then/now you have already compared fractions and decimals. (lesson 3–1) identify and compare...

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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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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.

• irrational numbers

• real numbers

Number sets

1.Natural numbers

2.Whole numbers

3.Integers

4.Rational numbers

5.Irrational numbers

How the number sets are related

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.

Classify Real Numbers

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

Classify Real Numbers

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

Classify Real Numbers

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

A. A

B. B

C. C

D. D A B C D

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

A. A

B. B

C. C

D. D A B C D

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

number belongs. Write whole, integer, rational,

or irrational.

A. A

B. B

C. C

D. D A B C D

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

Compare Real Numbers

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

A. A

B. B

C. C

D. D A B C D

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Order Real Numbers

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

A. A

B. B

C. C

D. D A B C D

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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

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.

A. A

B. B

C. C

D. D A B C D

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

A. A

B. B

C. C

D. D A B C D

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

Use Real Numbers to Solve Problems

Write the formula.

Replace R with 6.4 and A with 40.

Use Real Numbers to Solve Problems

Answer: The wingspan is 16 feet.

Multiply each side by 40.

Consider only the positivesquare root.

Simplify.

A. A

B. B

C. C

D. D A B C D

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