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You have already compared fractions and decimals. (Lesson 3– 1) Identify and compare numbers in the real number system. Solve equations by finding square roots.
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Then/Now You have already compared fractions and decimals. (Lesson 3–1) Identify and compare numbers in the real number system. Solve equations by finding.

Dec 14, 2015

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Barnard Walsh
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Page 1: Then/Now You have already compared fractions and decimals. (Lesson 3–1) Identify and compare numbers in the real number system. Solve equations by finding.

You have already compared fractions and decimals. (Lesson 3–1)

• Identify and compare numbers in the real number system.

• Solve equations by finding square roots.

Page 2: Then/Now You have already compared fractions and decimals. (Lesson 3–1) Identify and compare numbers in the real number system. Solve equations by finding.

• irrational numbers

• real numbers

Page 4: Then/Now You have already compared fractions and decimals. (Lesson 3–1) Identify and compare numbers in the real number system. Solve equations by finding.

Number sets

1.Natural numbers

2.Whole numbers

3.Integers

4.Rational numbers

5.Irrational numbers

Page 5: Then/Now You have already compared fractions and decimals. (Lesson 3–1) Identify and compare numbers in the real number system. Solve equations by finding.

How the number sets are related

Page 6: Then/Now You have already compared fractions and decimals. (Lesson 3–1) Identify and compare numbers in the real number system. Solve equations by finding.

Classify Real Numbers

A. Name all of the sets of numbers to which the real number 0.246 belongs. Write whole, integer, rational, or irrational.

Page 7: Then/Now You have already compared fractions and decimals. (Lesson 3–1) Identify and compare numbers in the real number system. Solve equations by finding.

Classify Real Numbers

B. Name all of the sets of numbers to which the real number belongs. Write whole, integer, rational, or irrational.

Page 8: Then/Now You have already compared fractions and decimals. (Lesson 3–1) Identify and compare numbers in the real number system. Solve equations by finding.

Classify Real Numbers

C. Name all the sets of numbers to which the real number –7.25 belongs. Write whole, integer, rational, or irrational.

Page 9: Then/Now You have already compared fractions and decimals. (Lesson 3–1) Identify and compare numbers in the real number system. Solve equations by finding.

Classify Real Numbers

D. Name all of the sets of numbers to which the real number belongs. Write whole, integer, rational, or irrational.

Page 10: Then/Now You have already compared fractions and decimals. (Lesson 3–1) Identify and compare numbers in the real number system. Solve equations by finding.

A. A

B. B

C. C

D. D A B C D

0% 0%0%0%

A. Name all the sets of numbers to which the real number 0.380 belongs. Write whole, integer, rational, or irrational.

Page 11: Then/Now You have already compared fractions and decimals. (Lesson 3–1) Identify and compare numbers in the real number system. Solve equations by finding.

A. A

B. B

C. C

D. D A B C D

0% 0%0%0%

B. Name all the sets of numbers to which the real

number belongs. Write whole, integer, rational,

or irrational.

Page 12: Then/Now You have already compared fractions and decimals. (Lesson 3–1) Identify and compare numbers in the real number system. Solve equations by finding.

A. A

B. B

C. C

D. D A B C D

0% 0%0%0%

C. Name all the sets of numbers to which –2.25 belongs. Write whole, integer, rational, or irrational.

Page 13: Then/Now You have already compared fractions and decimals. (Lesson 3–1) Identify and compare numbers in the real number system. Solve equations by finding.

Compare Real Numbers

Express each number as a decimal. Then compare the decimals.

Page 14: Then/Now You have already compared fractions and decimals. (Lesson 3–1) Identify and compare numbers in the real number system. Solve equations by finding.

A. A

B. B

C. C

D. D A B C D

0% 0%0%0%

Page 15: Then/Now You have already compared fractions and decimals. (Lesson 3–1) Identify and compare numbers in the real number system. Solve equations by finding.

Order Real Numbers

Express each number as a decimal. Then order the decimals.

Page 17: Then/Now You have already compared fractions and decimals. (Lesson 3–1) Identify and compare numbers in the real number system. Solve equations by finding.

A. A

B. B

C. C

D. D A B C D

0% 0%0%0%

Page 18: Then/Now You have already compared fractions and decimals. (Lesson 3–1) Identify and compare numbers in the real number system. Solve equations by finding.

Solve Equations

A. Solve w 2 = 169. Round to the nearest tenth, if

necessary.

w 2 = 169

Write the equation.

Answer: The solutions are 13 and –13.

Definition of square root.

w = 13 or w = –13

Page 19: Then/Now You have already compared fractions and decimals. (Lesson 3–1) Identify and compare numbers in the real number system. Solve equations by finding.

Solve Equations

B. Solve r 2 = 50. Round to the nearest tenth, if

necessary.

r 2 = 50

Write the equation.

Answer: The solutions are approximately 7.1 and –7.1.

Definition of square root.

Use a calculator.

Page 20: Then/Now You have already compared fractions and decimals. (Lesson 3–1) Identify and compare numbers in the real number system. Solve equations by finding.

A. A

B. B

C. C

D. D A B C D

0% 0%0%0%

A. Solve the equation m2 = 81. Round to the nearest tenth, if necessary.

Page 21: Then/Now You have already compared fractions and decimals. (Lesson 3–1) Identify and compare numbers in the real number system. Solve equations by finding.

A. A

B. B

C. C

D. D A B C D

0% 0%0%0%

B. Solve the equation h2 = 24. Round to the nearest tenth, if necessary.

Page 22: Then/Now You have already compared fractions and decimals. (Lesson 3–1) Identify and compare numbers in the real number system. Solve equations by finding.

Use Real Numbers to Solve Problems

Write the formula.

Replace R with 6.4 and A with 40.

Page 23: Then/Now You have already compared fractions and decimals. (Lesson 3–1) Identify and compare numbers in the real number system. Solve equations by finding.

Use Real Numbers to Solve Problems

Answer: The wingspan is 16 feet.

Multiply each side by 40.

Consider only the positivesquare root.

Simplify.

Page 24: Then/Now You have already compared fractions and decimals. (Lesson 3–1) Identify and compare numbers in the real number system. Solve equations by finding.

A. A

B. B

C. C

D. D A B C D

0% 0%0%0%