Download Prebell Irrational Numbers Summary

9/30/2016
Prebell
Identify whether the following numbers are rational
or irrational.
1. 729
2. 23.146875 …
3. 115
4.
49
81
5. π
6. 12.563
Determine if the following numbers
are irrational or rational.
1. 25
2. 50
3. 2
4. 2
5.
6.
50
8
144
9
Estimate the value of each irrational
number, then check with a calculator.
1.
5
2.
3
3.
10
Irrational Numbers
• Irrational Numbers are numbers that are not
rational.
𝑎
𝑏
• They cannot be written in the form .
• Square roots of numbers that are not perfect
squares are irrational. 3 is irrational because
3 is not a perfect square.
Estimating Square Roots of Irrational
Numbers
• To estimate the square root of a non-perfect
square…
1. Find two consecutive perfect squares that the
non-perfect square is between.
Ex: 42
2. Take the square root of each number.
Ex:
• So, the 42 is in between 6 and 7, or about
6.
Summary
1. What is an irrational number?
1
9/30/2016
Summary
2. Tell if the following numbers are rational or
irrational.
a.
b.
Summary
3. What two perfect squares is 27 between?
27
2
27
Summary
4. Estimate the value of 27.
2