warm-up change each decimal to a fraction: 1.0.878 2.0.45 3.0.6 4.0.1234

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Warm-Up Change each decimal to a fraction: 1. 0.878 2. 0.45 3. 0.6 4. 0.1234

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Page 1: Warm-Up Change each decimal to a fraction: 1.0.878 2.0.45 3.0.6 4.0.1234

Warm-UpChange each decimal to a fraction:

1. 0.878

2. 0.45

3. 0.6

4. 0.1234

Page 2: Warm-Up Change each decimal to a fraction: 1.0.878 2.0.45 3.0.6 4.0.1234

Pre-Algebra

9.1 Squares and Square Roots

Page 3: Warm-Up Change each decimal to a fraction: 1.0.878 2.0.45 3.0.6 4.0.1234

VocabularySquare

to multiply a number by itself

Example: 2 Squared = 2 x 2 = 4

Perfect Squares

numbers that have whole number factors you can square

Example: 5 x 5 = 25 8 x 8 = 64 13 x 13 = 169

Page 4: Warm-Up Change each decimal to a fraction: 1.0.878 2.0.45 3.0.6 4.0.1234

Square Root

one of two equal factors of a number

The SQUARE ROOT of 36 is 6, because you can square 6 to get 36

6 x 6 = 36

Radical Sign

used to indicate a square root

CANNOT have a negative UNDER the radical sign

Page 5: Warm-Up Change each decimal to a fraction: 1.0.878 2.0.45 3.0.6 4.0.1234

Find each square root:1. 2.

3. 4.

Page 6: Warm-Up Change each decimal to a fraction: 1.0.878 2.0.45 3.0.6 4.0.1234

Find the square roots:5. 6.

7.

Page 7: Warm-Up Change each decimal to a fraction: 1.0.878 2.0.45 3.0.6 4.0.1234

9.2 The Real Number System

Pre-Algebra

Page 8: Warm-Up Change each decimal to a fraction: 1.0.878 2.0.45 3.0.6 4.0.1234

VocabularyNatural Numbers – 1, 2, 3, 4…

Whole Numbers – 0, 1, 2, 3, 4…

Integers - -2, -1, 0, 1, 2,…

Rational Numbers – any number that can be expressed as a fraction where the denominator is not 0 and the decimal STOPS or REPEATS!!!

Irrational Numbers – numbers that DO NOT REPEAT and DO NOT STOP!!!

Page 9: Warm-Up Change each decimal to a fraction: 1.0.878 2.0.45 3.0.6 4.0.1234
Page 10: Warm-Up Change each decimal to a fraction: 1.0.878 2.0.45 3.0.6 4.0.1234

Number Irrational Rational Natural Whole Integer

17

-72/6

√225

0.246

√52

1. Name all of the sets of numbers to which each real number belongs. You can mark the correct answers with a check mark! More than one may apply!

Page 11: Warm-Up Change each decimal to a fraction: 1.0.878 2.0.45 3.0.6 4.0.1234

Replace the ____with <, >, or = to make the following statement true.

2. √125 ______ 11 7/8

Page 12: Warm-Up Change each decimal to a fraction: 1.0.878 2.0.45 3.0.6 4.0.1234

Order 6, ¼, √38, 6.5, and √36 from least to greatest!

3.

Page 13: Warm-Up Change each decimal to a fraction: 1.0.878 2.0.45 3.0.6 4.0.1234

Breaking down a square root that is not a perfect root, with out giving a

decimal!

4. √40 5. √68

Page 14: Warm-Up Change each decimal to a fraction: 1.0.878 2.0.45 3.0.6 4.0.1234

6. √132 7. √94

Page 15: Warm-Up Change each decimal to a fraction: 1.0.878 2.0.45 3.0.6 4.0.1234

Solve the equations:

9. w2 = 169 10. r2 = 50

Page 16: Warm-Up Change each decimal to a fraction: 1.0.878 2.0.45 3.0.6 4.0.1234

9.1 Study Guide and Intervention

Page 17: Warm-Up Change each decimal to a fraction: 1.0.878 2.0.45 3.0.6 4.0.1234

Homework: 9.2 Practice #’s 1-31 ODD

Page 18: Warm-Up Change each decimal to a fraction: 1.0.878 2.0.45 3.0.6 4.0.1234

Homework: 9.1 Skills Practice ODD