Rational Number Test Study Guide

Test 1 Study Guide

by Tavaria Miller

​Your first test of the school year will be Friday. Open a new page in your notebook, title it Test Review, and take notes as you complete the assignment..

​To study for it, you can complete this study guide. Your test will cover each of the following:

​

​1) Classify Rational Numbers

​2) Add, subtract, multiply, and divide FRACTIONS

​​3) Add, subtract, multiply, and divide DECIMALS

4) Add, subtract, multiply, and divide POSITIVE AND NEGATIVE NUMBERS

​

​

​Classifying Rational Numbers

Make sure you can:

​Identify the sets and subsets of rational numbers

​Place numbers where they belong within the Rational Number System

​Rational Numbers:

• ​Real

• ​Ice cream

• ​With

• ​Nuts

​

Rational Numbers include fractions and decimals that stop/repeat.

​

​Integers are positive and negative whole numbers and 0.

​

​Whole numbers are positive numbers and 0.

​Natural numbers are the positive counting numbers only.

Multiple Choice

Integers are ____________ rational.

• always 

• sometimes 

• never

Multiple Choice

Which of the following are sets of integers?

•        5.5, -7.9, 0, 18

•        5, -10, 0, 23, -19

• 2 1/3, 19, -3.79, -5.5, 3 1/4 

Multiple Choice

0.8 is a rational number

• True

• False

Multiple Choice

0 is a whole number

• True

• False

Multiple Choice

-9 is an integer

• True

• False

Multiple Choice

Classify 17/10

• Whole

• Rational

• Natural

• None of the above

Multiple Choice

Classify the Number: -23

• Rational

• rational, integer

• integer

• rational, whole

Multiple Choice

A fraction is which type of number?

• Rational

• Natural

• Integer

• Whole

Multiple Choice

A fraction is which type of number?

• Rational

• Natural

• Integer

• Whole

Remember to check if your fractions can be simplified (divided) to create whole numbers!

Multiple Choice

Which of the following can be written as a whole number? 

• -9

• 0.01

• 2 1/2

• 12/4

Multiple Choice

$$\frac{2}{3}$$  is an integer.

• True

• False

Multiple Choice

Where would -3 belong to?

• Whole

• Integer

• Rational

• None of the above

Multiple Choice

Where would 8/4 belong to?

• Whole

• Integer

• Rational

• None of the above.

Multiple Choice

Where would -1 1/2 belong to?

• Whole

• Integer

• Rational

• None of the above.

Fractions​

Make sure you can:

Add, subtract, multiply, and divide fractions

Solve word problems with fractions​

​Adding and Subtracting Fractions

To add or subtract fractions, our denominators must be the same.

​Then, we add numerators only.

​

​If the denominators are not the same, we must find the LCD.

​LCD: lowest common denominator

​

​Once our denominators match, we can add or subtract the numerators

Multiple Choice

• 2/7

• 1/12

• 2/12

• 7/12

Multiple Choice

• 6/2

• 6/8

• 17/24

• 6/48

Multiple Choice

There is 1/2 of a cup of oil in Brandy's measuring cup. If Brandy adds 1/6 of a cup more, how much oil will be in the measuring cup?

• Addition

• Subtraction

• Multiplication

• Division

Multiple Choice

At the farmers' market, Trent bought 1/2 of a bag of Red Delicious apples and 5/12 of a bag of Gala apples. How many more bags of Red Delicious apples did Trent purchase?

• Addition

• Subtraction

• Multiplication

• Division

Multiple Choice

Snow fell in Monroe twice in one day. The town received 3/8 inch of snow in the morning and another 1/2 inch of snow in the afternoon. How many total inches of snow fell in Monroe on that day?

• 1/8

• 3/10

• 5/8

• 7/8

Before you add or subtract with mixed numbers, you MUST turn them into improper fractions​

Multiple Choice

Change the mixed number to an improper fraction.  

• 12/7

• 29/7

• 28/7

• 4/7

Multiple Choice

$$2\frac{9}{10}\ +6\ \frac{1}{3}=$$  

• $$9\ \frac{7}{30}$$  

• $$5\ \frac{4}{9}$$  

• $$6\ \frac{1}{4}$$

• $$4\ \frac{1}{2}$$  

​Multiplying Fractions

​To multiply fractions, we multiply

​

​Numerator x Numerator

​Denominator x Denominator

​

​Then, we simplify if we need to.

​

​REMEMBER, WHEN YOU SEE A FRACTION FOLLOWED BY "OF" YOU SHOULD MULTIPLY

Multiple Choice

Find the product. 3/7 X 3/4 =

• 9/24

• 9/28

• 6/32

• 1/28

Multiple Choice

Find the product. 3/5 X 10 =

• 3/50

• 30/5

• 6

• 1  1/5

Multiple Choice

A recipe needs 3/4 cup of sugar. If the recipe is doubled, how much sugar is needed?

• 1

• 1 1/2

• 1  3/4 

• 2

Multiple Choice

George has 1/3 pan of brownies. He eats 1/4 of them. What fraction did George eat?

• 1/7

• 1/4

• 1/3

• 1/12

Multiple Choice

Calculate

• 20

• 16

• 24

• 11

Multiple Choice

Calculate

• 9

• 18

• 27

• 12

​Dividing Fractions

​To divide by a fraction, you must multiply by the reciprocal of that fraction.

​

​We can remember this by using Keep Change Flip.

​We Keep the first number the same.

​We Change the division to multiplication.

​We Flip the second fraction.

​

​Then, multiply!

Multiple Choice

Name the reciprocal for 3/27

• 27/3

• 9

• 1/9

• 3/27 does not have a reciprocal

Multiple Choice

3/4 divided by 2/3

• 6/12

• 1/2

• 6/6 or 1

• 9/8 or 1 1/8

Multiple Choice

1/4 ÷ 2 = 

• 8

• 1/8

• 12

• 1/12

Multiple Choice

There is 1/3 of a pan of brownies left. Four children are going to share it equally. What fraction of the whole pan of brownies will each child get?

• 7

• $$\frac{1}{12}$$

• $$\frac{1}{7}$$

• 12

​Decimals

​Make sure you can:

Add, subtract, multiply, and divide decimals

Solve word problems with decimals​

​Remember to use your decimal cheat sheet!

Multiple Choice

3.24 ÷ 0.6 = 

• 5.25

• 0.54

• 5.4

Multiple Choice

Jerry bought 6.95 lbs. of cherry and lime jelly beans for his birthday party. If 1.75 lbs. were cherry flavor, how many pounds were lime flavor?

• 5.2 lbs.

• 8.7 lbs.

• 9.7 lbs.

• 5.02 lbs.

Multiple Choice

Joy drinks 4 bottles of water per day.  Each bottle contains 16.5 fluid ounces.  How many fluid ounces of water does she drink per day? 

• 66 fluid ounces

• 68 fluid ounces

• 660 fluid ounces

• 680 fluid ounces

Remember the rules for adding, subtracting, multiplying, and dividing positive and negative numbers!​

​Adding rules:

If the signs are the same: ADD

If the signs are different: SUBTRACT

​Multiplying and Dividing Rules:

​If the signs are the same: POSITIVE ANSWER

​If the signs are different: NEGATIVE ANSWER

Multiple Choice

-½ + -½

• - ¼

• 1

• 0

• -1

Multiple Choice

The price of a share of stock started the day at $37. During the day it went down $3, up $1, down $7, and up $4.What was the price of a share at the end of the day?

• $32

• - $32

• - $5

• $30