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Numbers and Operations in Base Ten: Expanded and Written Form 5.NBT.3a Facts & Worksheets

Like any mathematical expression, decimals too can be written in word form and expanded form.

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Worksheets /Math /Grade 5 (ages 10-11) /Numbers and Operations in Base Ten: Expanded and Written Form 5.NBT.3a Facts & Worksheets

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Like any mathematical expression, decimals too can be written in word form and expanded form. To do this, it’s always helpful to start by determining the place values of each digit.

See the fact file below for more information on the Numbers and Operations in Base Ten: Expanded and Written Form 5.NBT.3a or alternatively, you can download our 28-page Numbers and Operations in Base Ten: Expanded and Written Form 5.NBT.3a 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 read and write decimals to thousandths using base-ten numerals, number names, and the expanded form.

A NOTE FOR THE TEACHER

  • When expanding decimals and writing them in word form, take note of the following:
    • If confused, always take note of the place values of the digits.
    • Check your spelling; it’s very easy to confuse TENTHS with TENS and HUNDREDS with HUNDREDTHS.
    • When writing in expanded form, don’t forget to add parenthesis.

THEORY:

  • Like any mathematical expression, decimals too can be written in word form and expanded form. To do this, it’s always helpful to start by determining the place values of each digit. Take, for example, the decimal number: 12.345

  • From the place value table, we can see that the following are present:
    • 1 ten, 2 ones, 3 tenths, 4 hundredths, and 5 thousandths.
  • In expanded form, we write this as the expression:
    • 345 = 1 ten + 2 ones + 3 tenths + 4 hundredths + 5 thousandths
  • With all these components, we can write the expanded form of 12.345 as:
    • 345 = (1 x 10) + (2 x 1) + (3 x 1/10) + (4 x 1/100) + (5 x 1/1000)
  • Now that we’ve established how to write a decimal in expanded form let’s now look at how we write a decimal number in written/word form. Using the same decimal number 12.345, we start by naming the decimal from left to right starting, with the whole number, which is twelve. After which, we add the word “and” to substitute for the decimal point. Finally, we read the numbers right of the decimal and state the place value of the digit farthest to the right. In the example, we’re given 3 tenths, 4 hundredths, and 5 thousandths, which when simplified, will simply give us three hundred forty-five thousandths.
  • Now that we have all components, we can now name the write the decimal in written form, which is the following:
    • Twelve and three hundred forty-five thousandths

Numbers and Operations in Base Ten: Expanded and Written Form 5.NBT.3a Worksheets

This is a fantastic bundle that includes everything you need to know about Numbers and Operations in Base Ten: Expanded and Written Form across 28 in-depth pages. These are ready-to-use worksheets that align with the Common Core CCSS code 5.NBT.3a for Numbers and Operations in Base Ten: Expanded and Written Form.

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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