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

Convery decimal number is a type of process where we need to convert the normal decimal number form to its expanded form. It is a simple process that helps kids learn about decimal numbers and how numbers are converted. Below, there are a total of four exercises and each exercise contains nine queries. So kids need to complete all the queries.

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## Write The Decimal Numbers From Normal Form To Expanded Notation

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

**2.37**= 2 x 1 + 3 x 0.1 + 7 x 0.01**20.4**= 2 x 10 + 4 x 0.1**163.638**= 1 x 100 + 6 x 10 + 3 x 1 + 6 x 0.1 + 3 x 0.01 + 8 x 0.001**0.174**= 1 x 0.1 + 7 x 0.01 + 4 x 0.001**0.583**= 5 x 0.1 + 8 x 0.01 + 3 x 0.001**0.105**= 1 x 0.1 + 5 x 0.001**725.319**= 7 x 100 + 2 x 10 + 5 x 1 + 3 x 0.1 + 1 x 0.01 + 9 x 0.001**0.372**= 3 x 0.1 + 7 x 0.01 + 2 x 0.001**51.1**= 5 x 10 + 1 x 1 + 1 x 0

This concept will improve kids’ mathematical skills. Above, we have a table that contains a total of nine quaries, and for each quary, we have to follow some rules. So to convert normal to expended form, we have to multiply the number by 1 and 0.1 according to their place values. Let’s understand through an example: 2.37. So the first step is to solve the number before the decimal by multiplying by 1 and multiplying by 0.1 after the decimal. After calculating we need to add both parts. Now check if the calculation is equal to the given number which means we got the correct answer. So the final expanded answer is 2 x 1 + 3 x 0.1 + 7 x 0.01.

**2.61**= 2 x 1 + 6 x 0.1 + 1 x 0.01**0.468**= 4 x 0.1 + 6 x 0.01 + 8 x 0.001**0.105**= 1 x 0.1 + 5 x 0.001**815.637**= 8 x 100 + 1 x 10 + 5 x 1 + 6 x 0.1 + 3 x 0.01 + 7 x 0.001**0.507**= 5 x 0.1 + 7 x 0.001**13,721.1**= 1 x 10000 + 3 x 1000 + 7 x 100 + 2 x 10 + 1 x 1 + 1 x 0.1**35.4**= 3 x 10 + 5 x 1 + 4 x 0.1**91.1**= 9 x 10 + 1 x 1 + 1 x 0.1**82,174.3**= 8 x 10000 + 2 x 1000 + 1 x 100 + 7 x 10 + 4 x 1 + 3 x 0.1

In this exercise, we have the same total of nine queries with different numbers, but the process will be the same. We need to multiply both numbers after decimal and before according to their place values and then add both parts. Let’s understand through an example: 82,174.63. Now the first step is to multiply numbers before decimal according to their placing value. As we can see 8 is in ten thousand, 2 is in thousand, and the rest will be accordingly. And now multiply after decimal so the 3 is in ones. The final expanded form is 8 x 10000 + 2 x 1000 + 1 x 100 + 7 x 10 + 4 x 1 + 3 x 0.1

**6,293.7**= 6 x 1000 + 2 x 100 + 9 x 10 + 3 x 1 + 7 x 0.1**1.88**= 1 x 1 + 8 x 0.1 + 8 x 0.01**50.6**= 5 x 10 + 6 x 0.1**341.742**= 3 x 100 + 4 x 10 + 1 x 1 + 7 x 0.1 + 4 x 0.01 + 2 x 0.001**2.17**= 2 x 1 + 1 x 0.1 + 7 x 0.01**7,121.95**= 7 x 1000 + 1 x 100 + 2 x 10 + 1 x 1 + 9 x 0.1 + 5 x 0.01**0.551**= 5 x 0.1 + 5 x 0.01 + 1 x 0.001**3,911.14**= 3 x 1000 + 9 x 100 + 1 x 10 + 1 x 1 + 1 x 0.1 + 4 x 0.01**706.342**= 7 x 100 + 6 x 1 + 3 x 0.1 + 4 x 0.01 + 2 x 0.001

This concept of converting decimal numbers to their normal form will be helpful for kids, it will develop a strong number sense and make math easy and convivial. In this exercise, kids need to complete all the queries by following the guidelines. If kids face any problem during this task, they can see the solved example above.

**57.21**= 5 x 10 + 7 x 1 + 2 x 0.1 + 1 x 0.01**1,633.06**= 1 x 1000 + 6 x 100 + 3 x 10 + 3 x 1 + 6 x 0.01**5,204.75**= 5 x 1000 + 2 x 100 + 4 x 1 + 7 x 0.1 + 5 x 0.01**2,730.12**= 2 x 1000 + 7 x 100 + 3 x 10 + 1 x 0.1 + 2 x 0.01**41.19**= 4 x 10 + 1 x 1 + 1 x 0.1 + 9 x 0.01**3,856.07**= 3 x 1000 + 8 x 100 + 5 x 10 + 6 x 1 + 7 x 0.01**94.3**= 9 x 10 + 4 x 1 + 3 x 0.1**1,044.31**= 1 x 1000 + 4 x 10 + 4 x 1 + 3 x 0.1 + 1 x 0.01**47.3**= 4 x 10 + 7 x 1 + 3 x 0.1

We hope you have completed the above task and now you are enthusiastic and ready to solve this exercise. But this exercise is a little harder than the previous one. Remember! if you know the process, no matter how hard the exercise is, you can solve even harder problems. So we hope kids will solve this exercise without any help.

Greeting for your work kids. We assume that you have solved all the queries without any support and you have learned a lot by our worksheet. We always want kids to move forward into their future, and our concept of converting decimal numbers to their expanded form is helpful for kids we believe kids will like our like and it is helpful for their advanced math.

**Read More:**

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