In expanded form, a decimal number is written as the sum of each of its digits, multiplied by the value of the digit’s place. For example, the number 83.34 can be expanded as follows:
80 + 3 + 0.3 + 0.04
Breaking this down further:
- The digit 8 is in the tens place, so it represents 80
- The digit 3 is in the ones place, so it represents 3
- The digit 3 is in the tenths place, so it represents 0.3
- The digit 4 is in the hundredths place, so it represents 0.04
Adding these values together gives the original number, 83.34. Expanded form is a way to understand the decimal place value of digits in a number.
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