Decimal Rule
Addition of Decimals
Subtraction of Decimals
Multiplication of Decimals
Division of Decimals
100

How do you add decimals?

Line up numbers by place value, lining up decimal points.  Add normally and drop the decimal straight down into the sum.

100
58.9 + 3.04 =
61.94
100
3.95 - 2.7 =
1.25
100
.6 x 2.1 =
1.26
100
.25 divided by .05 =
5
200

How do you subtract decimals?

Line up numbers by place value, lining up decimal points.  Subtract normally, borrowing when necessary and drop the decimal straight down into the difference.

200
.004 + 5.1 =
5.104
200
95.29 - 1.3 =
93.99
200
4.25 x 21 =
89.25
200
3.87 divided by .9 =
4.3
300

What do you do if, after lining up by place value, there are not enough digits in the top number to subtract a problem?

Annex zeros.

300
.9843 + 2.67 =
3.6543
300
125 - .68 =
124.32
300
.03 x .03 =
.0009
300
.425 divided by .005 =
85
400

How do you multiply decimals?

You ignore the decimal point and then multiply the numbers.  When finished, count the number of decimal numbers in each of the factors to find how many decimal numbers will be in the product.

400
5 + 2.78 + .030 =
7.81
400
.468 - .059 =
.409
400
2.003 x .05 =
.10015
400
.848 divided by 8 =
.106
500

How do you divide decimals?

Be sure to make the divisor whole by multiplying it by a power of 10.  Multiply the dividend by the same power of 10.  Place the decimal point in the quotient directly above the decimal point in the dividend.  Finally, divide normally being sure to annex zeros if you arrive at a remainder.

500
8.07 + .0976 + 23.3 + 48 =
79.4676
500
5.45 - 3.799 =
1.651
500
.312 x 1.67 =
.52104
500
.4564 divided by .04
11.41