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Numbers and Operations in Base 10 Decimal Place Values 5.NBT.1 Facts & Worksheets

Numbers with decimals are characterized by having a whole number and a fractional number separated by a dot, which we call a decimal point.

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Worksheets /Math /Grade 5 (ages 10-11) /Numbers and Operations in Base 10 Decimal Place Values 5.NBT.1 Facts & Worksheets

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Numbers and Operations in Base 10 Decimal Place Values 5.NBT.1 Worksheets
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Numbers with decimals are characterized by having a whole number and a fractional number separated by a dot, which we call a decimal point.
Digits that come after decimal points are less than one.

See the fact file below for more information on the Numbers and Operations in Base 10 Decimal Place Values or alternatively, you can download our 21-page Numbers and Operations in Base 10 Decimal Place Values 5.NBT.1 worksheet pack to utilise within the classroom or home environment.

Key Facts & Information

LEARNING OBJECTIVE:

  • At the end of the lesson, students will be able to determine the place value of different digits in numbers with decimals and what these digits represent.

A NOTE FOR THE TEACHER

  • When working with decimals, take note of the following:
    • Always start by counting the number of decimal places.
    • Numbers to the right of a digit are always 1/10 that digit.
    • Numbers to the left of a digit are always 10 times that digit.

THEORY:

  • Numbers with decimals are characterized by having a whole number and a fractional number separated by a dot, which we call a decimal point.
  • Digits that come after decimal points are less than one.
  • The first digit after the decimal is what we call a tenth, or 1/10, which can be written as 0.1. After this, we have a hundredth, or 1/100, which can be written as 0.01. Lastly, we have a thousandth, or 1/1000, which can be written as 0.001. Tenths, hundredths, and thousandths are what we call place values.
  • Take, for example, 123.456
  • The following table shows the different place values of this number

  • In the example above, the digit 1 represents a value of 100, the digit 2 represents a value of 20, the digit 3 represents a value of 3, the digit 4 represents a value of 4/10 or 0.4, the digit 5 represents a value of 5/100 or 05, and the digit 6 represents a value of 6/1000 or 0.006
  • If you notice, as we move from left to right in a decimal number, the place value of the digits gets divided by 10. For example, we have to divide the tenths value or 1/10 by 10 to get 1/100 or 0.01, which is the hundredths place value. In contrast, as we move from right to left in a decimal number, the place value of the digits gets multiplied by 10.

Numbers and Operations in Base 10 Decimal Place Values 5.NBT.1 Worksheets

This is a fantastic bundle that includes everything you need to know about Numbers and Operations in Base 10 Decimal Place Values across 28 in-depth pages. These are ready-to-use worksheets that align with the Common Core CCSS code 5.NBT.1 for Numbers and Operations in Base 10 Decimal Place Values.

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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