Understanding the concept of Decimal Number conversion is crucial for kids; it will enhance their problem-solving skills. In this worksheet, kids will learn how to convert the expanded form into their normal form. Below, we have tables, and in each table, we have nine queries that must be performed. So, kids, keep your energy high because you will learn a concept that will help you learn math easily.

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Build The Decimal Numbers From Expanded Notation To Normal Form

Read More:  Convert Expanded to Standard Notation Place Value Worksheet For Grade 4

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

  • 3 × 1 + 6 × 0. 1 + 9 × 0.01 = 3.69
  • 4 × 10 + 7 × 1 + 1 × 0. 1 = 47.1
  • 6 × 10000 + 2 × 1000 + 5 × 100 + 8 × 0. 1 = 62,500.8
  • 1 × 100 + 5 × 10 + 1 × 0. 1 + 7 × 0.01 = 150.17
  • 2 × 1 + 8 × 0. 1 + 6 × 0.01 = 2.86
  • 9 × 0. 1 + 2 × 0.01 + 2 × 0.001 = 0.922
  • 6 × 10 + 4 × 1 + 8 × 0. 1 + 7 × 0.01 + 3 × 0.001 = 64.873
  • 9 × 1000 + 8 × 10 + 1 × 1 + 7 × 0. 1 + 3 × 0.01 = 9,081.73
  • 9 × 0. 1 + 6 × 0.01 + 7 × 0.001 = 0.967

In this exercise, we have a table above and in the table, we have a total of nine queries that need to be performed. It is a simple calculation process, that helps kids understand basic mathematical equations. So the first step is to do the calculation and then put the answer into the answer box. Let’s understand through an example: 3 × 1 + 6 × 0. 1 + 9 × 0.01. As we see it is a simple calculation; we need to calculate all the numbers according to their signs and then put the answer into the answer table. So after solving this, we will get 3.69, which is the final answer in the normal form.

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

  • 5 x 10 + 4 x 1 + 1 x 0. 2 + 3 x 0.01 = 54.23
  • 8 x 100 + 9 x 10 + 5 x 1 + 4 x 0. 1 = 895.4
  • 2 × 0. 1 + 4 × 0.01 + 6 × 0.001 = 0.246
  • 9 × 1 + 1 × 0. 1 + 7 × 0.01 = 9.17
  • 8 × 1000 + 2 × 10 + 3 × 1 + 6 × 0.01 = 8,023.06
  • 4 × 10 + 3 × 1 + 1 × 0. 1 + 7 × 0.01 + 6 × 0.001 = 43.176
  • 3 × 10000 + 9 × 1000 + 8 × 100 + 1 × 0. 1 = 39800.1
  • 7 × 1000 + 5 × 10 + 4 × 1 + 5 × 0. 1 + 6 × 0.01 = 7,054.56
  • 2 × 0. 1 + 4 × 0.01 + 5 × 0.001 = 0.245

We hope kids are enjoying doing these queries. In this exercise, we have to solve the queries in the same way that was solved above. We need to perform the basic calculations and find out the answer. Remember! The answer should be in a normal form because we are converting expanded to normal.

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

  • 3 × 100 + 9 × 10 + 1 × 0. 1 + 5 × 0.01 = 390.15
  • 7 × 10 + 5 × 1 + 9 × 0. 1 + 7 × 0.01 = 75.97
  • 9 × 0. 1 + 7 × 0.01 + 3 × 0.001 = 0.973
  • 5 × 1 + 6 × 0. 1 + 1 × 0.01 = 5.61
  • 8 × 1 + 4 × 0. 1 + 2 × 0.01 = 8.42
  • 1 × 10 + 4 × 1 + 5 × 0. 1 = 14.5
  • 6 × 1000 + 1 × 10 + 5 × 1 + 5 × 0. 1 + 7 × 0.01 = 6,015.57
  • 8 × 10000 + 7 × 1000 + 2 × 100 + 4 × 0. 1 1 = 87,200.44
  • 1 × 1000 + 1 × 10 + 3 × 1 + 8 × 0. 1 + 4 × 0.01 = 1,013.84

Kids! Be ready to perform this exercise. In this exercise, kids need to complete all the tasks without any help. We also want kids to perform this exercise independently. It will develop good number sense and help them to understand the basic mathematical calculation.

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

  • 7 × 0. 1 + 2 × 0.01 + 1 × 0.001 = 0.721
  • 9 × 10 + 1 × 1 + 5 × 0. 1 = 91.5
  • 1 × 100 + 5 × 10 + 8 × 1 + 4 × 0. 1 + 3 × 0.01 = 158.43
  • 9 × 1 + 2 × 0. 1 + 6 × 0.01 = 9.26
  • 1 × 1000 + 6 × 10 + 2 × 1 + 4 × 0. 1 + 5 × 0.01 = 1,062.45
  • 9 × 10000 + 2 × 1000 + 6 × 100 + 7 × 0. 1 1 = 92,600.77
  • 7 × 1 + 1 × 0. 1 + 6 × 0.01 = 7.16
  • 1 × 10000 + 3 × 1000 + 7 × 100 + 3 × 0. 1 1 = 13,700.33
  • 4 × 1000 + 8 × 10 + 7 × 1 + 5 × 0. 1 + 2 × 0.01 = 4,087.52

We hope the kids have completed the above task, and now they are ready to handle this exercise. This exercise is a little harder than the previous one, but we believe kids have learned our concept and they will perform this task as well.

If you guys are reading this, it means you have completed all the tasks. Congratulations, and we are happy to know that you have performed all the above tasks. Solving queries independently will boost your confidence and encourage you to handle more critical problems. We hope our concept is helpful for kids and they have learned the basics of calculation and number sense.

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Grade 5, Math

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