# Notes for Lesson 1-5: Square Roots and Real Numbers

Document Sample

```					Notes for Lesson 1-5: Square Roots and Real Numbers

Vocabulary:
Square root - A number that is multiplied by itself to form a product
Perfect square - A number whose positive square root is a whole number

1-5.1 - Finding the square roots of perfect squares

Example: Find the square root

49                    36
7 2  49               62  36
49  7                36  6

Square roots of many numbers are not whole numbers, like the square root of 15. However, we can use the
square roots of perfect squares to estimate the square roots of other numbers.

15
3  9 and 4 2  16
2

15 is closer to 16
3.9 2  15.21 and 3.82  14.44
So the 15 is closer to 3.9

1-5.2 - Application

Nancy wants to plant a garden in a square shaped plot. She has enough vegetables to cover 19 sq. ft. Estimate
to the nearest tenth the length of the side of the square plot she can plant.

Area  side 2
19  side 2
19  side
42  16 and 52  25 closer to 4
4.52  20.25 to high
4.42  19.36 still to high
4.32  18.49 to low
4.4 2 is closer so use it
1-5.3 - Classifying Real Numbers

Vocabulary:
Natural numbers - The counting numbers
Whole Numbers - The natural numbers and zero (numbers that represent the amount of something)
Integers - Whole numbers and their opposites
a
Rational numbers - Numbers that can be expressed as a fraction
b
a
Irrational numbers - Numbers that cannot be expressed as a fraction
b
Real numbers - The set of all rational and irrational numbers

Examples: Classifying real numbers

8
belongs to which sets of real numbers         answer: rational
9

18 belongs to which sets of real numbers        answer: natural, whole, integer, rational

20 belongs to which sets of real numbers    answer: irrational

4
7   belongs to which sets of real numbers       answer: rational
9
6 belongs to which sets of real numbers        answer: integers, rationals

```
DOCUMENT INFO
Shared By:
Categories:
Tags:
Stats:
 views: 45 posted: 6/13/2012 language: English pages: 2
How are you planning on using Docstoc?