7th Grade: Operations with Rational Numbers

CovertingFraction/Decimal

100

The fraction which is equivalent to -.25

- 1/4

200

The decimal value equivalent to 7/10.

0.7

300

The fraction value equivalent to 2.5.

2 and 1/2

400

Turn 1/3 into a decimal.

.333333

500

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

17/100

Adding Rational Numbers

100

3.15 + 2.25

5.40

200

0.38 + (-1.2)

-0.82

300

9/25 + (-17/25)

-8/25

400

-5/4 + 1/12

-14/12

500

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

Subtracting Rational Numbers

100

8/11 - 3/11

5/11

200

- 4/13 - 8/13

-12/13

300

-0.06 - (-0.86)

0.8

400

-5/12 - (-2/24)

-1/3

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

Find the Missing Rational Numbers

100

1/2-__=3/4

-1/4

200

4.1-__=3.2

0.9

300

1/3+__=

1/6

400

1/3-1/8=

5/24

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

Working with Negative Rational Numbers

100

-1/4-(-1/4)

0

200

-1/3+(-1/9)

-4/9

300

-5/8+(-1/4)

-3/8

400

Emma bought 2 and 1/2 yards of ribbon to make bows but lost 1& 1/3 yards. How much does she have left?

1& 1/6 or 7/6

500

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