In expanded form, a number is written as the sum of each of its digits, multiplied by the value of the digit’s place. For example, the number 35713 can be expanded as follows:
30000 + 5000 + 700 + 10 + 3
Breaking this down further:
- The digit 3 is in the ten thousands place, so it represents 30000
- The digit 5 is in the thousands place, so it represents 5000
- The digit 7 is in the hundreds place, so it represents 700
- The digit 1 is in the tens place, so it represents 10
- The digit 3 is in the ones place, so it represents 3
Adding these values together gives the original number, 35713. Expanded form is often used to help understand the place value of digits in a number, and can be helpful when working with larger numbers.
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