1. Warm Up Find each quotient 1. -98.44/-4.6 2. -7 divided by 3/5

2. Answers
21.4
-35/3
-1/16

3. 2-7 Square Roots and Real Numbers Objectives: The student will be able to:
1. find square roots
2. classify and order real numbers

4. A square root is one of two equal factors of a number.
If x2 = y then x is a square root of y.
In the expression ,
is the radical sign and
64 is the radicand.

5. What numbers are perfect squares?
1 • 1 = 1
2 • 2 = 4
3 • 3 = 9
4 • 4 = 16
5 • 5 = 25
6 • 6 = 36
49, 64, 81, 100, 121, 144, …

6. 1. Find the square root: 8
2. Find the square root:
-0.2
3. Find the square root:
±11
4. Find the square root:

7. 5. Use a calculator to find .
Round the decimal answer to the
nearest hundredth.

8. Rational numbers can be written as terminating or repeating decimals, or fractions.
Irrational numbers cannot be written as terminating or repeating decimals, or fractions.
Examples:
Note: 3 and 24 are not perfect squares

9. The set of real numbers consists of the set of rational numbers and the set of irrational numbers.
Rational Numbers Irrational Numbers
Integers
Whole
Numbers
Natural Numbers

10. Examples:
Name the set or sets to which real number belongs.

11. irrational
rational
natural number, whole
number, integer, rational
number
integer, rational number

12. You can write a set of real numbers in order from greatest to least or least to greatest. To do so, find a decimal approximation for each number in the set.

13. Write and in order from least to greatest.