Over Lesson 10 –1 The area of a square is 200 cm 2 . Estimate the length of a side of the square.

A. A B. B C. C D. D

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.

A long time ago in a galaxy far, far away…wrong slide show (just a long time ago, someone created numbers) • Natural Number (Counting Numbers) – 1,2,3,… • Whole Numbers – 0,1,2,3,… • Integers – …-3,-2,-1,0,1,2,3,… • Rational Numbers – numbers that can be fractions (⅓, .375, etc) • Irrational Numbers – numbers that cannot be fractions ( , π, etc) • Real Numbers – both Rational and Irrational Numbers

Integers Whole Numbers Natural Numbers Rational Numbers Real Number Irrational Numbers

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. Answer:

This decimal is a rational number because its digits repeat. It is equivalent to

Classify Real Numbers B.

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

Since this number is a whole number, an integer, and a rational number.

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

Classify Real Numbers D.

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

Order Real Numbers

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

Order Real Numbers

A.

B.

C.

D.

A. A B. B C. C D. D

Solve Equations A.

Solve w 2 necessary.

= 169. Round to the nearest tenth, if

w

2 = 169 Write the equation.

Definition of square root.

w

= 13 or

w

= –13

Answer:

The solutions are 13 and –13.

Solve Equations B. Solve r 2 necessary.

= 50. Round to the nearest tenth, if

r

2 = 50 Write the equation.

Definition of square root.

Use a calculator.

Answer:

The solutions are approximately 7.1 and –7.1.

A.

Solve the equation m 2 tenth, if necessary.

= 81. Round to the nearest A.

8 B.

8 and –8 C.

9 D.

9 and –9

A. A B. B C. C D. D

B.

Solve the equation h 2 tenth, if necessary.

= 24. Round to the nearest A.

4.8 and –4.8

B.

4.9

C.

4.9 and –4.9

D.

5 and –5

A. A B. B C. C D. D

Use Real Numbers to Solve Problems

Write the formula.

Replace

R

with 6.4 and

A

with 40.

Use Real Numbers to Solve Problems

Multiply each side by 40.

Consider only the positive square root.

Simplify.

Answer:

The wingspan is 16 feet.

A.

7.1 ft B.

9.9 ft C.

14 ft D.

98 ft

A. A B. B C. C D. D