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Multiplying and Dividing Decimals

To multiply 2 decimal numbers

- Multiply as you would whole numbers
- Count the total number of digits to the right of

the decimal points in the 2 numbers being

multiplied. Place the decimal point in the

product so that it has that same number of

decimal places.

Multiply 42.6 x 1.73

1 place

2 places

.

3 places

To divide 2 decimal numbers

- Use the same form as in dividing 2 whole numbers
- Multiply both divisor and dividend by a power of

10 (move the decimal point) that makes the

divisor a whole number. - Divide as you would with whole numbers, and place

the decimal point in the quotient directly above

the decimal point in the dividend.

Divide 75.1 by 1.62 and round to the nearest

hundredth.

A 23-ft I-beam is to be divided into 4 equal

parts. What is the length of each piece?

A small plane flies 277.5 mi in 2.5 h. How fast

did the plane fly?

If the cost of a metal duct with dimensions is

16.60 for four feet, how much is it per foot?

A 35.95 in. long steel rod is to be cut into

pieces 3.56 in. long. Each cut wastes 0.15 in. of

rod in shavings. If 9 pieces are cut from the

rod, how many inches of the rod are left?

How many metal sheets are in a stack that

measures 22.5 in. high if each sheet is 0.045 in.

thick?

Each cut on a lathe is 0.018 in. deep. How many

cuts would be needed to turn down 4.562-in. stock

to 4.220 in.?

A nurse gives three tablets of ephedrine,

containing 0.75 grains each. How many grains are

given?

A nurse gives three tablets of ephedrine making a

total of 0.75 grains. How many grains are in each

tablet?

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