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Using a Power EXAMPLE 3 Cliff Height A stone falls over the edge of a cliff next to a waterfall. The stone hits the water 5 seconds later. How tall is.

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Presentation on theme: "Using a Power EXAMPLE 3 Cliff Height A stone falls over the edge of a cliff next to a waterfall. The stone hits the water 5 seconds later. How tall is."— Presentation transcript:

1 Using a Power EXAMPLE 3 Cliff Height A stone falls over the edge of a cliff next to a waterfall. The stone hits the water 5 seconds later. How tall is the cliff? To find the height of the cliff use the expression 16 t 2, the distance in feet that an object falls in t seconds after it begins to fall. Substitute 5 for t. Evaluate the power. =16 (25) = 400 Multiply. The height of the cliff is 400 feet.ANSWER 16 t 2 = 16 (5) 2

2 Using the Order of Operations EXAMPLE 4 a. (6 - 4) – = + – = 7 Evaluate inside grouping symbols. Evaluate powers. Add and subtract from left to right. Evaluate the expression. = –

3 Using the Order of Operations EXAMPLE 4 Evaluate inside grouping symbols. 16= = 13.2 Evaluate powers. Multiply and divide from left to right. b. 3.3 (7 1) =

4 GUIDED PRACTICE for Examples 3 and 4 (5 2) – – +8. Evaluate the expression. Evaluate inside grouping symbols. (3) 3 – = = 27 – Evaluate powers. = Subtract. = 84 Add.

5 GUIDED PRACTICE for Examples 3 and 4 Evaluate the expression (4 + 2) – 9. – (6) = = – 16 = Evaluate inside grouping symbols. Evaluate powers. Add. = 32.3

6 GUIDED PRACTICE for Examples 3 and 4 Evaluate the expression (7 6) 4 – = (1) 4 = = = 367 Evaluate inside grouping symbols. Evaluate powers. Add.

7 GUIDED PRACTICE for Examples 3 and What If? Suppose the falling stone in Example 3 took 8 seconds to hit the water. Evaluate the expression to find the height of the cliff. 16 t 2 Substitute 8 for t. Evaluate the power. =16 (64) = 1024 Multiply. The height of the cliff is 1024 feet.ANSWER = 16 (8) 2


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