7th Grade: Operations with Rational Numbers

ConvertingFraction/Decimal

100

The fraction which is equivalent to -.25

- 1/4

200

The decimal value equivalent to 7/10.

0.7

300

The improper fraction equivalent to 2.24

56/25

400

Turn 1/3 into a decimal.

.333333

500

57/99 as a decimal

0.575757...

Adding & Subtracting Rational Numbers

100

3.15 + 2.25

5.40

200

0.38 - 1.2)

-0.82

300

-5/12 - (-2/24) - (-10/24)

1/12

400

-5/4 + 1/12 - (-2/3)

-1/2

500

If a=0.2, b=5/4 and c=-1.15, what is a + c - (b)²

-2.5125 or -201/80

Word Problems

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

200

To make a small amount of play dough, you can mix 1 cup of flour, 1/2 cup of salt and 0.75 cup of water. What is the total amount of ingredients added to make the play dough?

2 1/ 4or 2.5 cups

300

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

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

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

Multiplying & Dividing Rational Numbers

100

5 x (3/25)

3/5

200

-3.2 ÷ 0.2

-16

300

-1/6 (-2/3) ÷ 1/54

6

400

-2.57 (-1/2)(4)

5.14 or 5 7/50

500

Given x=7/8 and y= 49/24, x/y is... 

3/7

Order of Operations

100

1/3 + 0.25 ÷ 3/8

1

200

-20 ÷ 0.5 + (-1/4 x -80)

-20

300

-5 1/3 ÷ (-2/3-(-4/2))

-4

400

If x=3 1/3, y =7/8, z=9.25, Then xy+ z = 

6 1/3 or 6.3333...

500

If a=7/8, b=9/8, c=1/7, and d=4/9, what is (a/b)÷c-d

5