Name _________________________________________________ Date ________________________
Math 7
Mrs. L Liddiard
Lesson 1.1: Introduction to the Real Number
System and absolute value
Types of Numbers
You will learn
about irrational
numbers next
year in eighth
grade. They are
part of the real
numbers.
Natural Numbers ~ _____________________________________________________________________
Whole Numbers ~ _____________________________________________________________________
Integers ~ ____________________________________________________________________________
Rational Numbers ~ ____________________________________________________________________
All of these types of numbers are called real numbers because they can be plotted on a number line.
So far in your mathematical education, you have only worked with what types of number?
In this module, we will focus on working with integers and rational numbers.
Integers
What are integers?
Complete the Venn diagram with what you already know about integers.
Positive Numbers
Negative Numbers
Opposites
What are opposites?
The opposite of a number is ______________________________________________________________
So the opposite of 5 is ________________ and the opposite of -5 is _____________________________
Find the opposite of each number below:
Number
Opposite
Number
10
-6.25
-34
-¾
½
0
Opposite
Absolute Value
Absolute value is the distance a number is away from zero on the number line.
Absolute value is shown with two ____________________ bars around the number, like this:
Find each absolute value:
If a problem has absolute value in it, you ______________________ simplify the absolute value BEFORE
you do any operations!
Simplify each problem below. Show your work for each problem.
Lesson Summary
Classwork
For each number below, state all of the types of numbers it can be.
32.66666…
2.25
-15.5
123,456,789
Simplify each problem. SHOW ALL YOUR WORK!