7th Grade: Operations with Rational Numbers

CovertingFraction/Decimal

32

Turn 1/3 into a decimal.

.333333

100

The fraction which is equivalent to -.25

- 1/4

100

The world's smallest nation is Vatican City. It's area is 0.17 square miles. Express this value as a fraction.

17/100

2003

The decimal value equivalent to 7/10.

0.7

2147483647

The fraction value equivalent to 2.5.

2 and 1/2

Adding Rational Numbers

32

-5/4 + 1/12

-1 1/6

100

3.15 + 2.25

5.40

100

To make a small amount of play dough, you can mix 1 cup of flour, 1/2 cup of salt and 1/2 cup of water. What is the total amount of ingredients added to make the play dough?

2 cups

2003

0.38 + (-1.2)

-0.82

2147483647

9/25 + (-17/25)

-8/25

Subtracting Rational Numbers

32

-5/12 - (-2/24)

-1/3

100

8/11 - 3/11

5/11

100

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

2003

- 4/13 - 8/13

-12/13

2147483647

-0.06 - (-0.86)

0.8

Multiplying Rational Numbers

32

-2.57 (-.5)

1.285

100

5(1/3)

1 and 2/3

100

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

2003

-3.2 x 5

-16

2147483647

-1/6 (-2/3)

1/9

Dividing Rational Numbers

32

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

100

-7290³

hjirdfmerhogiuhrmwitgm

100

List all the properties for adding, subtracting, dividing, and multiplying positives and negatives?

-Add: Same sign? Yes: Add, keep sign OR No: Subtract, sign of biggest number. -Subtract: Keep, change, opposite and use addition rules -Multiply/Divide: Same sign: Answer is positive Different sign: Answer is negative

2003

-20 divided by 0.5

-40

2147483647

-15 divided by -5/8

24