Solution to

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

multiplication problem.

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

.

____________________________________________________________________________________

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)

____________________________________________________________________________________

MD0900

3-8

Integrated Publishing, Inc. |