Back to Unit 5

 

How to divide decimals Short Division

 


Labels in a division problem Quotient

 

Divisor Dividend

 

 

If there is no decimal point in the divisor:

 

Step#1 Bring up the decimal point directly above where it is in the dividend.

 

 

 

 

 


Step #2 Divide using short division.

1. 6

5 8.30

Carry the leftover to the 0

Divide 8 by 5, put the 1 directly above the 8. 1 times 5 is 5. 8 - 5 = 3, carry the 3 on the bottom making 30. 30 divided by 5 is 6, place the 6 directly above the 0.

 

If there is a decimal point in the divisor:

 

Step#1 Bring up the decimal point directly above where it is in the dividend.

 

.

. .

 

 


Step #2 Divide using short division.

1 6 0.

.05. 8.300.

 


Carry the leftover to the 0

Divide 8 by 5, put the 1 directly above the 8. 1 times 5 is 5. 8 - 5 = 3, carry the 3 on the bottom making 30. 30 divided by 5 is 6, place the 6 directly above the 0. Next 0 divided by 5 is 0.

Using mental math to divide by powers of 10

 

Move the decimal point to the left the number of zeros in the divisor. Then divide by the whole number. See examples below:

 

A) 320,0 00 8 00 =

 


3,200 8 = 400

 

B) 5,400,000 9 X 104 =

540 9 = 60

 

C) 72.543 100 = .72543

 

Remember if you are multiplying by a positive power of 10 the number gets bigger so you move the decimal point to the right.

 

Use Mental Math to solve the following problems:

 

1) 360,000 600 = 2) .234 100 =

 

3) 98.33 x 1,000 = 4) 36,000 9,000 =

 

5) 4.213 100 = 6) 8.75 x 105 =