Expanded notation is a way to show a number by breaking down each number according to each digit. It is a very simple process, which is specially designed for 4th-grade kids. We have provided four examples regarding this. In each example, kids need to write an expanded notation of every number. Depending on the count of a number, kids need to write down the expanded notations. It is like a game for kids they will enjoy performing this task.

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Write Numbers Up To 1,00,000 Using Expanded Notation

Read More: Convert Expanded Notation to Standard Form Place Value Worksheets Grade 3

Convert Standard to Expanded Notation Place Value Worksheets For Grade 4

 

  • 12,468 = 1 x 10000 + 2 x 1000 + 4 x 100 + 6 x 10 + 8 x 1
  • 6,589 = 6 x 1000 + 5 x 100 + 8 x 10 + 9 x 1
  • 5,237 = 5 x 1000 + 2 x 100 + 3 x 10 + 7 x 1
  • 24,461 = 2 x 10000 + 4 x 1000 + 4 x 100 + 6 x 10 + 1 x 1
  • 32,936 = 3 x 10000 + 2 x 1000 + 9 x 100 + 3 x 10 + 6 x 1
  • 3,213 = 3 x 1000 + 2 x 100 + 1 x 10 + 3 x 1
  • 48,142 = 4 x 10000 + 8 x 1000 + 1 x 100 + 4 x 10 + 2 x 1
  • 1,824 = 1 x 1000 + 8 x 100 + 2 x 10 + 4 x 1
  • 581 = 5 x 100 + 8 x 10 + 1 x 1

This exercise is designed for the 4th-grade kids. In this exercise, kids need to check every number before writing their expanded notation. They need to count every digit, like if a number has five digits, so the first step will start from 10000. Let us understand by an example: here we are taking the first number 12,468. As we can see, this number has a total of five digits. So the first step will start from 10000 and then this number will be decreased.

Convert Standard to Expanded Notation Place Value Worksheets For Grade 4

  • 4,737 = 4 x 1000 + 7 x 100 + 3 x 10 + 7 x 1
  • 44,635 = 4 x 10000 + 4 x 1000 + 6 x 100 + 3 x 10 + 5 x 1
  • 72,594 = 7 x 10000 + 2 x 1000 + 5 x 100 + 9 x 10 + 4 x 1
  • 7,826 = 7 x 1000 + 8 x 100 + 2 x 10 + 6 x 1
  • 54,738 = 5 x 10000 + 4 x 1000 + 7 x 100 + 3 x 10 + 8 x 1
  • 6,316 =  6 x 1000 + 3 x 100 + 1 x 10 + 6 x 1
  • 15,327 = 1 x 10000 + 5 x 1000 + 3 x 100 + 2 x 10 + 7 x 1
  • 843 = 8 x 100 + 4 x 10 + 3 x 1
  • 91,579 = 9 x 10000 + 1 x 1000 + 5 x 100 + 7 x 10 + 9 x 1

This exercise will help kids to develop number science and improve their math skills. So the process will be the same that was performed above. Kids need to check every digit carefully because the whole process depends on the digit. So they need to perform according to the numbers.

 

Convert Standard to Expanded Notation Place Value Worksheets For Grade 4

  • 1,580 = 1 x 1000 + 5 x 100 + 8 x 10
  • 76,381 = 7 x 10000 + 6 x 1000 + 3 x 100 + 8 x 10 + 1 x 1
  • 6,793 = 6 x 1000 + 7 x 100 + 9 x 10 + 3 x 1
  • 9,684 = 9 x 1000 + 6 x 100 + 8 x 10 + 4 x 1
  • 84,168 = 8 x 10000 + 4 x 1000 + 1 x 100 + 6 x 10 + 8 x 1
  • 717 = 7 x 100 + 1 x 10 + 7 x 1
  • 93,574 = 9 x 10000 + 3 x 1000 + 5 x 100 + 7 x 10 + 4 x 1
  • 8,265 = 8 x 1000 + 2 x 100 + 6 x 10 + 5 x 1
  • 66,843 = 6 x 10000 + 6 x 1000 + 8 x 100 + 4 x 10 + 3 x 1

This exercise follows the same process that we have done above. For example, 1580 has a digit, so as per the rule, the first step will start according to the count of the numbers. So it will start from 1000 and then decrease.

 

Convert Standard to Expanded Notation Place Value Worksheets For Grade 4

  • 72,162 = 7 x 10000 + 2 x 1000 + 1 x 100 + 6 x 10 + 2 x 1
  • 42,539 = 4 x 10000 + 2 x 1000 + 5 x 100 + 3 x 10 + 9 x 1
  • 19,356 = 1 x 10000 + 9 x 1000 + 3 x 100 + 5 x 10 + 6 x 1
  • 5,482 = 5 x 1000 + 4 x 100 + 8 x 10 + 2 x 1
  • 3,639 = 3 x 1000 + 6 x 100 + 3 x 10 + 9 x 1
  • 54,684 = 5 x 10000 + 4 x 1000 + 6 x 100 + 8 x 10 + 4 x 1
  • 22,815 = 2 x 10000 + 2 x 1000 + 8 x 100 + 1 x 10 + 5 x 1
  • 4,352 = 4 x 1000 + 3 x 100 + 5 x 10 + 2 x 1
  • 85,785 = 8 x 10000 + 5 x 1000 + 7 x 100 + 8 x 10 + 5 x 1

Doing the same exercise with different numbers can enhance kid’s math skills and grab their attention because once they know the process, they will find interest in this exercise. So the process will be the same. And we hope after completing these exercises, kids will create their queries and solve them without taking any help.

Expanded notation can help kids to develop number sense and can help to recognize the difference between large and small numbers. It will also help them to improve their math skills because breaking numbers according to their digits will help them to learn addition and subtraction. So we hope this topic will help 4th-grade kids learn expanded notation.

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