Presentation is loading. Please wait.

Presentation is loading. Please wait.

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.

Published byHector Skinner Modified over 9 years ago

Similar presentations

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) 3 3 2 2 + – 8 3 4 = + – = 7 Evaluate inside grouping symbols. Evaluate powers. Add and subtract from left to right. Evaluate the expression. = –2323 + 32

3 Using the Order of Operations EXAMPLE 4 Evaluate inside grouping symbols. 16= 3.3 64 = 13.2 Evaluate powers. Multiply and divide from left to right. b. 3.3 (7 1) 2 4 2 += 3.3 8 2 42

4 GUIDED PRACTICE for Examples 3 and 4 (5 2) 3 7 4 3 – – +8. Evaluate the expression. Evaluate inside grouping symbols. (3) 3 – 7 + 4 3 = = 27 – 7 + 64 Evaluate powers. = 20 + 64 Subtract. = 84 Add.

5 GUIDED PRACTICE for Examples 3 and 4 Evaluate the expression. 12.3 + (4 + 2) 2 2 4 – 9. – 12.3 + (6) 2 2 4 = = 12.3 + 36 – 16 = 12.3 +20 Evaluate inside grouping symbols. Evaluate powers. Add. = 32.3

6 GUIDED PRACTICE for Examples 3 and 4 Evaluate the expression. 10. 7 3 + 24 (7 6) 4 – = 7 3 + 24 (1) 4 = 7 3 +24 = 343 + 24 = 367 Evaluate inside grouping symbols. Evaluate powers. Add.

7 GUIDED PRACTICE for Examples 3 and 4 11. 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

Download ppt "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."

Similar presentations

Evaluate this: 6-5x3÷5+1= Order of Operations Main Idea Evaluate expressions using the order of operations.

Evaluate this: 6-5x3÷5+1= Order of Operations Main Idea Evaluate expressions using the order of operations.
Example 1 Multiplying Integers a. 3 () 4 – Different signs, so product is negative. = 12 – b. () 3 – 6 – Same sign, so product is positive. = 18 c. ()

Example 1 Multiplying Integers a. 3 () 4 – Different signs, so product is negative. = 12 – b. () 3 – 6 – Same sign, so product is positive. = 18 c. ()
Divide. Evaluate power. 27 3 2 2 – 3 = 27 9 2 – 3 EXAMPLE 1 27 9 2 – 3 = 3 2 – 3 3 2 – 3 = 6 – 3 Multiply. Evaluate expressions Multiply and divide from.

Divide. Evaluate power – 3 = – 3 EXAMPLE – 3 = 3 2 – – 3 = 6 – 3 Multiply. Evaluate expressions Multiply and divide from.
1.2 Apply order of operations

1.2 Apply order of operations
Evaluate expressions with grouping symbols

Evaluate expressions with grouping symbols
Evaluate the expression for the given value(s) of the variable(s).

Evaluate the expression for the given value(s) of the variable(s).
EXAMPLE 6 Write a quadratic function in vertex form Write y = x 2 – 10x + 22 in vertex form. Then identify the vertex. y = x 2 – 10x + 22 Write original.

EXAMPLE 6 Write a quadratic function in vertex form Write y = x 2 – 10x + 22 in vertex form. Then identify the vertex. y = x 2 – 10x + 22 Write original.
EXAMPLE 1 Multiplying Integers

EXAMPLE 1 Multiplying Integers
Solve an equation with variables on both sides

Solve an equation with variables on both sides
EXAMPLE 3 Combining Like Terms a. 3x + 4x = (3 + 4)x = 7x b.

EXAMPLE 3 Combining Like Terms a. 3x + 4x = (3 + 4)x = 7x b.
EXAMPLE 3 Using the Associative Property 3 5 + 2 5 3+ = 3 5 + 2 5 +3 5 5 +3 = Associative property of addition Add fractions. Write as one. 5 5 Add. 4=

EXAMPLE 3 Using the Associative Property = = Associative property of addition Add fractions. Write as one. 5 5 Add. 4=
EXAMPLE 2 Evaluate exponential expressions a. 6 – 4 6 4 Product of a power property = 6 0 Add exponents. = 1 Definition of zero exponent = 6 – 4 + 4.

EXAMPLE 2 Evaluate exponential expressions a. 6 – Product of a power property = 6 0 Add exponents. = 1 Definition of zero exponent = 6 –
EXAMPLE 5 Model a dropped object with a quadratic function

EXAMPLE 5 Model a dropped object with a quadratic function
Using Grouping Symbols

Using Grouping Symbols
Order of Operations Chapter 1 Section 2 Part 1 and Part 2.

Order of Operations Chapter 1 Section 2 Part 1 and Part 2.
Base: the number that is multiplied Power: the number that is expressed as the exponent Exponent: tell how many times the base is used as a factor Standard.

Base: the number that is multiplied Power: the number that is expressed as the exponent Exponent: tell how many times the base is used as a factor Standard.
Orders of Operations Section 1.6. Objective Perform any combination of operations on whole numbers.

Orders of Operations Section 1.6. Objective Perform any combination of operations on whole numbers.
Order of Operations Also known to as PEMDAS. EXAMPLE 1 Following Order of Operations Music You buy a used guitar for $50. You then pay $10 for each of.

Order of Operations Also known to as PEMDAS. EXAMPLE 1 Following Order of Operations Music You buy a used guitar for $50. You then pay $10 for each of.
How do you simplify using order of operations and exponents? Section 1-2.

How do you simplify using order of operations and exponents? Section 1-2.
EXAMPLE 1 Following Order of Operations Music You buy a used guitar for $50. You then pay $10 for each of five guitar lessons. The total cost can be found.

EXAMPLE 1 Following Order of Operations Music You buy a used guitar for $50. You then pay $10 for each of five guitar lessons. The total cost can be found.

Similar presentations

Ads by Google