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Numbers and Operations – Fractions: Comparing Decimals CCSS 4.NF.7 Facts & Worksheets

At the end of the lesson, the student will learn everything about comparing decimals.

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Worksheets /Math /Grade 4 (ages 9-10) /Numbers and Operations – Fractions: Comparing Decimals CCSS 4.NF.7 Facts & Worksheets

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At the end of the lesson, the student will learn that a hundredth is less than a tenth. The student will also learn that there are equivalent values of a hundredth to a tenth (for example, 0.1 is equal to 0.10).

See the fact file below for more information on the comparing decimals or alternatively, you can download our 26-page Numbers and Operations – Fractions: Comparing Decimals CCSS 4.NF.7 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 that a hundredth is less than a tenth. The student will also learn that there are equivalent values of a hundredth to a tenth (for example, 0.1 is equal to 0.10)

A NOTE FOR THE TEACHER

  • When comparing decimals, take note of the following:
    • Remember that a hundredth is a smaller unit of a tenth.
    • A tenth is produced by shifting the decimal point one place to the left of the whole number (it is 1 ÷ 10). A hundredth is produced by shifting the decimal point two places to the left of the whole number (it is 1 ÷ 100).

THEORY

  • With our understanding of the place value chart, the place seen on the right side is smaller than the value of the place seen on the left side. For example, tens are greater than ones because tens are ten times the value of ones. This brings us to another understanding of the place value chart. As the place values progress from left to right, the values increase 10 times.
  • We learned that there are also place values found before the ones place separated by the decimal point. These are the place values:
  • Tenths and Hundredths
    • With the reasoning above, we can compare the values of tenths and hundredths by knowing that a tenth is ten times a hundredth.
    • Therefore, a hundredth is smaller than a tenth.
    • We also learned that dividing 1/10 by 10 will produce 1/100. Thus, a tenth is equal to 10 times of a hundredth.
    • Comparing the values of decimals can be made easier by converting them into being in the same place value.
  • Consider 0.1 being equal to 0.10:
    • We know that a tenth is equal to ten times of a hundredth or 10 x 0.01.
    • 10 x 0.01 means shifting the decimal point 1 place to the right.
    • -> 00.1 -> 0.10
  • Another way to convert a tenth to a hundredth is simply putting another zero to the right side of the tenths value:
    • -> 0.10
  • With this knowledge, we can compare decimal values that can be
  • greater than, less than, or equal to other decimal values.
  • You compare the numbers by comparing their place values:
  • 2 > 1.1 because 2 is higher than 1 in the tenths place.

Numbers and Operations – Fractions: Comparing Decimals CCSS 4.NF.7 Worksheets

This is a fantastic bundle that includes everything you need to know about Numbers and Operations – Fractions: Comparing Decimals across 26 in-depth pages. These are ready-to-use worksheets that align with the Common Core CCSS code 4.NF.7 for Numbers and Operations – Fractions: Comparing Decimals.

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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