Multiplying and Dividing Decimals

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Multiplying and Dividing Decimals
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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.

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Multiply 42.6 x 1.73
1 place
2 places
.
3 places
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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.

5
Divide 75.1 by 1.62 and round to the nearest
hundredth.
6
A 23-ft I-beam is to be divided into 4 equal
parts. What is the length of each piece?
7
A small plane flies 277.5 mi in 2.5 h. How fast
did the plane fly?
8
If the cost of a metal duct with dimensions is
16.60 for four feet, how much is it per foot?
9
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?
10
How many metal sheets are in a stack that
measures 22.5 in. high if each sheet is 0.045 in.
thick?
11
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.?
12
A nurse gives three tablets of ephedrine,
containing 0.75 grains each. How many grains are
given?
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A nurse gives three tablets of ephedrine making a
total of 0.75 grains. How many grains are in each
tablet?