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Numbers and Operations in Base Ten: Moving the Decimal CCSS 5.NBT.2 Facts & Worksheets

When multiplying and dividing whole numbers by powers of ten, we simply have to move the decimal point to the left or the right depending, on (1) the operation given, and (2) the exponent of the base ten.

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Worksheets /Math /Grade 5 (ages 10-11) /Numbers and Operations in Base Ten: Moving the Decimal CCSS 5.NBT.2 Facts & Worksheets

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Numbers and Operations in Base Ten Moving the Decimal 5.NBT.2 Worksheets
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When multiplying and dividing whole numbers by powers of ten, we simply have to move the decimal point to the left or the right depending, on (1) the operation given, and (2) the exponent of the base ten.

See the fact file below for more information on the Numbers and Operations in Base Ten: Moving the Decimal or alternatively, you can download our 28-page Numbers and Operations in Base Ten: Moving the Decimal CCSS 5.NBT.2 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 move the decimal point in a given number when that number is multiplied or divided by varying powers of ten. The students will also be able to explain patterns in the number of zeros of the product when multiplying a number by powers of 10.

A NOTE FOR THE TEACHER

  • When moving the decimal point, take note of the following:
    • Start by determining where the decimal point is located.
    • Check if the operation being used is multiplication or division.
    • Double-check if you moved the decimal the right number of times.

THEORY:

  • When multiplying and dividing whole numbers by powers of ten, we simply have to move the decimal point to the left or the right depending, on (1) the operation given, and (2) the exponent of the base ten.
  • We move the decimal point to the right when dealing with multiplication, while on the other hand, we move the decimal point to the left when dealing with division.
  • The number of times you move the decimal point can be determined by the exponent of base ten. For example, if we multiply a number by 103, we move the decimal three times because the exponent given is 3. In other cases, if the multiplier is not written in exponential form, we move the decimal-based on the number of zeroes of the multiplier. For example, if we multiply a number by 10 000, we move the decimal 4 times because the number of zeros in 10 000 is 4.
  • When we move the decimal to the right, we usually add zeros to fill in the missing place values. For example: when we multiply 25.6 by 100, we know that we have to move the decimal to the right since the operation given was multiplication, and we know that we have to move the decimal point two times as 100 has two zeros. Therefore, 25.6 x 100 = 2560. The underlined zero is the placeholder zero we added to fill in the missing place value.
  • Take, for example,  3560 ÷ 104
  • Because it’s division, we move the decimal to the left, and because the exponent of 10 is 4, we move the decimal point four times to the left. When dealing with whole numbers, remember that their decimal point is always found after the one digit. We add a zero before the decimal point to fill in the missing one’s place value.

Numbers and Operations in Base Ten: Moving the Decimal CCSS 5.NBT.2 Worksheets

This is a fantastic bundle that includes everything you need to know about Numbers and Operations in Base Ten: Moving the Decimal across 28 in-depth pages. These are ready-to-use worksheets that align with the Common Core CCSS code 5.NBT.2 for Numbers and Operations in Base Ten: Moving the Decimal.

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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