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Decimal Operations

Adding Decimal Numbers

- When adding decimal numbers you must line up the

decimal points in the numbers you are adding as

well as in the answer. - Whole numbers are on the left side of the decimal

point and fractional numbers are on the right

side.

Example

- Find the sum of 2.073.2.032
- (Find the sum tells you to add)
- 2.000 remember you can add
- 0.070 zeros (in red)to even up the
- 3.200 numbers!
- 0.032
- 5.302

Subtracting Decimal Numbers

- You must line up the decimal points in the

numbers as well as in the answer. - Whole numbers go on the left side of the decimal

point and fractional numbers go on the right side

of the decimal point.

Example

- Find the difference of 5.36 and .082.
- 5.360 Remember you have nothing
- 0.082 to subtract the two from if 5.278

you do not add a zero at the top!

Multiplying Decimal Numbers

- You need to line up the numbers as you normally

would for multiplication without trying to line

up the decimal points. In other words, disregard

the decimal point until you get ready to put it

in the answer. - You will need to count the number of digits

behind the decimal point in each number

multiplied and move the decimal point in the

answer that many places from the right of the

answer.

Example

- Find the product of 3.2 and .056
- Tip Put the .056 on the top to multiply because

it has more digits. - .056 (3 digits behind the decimal)
- X 3.2 (1 digit behind the decimal)
- 112
- 1680
- .1792 (move the decimal point over four

places from the right in the answer)

Division of Decimal Numbers

- If you are dividing a decimal number by a whole

number just bring the decimal point up to the top

line and divide as usual. - If you are dividing a decimal number by a decimal

number, move the decimal point in the divisor to

the right until it is a whole number. You must

then move it that many places in the dividend

(even if the dividend is a whole number) and

bring it up to the line. Then you can just

divide as usual.

Example

- Find the quotient of 84 and 2.40.
- You would set it up as 84 divided by 2.40. You

would move the decimal point to the right two

places in 2.40 to make it 240. You would then

move the decimal point two places in 84 to make

it 8400. Now you have 8400 divided by 240 and

can divide as usual to get 35.

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