0.3. Y 7/100 se escribe como 0.07.

More Number & Operations—Fractions lessons

Equivalent Fractions4.NF.A.1Comparing Fractions4.NF.A.2Adding and Subtracting Like Fractions4.NF.B.3Multiplying a Fraction by a Whole Number4.NF.B.4Tenths and Hundredths Together4.NF.C.5Comparing Decimals4.NF.C.7

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