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# 2.7 find square roots and compare real numbers day 1

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### Transcript

• 1. Finding Square Roots and Comparing Real Numbers
Section 2.7
P. 110
• 2. Objectives
Evaluate & approximate square roots
Looking at the number “sets” again and understanding the members of each set.
• 3. Square root: If b2 = a, then b is a square root of a
Example:
If 32 = 9, then 3 is a square root of 9.
• 4. Vocabulary:
Positive square root
Negative square root
Undefined – why??
±
• 5. More vocabulary:
Perfect Squares – numbers whose square roots are integers or quotients of integers
Irrational Number – a number that cannot be written as the quotient of two integers (it never terminates or repeats)
REALS - the set of all rational and irrational numbers. (see P. 112)
• 6. Evaluate & approximate square roots
• 7. Evaluate & approximate square roots
Approximate the square root to the nearest integer
• 8. Looking at the number “sets” again and understanding the members of each set
Counting
• 9. Looking at the number “sets” again and
understanding the members of each set
Tell whether each of the following numbers is a real number, a rational number, an irrational number, an integer, or a whole number: , , – .
Integer?
Real Number?
Whole Number?
Irrational Number?
Rational Number?
Number

24
81
100

No
No
Yes
No
Yes
24
Yes
Yes
Yes
No
Yes

100
No
Yes
No
Yes
Yes

81
EXAMPLE 3
• 10. 9
9
9.
Tell whether each of the following numbers. A rational
number,an irrational number, an integer, or a whole
number: ,5.2, 0, , 4.1,. There order the
number from least to greatest.
2
2

7

20
20

4.4
=
0

7
2.6

=
4.1
–2
–8
–1
4
3
1
2
–3
–4
–5
–6
–7
–9
5
0
5.2
Looking at the number “sets” again and understanding the members of each set
EXAMPLE 4
Graph and order real numbers
GUIDED PRACTICE
SOLUTION
Begin by graphing the numbers on a number line.
• 11. Looking at the number “sets” again and
understanding the members of each set
,
4
4
,
,
Order the numbers from least to greatest:

3
3
.
,
–2.5
.

5

13

9

5

9

13
Read the numbers from left to right:
–2.5,

,
,
,
EXAMPLE 4
SOLUTION
Begin by graphing the numbers on a number line.
• 12. Assignment: P. 113 (#1-27)
May want to use a chart for 24-27
Integer?
Real Number?
Whole Number?
Irrational Number?
Rational Number?
Number

No
No
Yes
No
Yes
24
Yes
Yes
Yes
No
Yes

100
No
Yes
No
Yes
Yes

81