FRAME 3-15.
Solution to
MULTIPLYING DECIMALS. Decimals are multiplied just as whole
Frame 3-14.
numbers are, except you have to put a decimal in the final answer
4 12 10
(product). Unlike adding and subtracting decimals, however, you do not
a.
729.75309
need to keep the decimals lined up (aligned) nor do you have to add
- 0.00770
zeroes to make the number of decimal places equal.
729.74539
Sample problem: 1.11 x 0.15
2 9 9 10
b.
3.000
Multiply just as you do in whole numbers.
1.11
111
0.003
(Ignore the decimal for now.)
x 0.15
x 15
2.997
NOTE: Normally, no space is left under
555
the decimal when working a
111
1665
Now, you need to place the decimal point in the answer. To do this, you:
(1) Count the number of digits to the right of the decimal point in
the top factor (multiplicand),
(2) Count the number of digits to the right of the decimal point in
the bottom factor (multiplier),
(3) Add the results together,
(4) Count off that many places from the RIGHT in the
PRODUCT (number at far right is one, number
immediately to its left is two, etc.) , and
(5) Place a decimal point to the left of that location.
In the example, the multiplicand (1.11) has 2 places to the right of the
decimal and the multiplier (0.15) has 2 places to the right of the decimal.
Adding the results (2 places + 2 places = 4 places) tells how many
decimal places (places to the right of the decimal) you have in the
produce. The answer then is
.
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FRAME 3-16.
Solution to
Place the DECIMAL POINT in
3.217
Frame 3-15.
the product of this problem:
x 4.71
3217
0.1665 (the answer must
22519
have four decimal places to
12868
the right of the decimal
1515207
point)
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MD0900
3-8