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Decimals in Numeric, Word, and Expanded Form

5.NBT.A.3.A
Answer Keys Here

Aligned To Common Core Standard:

Grade 5 Base Ten - 5.NBT.A.3.A

How to write the word form of a decimal - When you learn how to solve decimal numbers, you can learn writing decimal numbers by using words as well. Mentioning a decimal point in the whole decimal can be denoted by Decimal, AND or Point. Now, when you have learned that; you just need to follow the given steps. Step 1: Firstly, you need to read the digits to the left of the point as a number. Let us take an example of the decimal number 14.564. The left digits read shows fourteen. Step 2: Next, you need to write the decimal point on a preferred name of your choice. Let us assume that you chose the AND as your preferred name for the point. So up till now, the example can be written as Fourteen AND. Step 3: Read the digits left on the right of the decimal point as a number as well. Now, the example becomes Fourteen AND Five Hundred and Sixty-Four. Step 4: Now, you have to write the name of the place value of the last digit. In the present example, the last digit is 4, and its place value is thousandths. The example can be written as Fourteen AND Five Hundred and Sixty-Four Thousandths.

Printable Worksheets And Lessons





Homework Sheets

Time to write some very large numbers in expanded form and words.

  • Homework 1 - Write this number in expanded form 826.86. We show you the contracted expanded form.
  • Homework 2 - Write four hundred thirty-two and six tenths in numeric form. Make sure to account for each place value.
  • Homework 3 - Write 243.357 in words. You will need to make sure you account for each place.



Practice Worksheets

In these sheets we flip flop between all the skills.

  • Practice 1 - This can ask you to convert values to any form. Make sure you are well practiced up.
  • Practice 2 - The focus here is expanded form. Make sure you use the correct number of zeroes.
  • Practice 3 - The focus is numeric and word form. You can flip flop between them as needed.



Math Skill Quizzes

There should be more than enough space to work with. Some people that write in large letters and numbers might have an issue.

  • Quiz 1 - A full review of what was covered. This one is well written.
  • Quiz 2 - This is a more wordy sheet.
  • Quiz 3 - Take this quiz deeper and get some extra work along the way..


Quick Explanation on Each Format of Writing a Value

There are many different methods we can use to express the concept of value. The way in which we express this value is referred to as the form of notation that we use. Take the value of 254 for instance. When written as a number value, like 254, we call this the standard or numeric form of the value. To this point we have had the ability to convert this value in the word form by making sure that we account for each place value. In this specific problem (254) we need to make sure that we signify a value for the hundreds, tens, and ones place when we are converting it to word form. We would write this as two hundred (the hundreds place) fifty (the tens place) and four (the ones place). This leads us to the last form of notation that we will explore here, expanded form. Expanded form just states the written place values in numeric form. If we work off of this exercise, we will quickly see where this is going: two hundred (200) fifty (50) and four (4) or 200 + 50 + 4. In the real world, the expanded form of values is used in the financial world to explain and keep consistently accurate counts of values.