Exploring Square Roots and Irrational Numbers

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Presentation transcript:

Exploring Square Roots and Irrational Numbers LESSON 1-2 Additional Examples Find the two square roots of 81. 9 • 9 = 81 –9 • (–9) = 81 The two square roots of 81 are 9 and –9.

Exploring Square Roots and Irrational Numbers LESSON 1-2 Additional Examples Estimate the value of – 70 to the nearest integer. Since 70 is closer to 64 than it is to 81, – 70 –8.

Exploring Square Roots and Irrational Numbers LESSON 1-2 Additional Examples The math class drops a small ball from the top of a stairwell. They measure the distance to the basement as 48 feet. Use the formula d = 16t2 to find how long it takes the ball to fall. 48 = 16t2 Substitute 48 for d. d = 16t2 Use the formula. = t2 Divide each side by 16. 48 16 3 = t2 Simplify.

Exploring Square Roots and Irrational Numbers LESSON 1-2 Additional Examples (continued) 3 = t Find the positive square root. Use a calculator. 3 1.7320508 Round to the nearest tenth. 1.7 t It takes about 1.7 seconds for the ball to fall 48 ft.

Exploring Square Roots and Irrational Numbers LESSON 1-2 Additional Examples Identify each number as rational or irrational. Explain. a. –9.3333 Rational; the decimal repeats. b. 4 7 9 Rational; the number can be written as the ratio . 43 9 c. 90 Irrational; 90 is not a perfect square. Irrational; the decimal does not terminate or repeat. d. 6.36366366636666. . .