1. Rational Numbers
Any number that can be written as a fraction
A decimal that terminates or repeats with a pattern
Irrational Numbers
A number that can not be written as a fraction
A decimal that does not terminate or repeat

2. Rational & Irrational Numbers
To write a fraction as a
decimal, divide the
numerator by the
denominator. . 7 5
3 4 =
4)3.00
2 8 2
Terminating
And rational
2 0

3. Rational & Irrational Numbers
To write a fraction as a
decimal, divide the
numerator by the
denominator. . 3 3
= 0.3
1 3 =
3)1.00 9 1
repeating
And rational 9 1

4. IRRATIONAL

5. Decimal to Fraction
45 100
= 9 20
.45=
RATIONAL
= 1 8
.125=

6. YOUR TURN TO PRACTICE
15 4 = =
11 3 =
Worksheet A/B #2-8 Evens

7. Square Root – a number multiplied by itself
5×5=25
−5 ×−5=25
Therefore both 5 and -5 are square roots of 25
25 =5, −5
36 = ???
100 = ??
9 = ???
𝟔 ,−𝟔
𝟏𝟎 ,−𝟏𝟎
𝟑 ,−𝟑

8. Perfect Square Challenge
Recite all
Perfect Squares from
1 thru 25

9. What if ??? = 4
= 𝟐 𝟓 , - 𝟐 𝟓 25

10. Cube Root – a number multiplied by itself 3 times
4×4×4=64
Is both 4 and -4 cube roots of 64? Why/Why not?
NO! Only 4 is the cube root of 64.
3 64 =4
= ???
3 1 = ??
= ??? 𝟔 𝟏 𝟏𝟎

11. YOUR TURN TO PRACTICE
Find the square roots: 81 49
25 36

12. YOUR TURN TO PRACTICE
Find the cube roots: 27
125
729
Worksheet A/B #9-16 All

13. Approximating Irrational Numbers4 7 9
1 2 3 2
Step 1:
Find the numerator by subtracting 4 from 7
Step 2:
Find the denominator by subtracting 4 from 9
Step 3:
Convert to a decimal = 2.6

14. Approximating Irrational Numbers9 12 16
1 2 4 3
Step 1:
Find the numerator by subtracting 9 from 12
Step 2:
Find the denominator by subtracting 9 from 16
Step 3:
Convert to a decimal = 3.43

15. Approximating Irrational Numbers16 22 25
1 2 5 4
Step 1:
Find the numerator by subtracting 16 from 22
Step 2:
Find the denominator by subtracting 16 from 25
Step 3:
Convert to a decimal = 4.6