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Numbers and Operations – Fractions: Decimal Notation CCSS 4.NF.6 Facts & Worksheets

At the end of the lesson, the student will learn how to rewrite fractions with denominators of 10 and 100 (tenths and hundredths) into the decimal notation.

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Worksheets /Math /Grade 4 (ages 9-10) /Numbers and Operations – Fractions: Decimal Notation CCSS 4.NF.6 Facts & Worksheets

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Numbers and Operations - Fractions Decimal Notation CCSS 4.NF.6 Worksheets
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At the end of the lesson, the student will learn how to rewrite fractions with denominators of 10 and 100 (tenths and hundredths) into the decimal notation.

See the fact file below for more information on the decimal notation or alternatively, you can download our 27-page Numbers and Operations – Fractions: Decimal Notation CCSS 4.NF.6 worksheet pack to utilise within the classroom or home environment.

Key Facts & Information

LEARNING OBJECTIVE

  • At the end of the lesson, the student will learn how to rewrite fractions with denominators of 10 and 100 (tenths and hundredths) into the decimal notation.

A NOTE FOR THE TEACHER

  • When teaching decimal notation, take note of the following:
    • A tenth is similar to dividing a whole number by 10 (or moving the decimal point one place to the left).
    • A hundredth is similar to dividing a whole number by 100 (or moving the decimal point two places to the left).

THEORY

  • We learned that creating 1 whole with a tenth means adding 1/10 ten times.
  • Understanding this, we know that 1 whole can be made by 100 hundredths.
  • Similarly, creating a tenth is just dividing a whole into 10 equal parts.
  • Same with creating a hundredth, we divide a whole 100 times.
  • With this being said, we can understand the idea of decimals. A decimal is closely related to fractions since decimals also represent a portion of a whole.
  • Consider 0.1 and how it is equal to 1/10:
    • Adding 0.1 ten times will have a sum of the whole number 1.
    • Likewise, adding a tenth ten times will create a whole, which is 1.
    • Thus, we can understand that the fraction bar between the numerator and the denominator is a symbol for the division operation.
    • 1 ÷ 10 = 1/10 = a tenth = 0.1
    • Notice that dividing a whole number to 10 means shifting the decimal point one place value to the left.1.0 -> 0.1
    • The first number’s place after the decimal point is called the tenths place.
  • Consider 0.01 and how it is equal to 1/100:
    • Adding 0.01 a hundred times will have a sum of the whole number 1.
    • Likewise, adding a hundredth 100 times will create a whole, which is 1.
    • Understanding the fraction bar as a symbol for division, we know that:
    • 1 ÷ 100 = 1/100 = a hundredth = 0.01
    • Notice that dividing a whole number to 100 means shifting the decimal point two place values to the left.1.0 -> 0.01
    • The second number’s place after the decimal point is called the hundredths place.

Numbers and Operations – Fractions: Decimal Notation CCSS 4.NF.6 Worksheets

This is a fantastic bundle that includes everything you need to know about Numbers and Operations – Fractions: Decimal Notation across 27 in-depth pages. These are ready-to-use worksheets that align with the Common Core CCSS code 4.NF.6 for Numbers and Operations – Fractions: Decimal Notation.

Table of contents:

  • A lesson plan
  • Warm-up activity
  • Math theory explained
  • Assisted learning activities
  • Independent learning activities
  • Extension activities and games
  • Answer keys

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Use With Any Curriculum

These worksheets have been specifically designed for use with any international curriculum. You can use these worksheets as-is, or edit them using Google Slides to make them more specific to your own student ability levels and curriculum standards.

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