Expanded form in math is a way of writing a number by breaking it down into the sum of the values of each digit according to its place value. This means expressing the number as the sum of each digit multiplied by its place value. For example, the number 943 in expanded form is written as: 943=900+40+3943=900+40+3943=900+40+3 Here, 900 represents the value of the digit 9 in the hundreds place, 40 represents the 4 in the tens place, and 3 represents the ones place
. To write a number in expanded form, you:
- Identify the place value of each digit.
- Multiply each digit by its place value.
- Write the sum of these values.
For instance, 1,234 in expanded form is: 1,234=1,000+200+30+41,234=1,000+200+30+41,234=1,000+200+30+4 Expanded form helps to understand the value of each digit in a number, making it easier to compare, round, and estimate numbers
. Note that zeros in the number can be omitted in the expanded form since they add no value. For example, 4,803 can be written as: 4,000+800+34,000+800+34,000+800+3 instead of including 000 explicitly
. In summary, expanded form shows the value of each digit in a number by expressing the number as a sum of its digits multiplied by their respective place values.