Multiplying and dividing decimals by powers of 10.

 In this lesson we're going to learn about multiplying and dividing decimals by powers of 10.
Sometimes when you're multiplying or dividing decimals, you have to multiply or divide by 10, 100, or 1000 etc,
so today we're going to learn how to multiply or divide the decimals just using the decimal point.

When multiplying a decimal by 10, 100 or 1000, move the decimal point 1,2 or 3 places to the right.
When dividing decimal by 10, 100 or 1000, move the decimal point 1,2 or 3 places to the right.


 Our first example is 76.23 x 10.
We need to move the decimal point to the right just once.
Reason is we're moving the decimal point by the number of the zeroes.
Therefore our answer is 762.3.


  Second example is 8.745 x 100.
Now we do the same but the position of the decimal point.
There are two zeroes at this time, so we move the decimal point to the right twice.
Therefore 8.745 x 100 = 874.5.

  Third example is "Convert 2.7 meters to centimeters.
1m = 100cm, the working out should be like this, 2.7 x 100.
Then we move the decimal point to the right twice.
Therefore our answer is 270cm.

  Forth and last example on multiplication is 2.967 x 1000.
This time there are 3 zeroes so we move the decimal point to the right three times.
Therefore the answer is 2967.

  In dividing decimals, you move the decimal point to the left.

  First example is 76.7/10.
There's only one zero so we move the decimal point to the left once.
Therefore the answer is 7.67.

  Second example is 984.5/100.
 There are two zeroes so we move the decimal point to left twice.

Therefore the answer is 9.845.


  Third and last example is 85.9/1000.
There are three zeroes so we move the decimal point to the left three times.
Therefore the answer is 0.0859.