Welcome to the Expanded Form Page.
The most important thing to remember when doing expanded form is paying close attention to place value. If you learn to organize your information like the problems completed below, it is very unlikely that you will make a mistake.
Example #1 Putting Expanded form (using decimals) back into standard form
As you can see in problem #1, it begins with 4 tens (40). You will begin by putting the 4 in the tens place. Then, it has a 3 hundredths (.03). You would put a 3 in the hundredths place. Lastly, it has a 2 in the thousandths (.002). When you are finished, you would fill in the remaining columns with zeros.
Example #2 Putting Expanded form using fractions back into standard form
In problem #2, you will continue to follow the same format as problem #1. Now you will be dealing with fractions. It begins with 6 ones (6), so you would put a 6 in the ones column. Then it has 4 tenths, so you put a 4 in the tenths column (.4). Next, it has a 7 in the hundredths column (.07). Finally, it has a 6 in the thousandths column (.006). When finished, fill in the rest of the columns with zeros.
1.) 7 x 1 + 5 x (1/10) + 2 x (1/100)+ 8 x (1/1000) = _____________________
2.) 3 x 1 + 8 x (1/1000) = _________________________
3.) 3 x 10 + 5 x 1 + 2 x .1 + 7 x .01 + 6 x .001 = ____________________________
4.) 3 x 100 + 1 x 10 + 7 x .01 = ____________________________
5.) 8 x 100 + 3 x 10 + 9 x (1/100) + 3 x .001 = _____________________
6.) 7 x 1 + 2 x .1 + 8 x .01 + 5 x .001 = ___________________________
7.) 5 x 100 + 3 X 1/10 + 6 x 1/1000 = __________________
8.) 3 x 1000 + 7 x 10 + 2 x 1/100 = ____________________
9.) Please write 38.07 in expanded form