Multiplying and Dividing Rational Numbers

General Rules

100

(+) x (+) =

(+) or positive

200

(+) x (-) =

-

300

Tell whether the expression is positive or negative without evaluating.

-3/10 * (-8/15)

positive

400

How is multiplying and dividing rational numbers similar to multiplying and dividing integers?

The same rules for signs of integers are applied to rational numbers.

500

Tell whether the expression is positive or negative without evaluating.

-6/5-:(-1/2)*6.3*(-0.6)-:2/3*7 7/8-:100

negative

Multiplying/Dividing Decimals

100

-4.95 ÷ 1.5

-3.3

200

-9.4 x (-4.7)

44.18

300

-15.4 ÷ (-2.5)

6.16

400

-98.14 x (-21.3)

2,090.382

500

24.75 ÷ 2.75

9

Multiplying Fractions

100

3 9/10*(-2 2/3)

-10 2/5

200

5/8*(-4/15)

-1/6

300

-2 3/8*(-1 3/5)

3 4/5

400

-5/8*1/2

-5/16

500

-3/5*2 2/7(-3 3/4)

5 1/7

Dividing Fractions

100

-1 5/6-:4 1/6

-11/25

200

-4/11-:2/7

-1 3/11

300

9/10-:(-1 1/5)

-3/4

400

-4 1/6-:1 1/3

-3 1/8

500

7/10÷(-5/2)

-7/25

Converting Fractions/Decimals/Percents

100

Convert 53% to a decimal and fraction.

0.53 and 

53/100

200

Convert 4/5 to a decimal and percent

0.8 and 80%

300

Convert 0.45 to a percent and fraction (simplify!)

45% and 

9/20

400

Convert 15% to a decimal and fraction

0.15 and 

3/20

500

Convert 175% to a decimal and fraction

1.75 and 

1 3/4