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Exponents and Powers. 34343434 3 × 3 × 3 × 3 9 × 9 81.

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Presentation on theme: "Exponents and Powers. 34343434 3 × 3 × 3 × 3 9 × 9 81."— Presentation transcript:

1 Exponents and Powers

2 34343434 3 × 3 × 3 × 3 9 × 9 81

3 Write each product using exponent form. 1.11 × 11 × 11 11³ 2.15 × 15 × 8 × 8 15² × × × × 8²

4 Evaluate each expression. Find the standard form. 5.3 squared 32323232 3 × 3 3 × 39 6. 4 2 × 3 3 6. 4 2 × 3 3 4 × 4 × 3 × 3 × 3 4 × 4 × 3 × 3 × 3 16 × 27 16 × 27 432 432

5 Exponent Form FactorForm Standard Form 2525 2x2x2x2x232 7272 7x749 4343 4x4x464 10 4 10x10x10x1010,000 5353 5x5x5125

6 Powers of ten Place Value Value Exponent Form Factor Form FormStandardForm Ones 10 0 1 Tens 10 1 1010 Hundreds 10 2 10x10100 Thousands 10 3 10x10x101000 Ten Thousands 10 4 10x10x10x1010,000 Hundred Thousands 10 5 10x10x10x10x10100,000 Millions 10 6 10x10x10x10x10x 10 1,000,000

7

8 BASE Exponents tell how many times a number, called a BASE, is used as a factor. 7² = 7 x 7 In 6 x 6, 6 is used as a factor twice. When you compute 6 x 66²SQUARE of 6. 6 x 6 or 6², you are finding the SQUARE of 6. 6 6

9 36, 49, and 625 are called PERFECT SQUARES, because they are the squares of whole numbers. Numbers like 36, 49, and 625 are called PERFECT SQUARES, because they are the squares of whole numbers. 6 6 PerfectSquare 6 is the number you would square to If 6 is the number you would square to find 36, then 6 is the square root of 36. 6² = 36 √36 = 6

10 What number would you square or is the square root of 9? 9 3 3 A radical sign ( √ ) is placed over a number when the square root is requested.

11 Construct a Square Root Chart with your partner showing the numbers that 1-20 are the square roots of! Example Square Root √ 1 1 √ 4 2 √ 9 3 √ 16 4 √ 25 5

12 What number would you square or is the square root of the following numbers: 1) √ 81 = 2) √ 121 = 3) √ 49 = 4) √ 196 = 9 11 7 14 ( 9 x 9 ) ( 11 x 11 ) ( 7 x 7 ) ( 14 x 14 )

13 If a number is not a perfect square, its square root can be estimated by finding two numbers on either side of that number. The estimated square root would be a number between the two numbers. Square Root √ 1 1 √ 4 2 √ 9 3 √ 16 4 √ 25 5 √ 20 4.5 about 4.5

14 Estimate the square root of the following numbers! 1) √ 132 2) √ 200 3) √ 352 4) √ 28 5) √ 61 6) √ 72 √ 121√ 144 √ 132 11 12 11.5 √ 196 √ 225 √ 200 1415 14.2 18.7 5.2 7.8 8.5 √ 324√ 361 √ 352

15 Quiz #602 Answer Key 1)McDonald’s 2) Mc Donald’s n x 28 = 10 n = 36%.36 x 360 = 130 ° 28 28 Taco Bell n x 28 = 12 n = 43%.43 x 360 = 155 ° 28 28 Orange Julius Orange Julius n x 28 = 6 n = 21%.21 x 360 = 75 ° 28 28 McDonald’s Orange Julius Taco Bell 3)


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