Q:
# How Do You Write Numbers in Expanded Form?

To write a number in expanded form, break apart a number, and write it as the sum of each place value. For example, 8324 = 8000 + 300 + 20 + 4. Decimals may also be expanded in a similar format: 0.239 = 0.2 + 0.03 + 0.009.

Continue Reading
Credit:
Kristin Lee
Getty Images

Expansion may be made simpler for teaching purposes or for beginners by setting up a chart or by first expressing the number using words.

The chart method uses a chart with the various place value names, and the number is written correctly into the chart. Multiply each digit by the appropriate power of 10 for the place value, before listing all values as a sum. For instance, 4827.65 expands as such:

Thousands: 4 x 1000 = 4000.

Hundreds: 8 x 100 = 800.

Tens: 2 x 10 = 20.

Units: 7 x 1 = 7.

Tenths: 6 x 1/10 = 0.6.

Hundredths: 5 x 1/100 = 0.05.

4000 + 800 + 20 + 7 + .6 + 0.05.

For the word method, write the number first using only words, and express each part individually. The sum is the expanded form of the number. For example, 4827.65 is written as "four thousand, eight hundred, twenty seven, six tenths, and five-hundredths," resulting in 4000 + 800 + 20 + 7 + 0.6 + 0.05.

Learn more about Numbers-
Q:
## How Do You Write Numbers in Standard Form?

A: The standard form of a decimal number places the decimal point after the first digit and then reflects the true size of the number by multiplying it by the... Full Answer >Filed Under: -
Q:
## What Is Number and Word Notation?

A: In math, number and word notation is simply writing the significant digits of a large number and using words for the place value. For example, the number 4... Full Answer >Filed Under: -
Q:
## What Are Place Values in Mathematics?

A: A place value is the value of the place of the digit in a number. The value of each place is 10 times the place to its right. For instance, a digit in the ... Full Answer >Filed Under: -
Q:
## What Are Some Facts About the Number 16?

A: The number 16 is an even number and is the only integer that has the form xy=yx, where x and y are different numbers (2 and 4). Another fact is that the ba... Full Answer >Filed Under: