1. Rational Numbers
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2. Warm Up
Whole Numbers Integers Neither
Place the numbers in the correct category. They can be used in more than one category if needed.
𝟏 𝟐
𝟑 𝟒 1,
6, 87, 8, 1,233, 61
-2, -876, -89, -65
𝟏 𝟐 , - 𝟑 𝟒 , 0.24,
-4.56, 7.75
6, 87, 8, 1,233, 61

3. Rational Numbers-Numbers that can be written as a fraction.
3.7777…
Integer- Whole numbers and their opposites.
𝟏 𝟐
3 𝟑 𝟒 -2
Whole Numbers
0, 1, 2, 3, 4 ,
-123
-1.23
-10
-34,567

4. Rational, integer, whole number
Identify all sets to which the number belongs.
Example 1: -240
Example 2: 5
Example 3: − 𝟐 𝟑
Example 4: 𝟔 𝟑
Example 5:
Rational, integer
Rational, integer, whole number
Rational
Rational, integer, whole number
Rational

5. Practice Identify all sets to which the number belongs. 1). 85 2). 𝟑 𝟒
1). 85
2). 𝟑 𝟒 3) 4) 5)
Rational, integer, whole
Rational
Rational, integer

6. Review of Simplifying Fractions
Write fractions in simplest form.
Example 1:
𝟖 𝟐𝟎
Example 2:
𝟏𝟖 𝟑𝟎
First find the GCF. Then divide the numerator and denominator by the GCF.
𝟐 𝟓 ÷𝟒
GCF is 4 ÷𝟒
𝟑 𝟓
÷𝟔 ÷𝟔
GCF is 6

7. − 𝟑 𝟓 −𝟑 𝟓 𝟑 −𝟓 Negative Fractions
When writing negative fractions you can write it three ways.
− 𝟑 𝟓 −𝟑 𝟓 𝟑 −𝟓

8. Simplify each fraction. 1). 𝟖 𝟐𝟒 2). − 𝟏𝟒 𝟐𝟖 3). 𝟏𝟓 𝟔𝟎 4). − 𝟗 𝟑𝟓
Practice
Simplify each fraction.
1). 𝟖 𝟐𝟒
2). − 𝟏𝟒 𝟐𝟖
3). 𝟏𝟓 𝟔𝟎
4). − 𝟗 𝟑𝟓
𝟏 𝟑
− 𝟏 𝟐 𝒐𝒓 −𝟏 𝟐 𝒐𝒓 𝟏 −𝟐
𝟏 𝟒
− 𝟗 𝟑𝟓 𝒐𝒓 −𝟗 𝟑𝟓 𝒐𝒓 𝟗 −𝟑𝟓

9. Closure
Complete the Venn Diagram below.
Integer
Rational Numbers