The Real Number System & Properties of Real Numbers Review

Rational Numbers

100

These numbers can be written as fractions

What is a rational number

200

These rational numbers are referred to as "the counting numbers" and they include 1, 2, 3, ....

What are natural numbers?

300

These type of rational numbers is all natural numbers including zero

What are whole numbers?

400

All rational numbers are in what system?

What is the real number system?

500

What is an integer?

All of the natural and whole numbers, plus their negatives.

Irrational Numbers

100

Irrational numbers cannot be written as ratios (or this math term, which is similar in meaning.)

What are fractions?

200

Irrational numbers cannot be the square roots of this kind of number.

What are perfect squares?

300

This value, commonly used in geometry and symbolized by a Greek letter, is an irrational number because it is a decimal that does not terminate...

What is Pi?

400

An irrational number does not terminate or...

What is repeat?

500

All irrational numbers are in what number system?

What is the real number system?

Properties of Real Numbers

100

Name the property illustrated here: (5/9)(9/5) = 1

What is the multiplicative inverse?

200

Name the property shown here: (1)( 8) = 8

What is multiplicative identity?

300

Name the property shown here: 2(x + 7) = 2x + 14

What is the distributive property?

400

Name the two operations that you can use the commutative or associative property with..

What is addition and multiplication?

500

All of the properties that allow you to add, subtract, multiply and divide both sides by the same thing.

What are...

The Addition Property of Equality

The Subtraction Property of Equality

The Multiplication Property of Equality

The Division Property of Equality

Properties of Numbers

100

Name the property shown here: 2+3=3+2

What is the commutative property of addition?

200

Name the property shown: 5+(7+8)=(5+7)+8

What is the associative property of addition?

300

Name the property shown here: 8+0=8

What is the additive identity?

400

Name the property shown here: 2*3*4= 3*4*2

What is the commutative property of multiplication?

500

Name the property shown: 

-1/8 * (-8) =1

What is the multiplicative inverse?

Adding & Multiplying with Ration & Irrational Numbers

100

Adding or Multiplying a Rational and a Rational will always be...

What is a Rational?

200

Adding two Irrational numbers results in a:

What is an Irrational?

300

Adding or Multiplying a Rational and an Irrational will always be...

What is an Irrational?

400

Multiplying two Irrational numbers will result in...

What is sometimes a Rational and sometimes an Irrational (have to check it in the calculator and see)?

500

List all of the Rules for Adding/Multiplying Rational and Irrational Numbers

What is...

R+R=R

R*R=R

R+I=I

R*I=I

I+I=I (almost always)

I*I=? (check in calc)