Welcome to the worksheet, This worksheet is specially designed for 5th graders. In this, kids will learn to convert decimal numbers to their expanded version. We are very excited to share this worksheet with you. It will help kids by making them confident in math. We want kids to solve the below exercises with high enthusiasm.

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Convert The Decimal Numbers In Normal Form To Expanded Form

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Convert Decimal Numbers (Normal to Expanded Form) Place Value Worksheet for Grade 5

  • 2.17 = 2 + 0.1 + 0.07
  • 1.8 = 1 + 0.8
  • 80.526 = 80 + 0.5 + 0.02 + 0.006
  • 25,873.7 = 20,000 + 5,000 + 800 + 70 + 3 + 0.7
  • 74.2 = 70 + 4 + 0.2
  • 240.126 = 200 + 40 + 0.1 + 0.02 + 0.006
  • 32.2 = 30 + 2 + 0.2
  • 8,434.3 = 8,000 + 400 + 30 + 4 + 0.3
  • 9.64 = 9 + 0.6 + 0.04

This is the first exercise that we need to perform. In the above table, we have a total of nine queries, which can be solved by following some rules. Let’s have a look at the rules. So the first step is to multiply numbers before decimals according to their place value, and multiply numbers after decimals with 0.1 and their place value. Let’s understand through an example: 2.17. As we can see before, decimal 2 is in one place, so multiply 2 x 1. And now look at numbers before decimals, and we can see 1 is in one place and 7 is in tenth place. So multiply 0.1 x 1, and 0.01 x 7. Now add and combine all the resulting numbers: 2 x 1 + 0.1 x 1 + 7 x 0.01. So the final answer is 2 + 0.1 + 0.07.

Convert Decimal Numbers (Normal to Expanded Form) Place Value Worksheet for Grade 5

  • 0.311 = 0.3 + 0.01 + 0.001
  • 18.6 = 10 + 8 + 0.6
  • 912.647 = 900 + 10 + 2 + 0.6 + 0.04 + 0.007
  • 3,741.2 = 3,000 + 700 + 40 + 1 + 0.2
  • 982.13 = 900 + 80 + 2 + 0.1 + 0.03
  • 25.5 = 20 + 5 + 0.5
  • 1.31 = 1 + 0.3 + 0.01
  • 0.936 = 0.9 + 0.03 + 0.006
  • 9,516.2 = 9,000 + 500 + 10 + 6 + 0.2

This concept exercise will help kids learn more about decimal numbers. In this exercise, we have a total of nine queries that need to be performed. These queries also follow the same rules. We need to multiply numbers according to their place value and then put the answer into the answer box. We hope kids will perform this exercise with the same energy.

Convert Decimal Numbers (Normal to Expanded Form) Place Value Worksheet for Grade 5

  • 3.7 = 3 + 0.7
  • 1.52 = 1 + 0.5 + 0.02
  • 2,391.31 = 2,000 + 300 + 90 + 1 + 0.3 + 0.01
  • 92.142 = 90 + 2 + 0.1 + 0.04 + 0.002
  • 114.422 = 100 + 10 + 4 + 0.4 + 0.02 + 0.002
  • 62,726.5 = 60,000 + 2,000 + 700 + 20 + 6 + 0.5
  • 7.13 = 7 + 0.1 + 0.03
  • 340.216 = 300 + 40 + 0.2 + 0.01 + 0.006
  • 0.823 = 0.8 + 0.02 + 0.003

Solving queries again and again will help kids boost their confidence. In this exercise, kids have to complete the above-mentioned task. We believe kids are ready to do this exercise. If they get stuck while solving this exercise, they can see the solved example, which helps them to understand the process.

Convert Decimal Numbers (Normal to Expanded Form) Place Value Worksheet for Grade 5

  • 2,203.01 = 2,000 + 200 + 3 + 0.01
  • 2.22 = 2 + 0.2 + 0.02
  • 5,035.73 = 5,000 + 30 + 5 + 0.7 + 0.03
  • 31.4 = 30 + 1 + 0.4
  • 67.1 = 60 + 7 + 0.1
  • 60.546 = 60 + 0.5 + 0.04 + 0.006
  • 404.112 = 400 + 4 + 0.1 + 0.01 + 0.002
  • 3.79 = 3 + 0.7 + 0.09
  • 6,619.16 = 6,000 + 600 + 10 + 9 + 0.1 + 0.06

We hope the kids have solved the above query. We have a challenge for them. In this exercise, the numbers are harder than the previous ones. But we believe kids have understood the process and now they are ready to accept this challenge. We will be very happy to see if kids solve this exercise without any help.

Congratulations kids! for completing the above challenge. We are fortunate to know that you have learned our concept and you have solved all the queries. Believe us, solving these queries without any help will boost your confidence and encourage you to handle more advanced math concepts. All the best! kids, and best wishes for your future.

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