Operations with Rational Numbers

Dimensional Analysis / OOO

Properties

Add/Subtract Q's

Multiplying Q's

Dividing Q's

100

-2 ( -1/4 + 2/8)

100

State the property that supports the given equation:

(2 + 4) + (-7) = 2 + (4 + (-7))

Associative Property of Addition

100

8/11 - 3/11

5/11

100

5(1/3)

1 and 2/3

100

1/4 divided by 3/8

2/3

200

[9( 1/2 - 1/6) +4] - 2(3/2)²

2 1/2

200

State the property that supports the given equation:

(2 5/8) x 0 = 0

Zero Property of Multiplication

200

- 4/13 - 8/13

-12/13

200

-3.2 x 5

-16

200

-20 divided by 0.5

-40

300

350 lbs = _______________ kg

Round to the nearest hundredth if necessary

158.76 kg

300

State the property that supports the given equation:

(-3.25)+(-3.4)+0.26=0.26+(-3.4)+(-3.25)

Commutative Property of Addition

300

-0.06 - (-0.86)

0.8

300

-1/6 (-2/3)

1/9

300

-15 divided by -5/8

400

27 cm = __________ in

Round to the nearest hundredth if necessary.

10.63 in

400

State the property that supports the given equation:

(3/12) x 4 = 1

Multiplicative Inverse

400

-5/12 - (-2/24)

-1/3

400

-2.57 (-.5)

1.285

400

Emma bought 2 and 1/2 yards of ribbon to make bows for 4 of her friends. How much yard will she use for each ribbon?

5/8 yards

500

(2 5/8) divided by (-1.5) + (2 1/6) + 5

65/12 or 5 5/12

500

State the property that supports the given equation:

6(-3 1/18) = -18 + (1/3)

Distributive Property

500

The snowfall in Rochester, NY in the winter of 1999-2000 was 91.5 inches. Normal snowfall is about 76 inches per winter. How much more snow fell in the winter of 1999-2000 than is normal?

15.5 inches

500

Joe had a breakfast party. He invited four of his best friends. Each friend brought 3.4 cups of coffee. How much coffee did they all bring together?

13.6 cups

500

(-6 8/21) divided by (2/7)

-67/3 or -22 1/3