Squares and Square Roots Lesson 10 1 Page

• Squares and Square Roots • Lesson 10 -1 • Page 555

Five-Minute Check (over Chapter 9) Then/Now New Vocabulary Key Concept: Square Root Example 1: Find Square Roots Example 2: Estimate Square Roots Example 3: Use a Calculator to Estimate a Square Root Example 4: Use a Calculator to Estimate a Negative Square Root Example 5: Real World Example: Use Square Roots to Solve Problems

Over Chapter 9 Write 5 ● a ● b ● b using exponents. A. 10 a 2 b 3 B. 52 a 2 b 3 C. 10 ab 5 D. 5 ab 5

Over Chapter 9 Write x ● y ● x ● y using exponents. A. 2 xy B. 4 xy C. 4(xy)4 D. (xy)4

Over Chapter 9 Find 35 ● 34. Express using positive exponents. A. 320 B. 310 C. 39 D. 920

Over Chapter 9 Find (5 a 2) (– 7 a 3). Express using positive exponents. A. – 35 a 5 B. – 12 a 6 C. – 12 a 5 D. 35 a 5

Over Chapter 9 Express using positive exponents A. B. C. D.

Over Chapter 9 Which of the following equations represents the graph shown? A. y = 3 x 3 B. y = 3 x 2 + 2 x – 2 C. y = 3 x – 2 D. y = 3 x

You have already evaluated expressions containing squares of numbers. (Lesson 8– 1) • Find square roots. • Estimate square roots.

• perfect square- is the square root of an integer. • square root- of a number is one of its 2 equal factors. • radical sign- is used to indicate a positive square root.

Find Square Roots A. Answer: 8

Find Square Roots B. Answer: – 11

Find Square Roots Answer: +16 and – 16

Find Square Roots D. Answer: There is no square root because no number times itself is equal to – 9.

A. A. 624 B. 12. 5 C. 5 D. – 5

B. A. 12 B. – 12 C. – 72 D. – 20, 736

C. A. 4 B. – 4 C. 4 and – 4 D. 256 and – 256

D. A. – 8 B. 8 C. – 32 D. There is no real square root.

Estimate Square Roots A. The first perfect square less than 22 is 16. The first perfect square greater than 22 is 25. Answer: 5

Estimate Square Roots B. The first perfect square less than 319 is 289. The first perfect square greater than 319 is 324. Answer: – 18

A. A. 6 B. 7 C. 8 D. 9

Use a Calculator to Estimate a Square Root 2 nd 57 ENTER 7. 549834435 Use a calculator. Round to the nearest tenth. Check for Reasonableness Since 82 = 64, the answer is reasonable.

A. 3. 9 B. 9. 8 C. 38. 5 D. There is no real square root.

Use a Calculator to Estimate a Negative Square Root 2 nd 42 ENTER 6. 480740698 Use a calculator. Round to the nearest tenth. Check for Reasonableness Since 72 = 49, the answer is reasonable.

A. – 8. 5 B. – 36. 0 C. 8. 5 D. There is no real square root.

Use Square Roots to Solve Problems SKYSCRAPER The tallest building in Houston, Texas, is the JP Morgan Chase Tower, standing at 1002 feet. About how far to the horizon can a person standing on the top floor see? Round your answer to the nearest tenth. Write the formula. Replace h with 1002. Evaluate the square root first.

Use Square Roots to Solve Problems ≈ 38. 6 Multiply. Answer: On a clear day, a person could see about 38. 6 miles.

A. 23. 2 miles B. 23. 3 miles C. 23. 7 miles D. 24. 4 miles