Write numbers in expanded form using powers of 10

The Pattern of Place Values There's no limit to how big or small a number you can write in expanded form. If you take it apart to its component place values, which is known as decomposing the number, you'll see that there is a 1 in the tens slot and a 1 in the ones slots.

Then you have seven hundredths and then you have four thousandths.

Expanded form using exponents worksheets

If you have the number 0. Let me write it two ways. We could write it as , which is the same thing as 9 times The 9 right over here, this is in the hundreds place. You have another 0. You have zero tens, but I'll write the tens place there just so you see it. That's just going to represent zero tens. It literally represents five ones, or you could just say it represents 5. To write numbers in expanded form, you link each digit in the number to its place value with a multiplication sign. Place Value Examples If you keep counting, you'll notice that the digits in the ones column change first.

You can even write decimals in expanded form, as long as you understand how those place values work. This 5 is in the ones place.

The next slot to the right is the tens place, and there's a 9 in it. It's not adding any value to our expression or to our number. The next number is 12, which still has a 1 in the tens slot, but now there's a 2 in the ones slot.

expanded form powers of ten with decimals

You just have to know the value of each place or slot in the number. And we have four thousandths. And then finally, we go to the thousandths place. Notice that now the number in the tens slot has increased to 2, but the ones slot has reset to zero. That's just going to represent zero tens.

There are three pieces to this number:90 and 2. You're already familiar with the ones place, which remains on the far right of the number; in this case, you have two 1s.

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How to Write Numbers in Expanded Form