## Expanding Numbers

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#### Study Guide Expanding Numbers Mathematics, Grade 3

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EXPANDING NUMBERS What Are Expanding Numbers? An expanding number is taking a larger number apart and showing each number’s total value. How to Expand Numbers: Think of the place value of each digit in a number. Take each digit out of the number and add the appropriate number of zeros after it so that it keeps its value. For example: 3,184 The number three is in the thousands place. If the three is taken out of the number, three zeros need to go behind it. The three will then look like this: 3,000. Continue on like this with all the digits in the number. These values all need to be added together. The three has been taken out and made into 3,000. Next is the number 1. Since this number is in the hundreds place, it turns into 100. The number 8 will become 80 since it is in the tens place. The number 4 will stay the same since it is in the ones place. Therefore, the number 3,184 in expanded form is 3,000 + 100 + 80 + 4. © Copyright NewPath Learning. All Rights Reserved. Permission is granted for the purchaser to print copies for non-commercial educational purposes only. Visit us at www.NewPathLearning.com.
Try This! Write the following numbers in their expanded form on the line. 4,297 _____________________________________ 8,326 _____________________________________ 5,462 _____________________________________ Write the following numbers in proper form. 8,000 + 200 + 30 + 1 _________________________ 2,000 + 500 + 40 + 7 _________________________ 6,000 + 900 + 20 + 5 _________________________ © Copyright NewPath Learning. All Rights Reserved. Permission is granted for the purchaser to print copies for non-commercial educational purposes only. Visit us at www.NewPathLearning.com.