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Lesson 4-8 Pages Scientific Notation Lesson Check 4-7

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What you will learn! 1. How to express numbers in standard form and in scientific notation. 2. How to compare and order numbers written in scientific notation.

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Scientific notation

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What you really need to know! When you deal with very large numbers like 5,000,000 or very small numbers like , it is difficult to keep track of place value. Numbers such as these can be written in scientific notation.

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What you really need to know! A number is expressed in scientific notation when it is written as a product of a factor and a power of 10. The factor must be greater than or equal to 1 and less than 10.

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What you really need to know! It looks like a multiplication problem. The decimal point is going for a walk!

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Example 1: Express each number in standard form: x ,950.

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What you really need to know! Since our number system is based on 10, scientific notation always uses 10 raised to a power HundredsTensOnesTenthsHundredthsThousandths Place Value Chart

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Example 2: Express each number in standard form: 6 79 x

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Example 3: Express each number in scientific notation: 800, x 10 5

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Example 4: Express each number in scientific notation: 1,320, x 10 6

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Example 5: Express each number in scientific notation: x 10 -2

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Example 6: Use the table: Estimate how many times farther Pluto is form the Sun than Mercury is from the Sun.

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(5.90 x 10 9 ) ÷ (5.80 x 10 7 ) Pluto is about 100 times farther from the Sun than Mercury!

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Example 7: The diameters of Mercury, Saturn, and Pluto are 4.9 x 10 3 km, 1.2 x 10 5 km, and 2.3 x 10 3 km respectively. List the planets in order of increasing diameter. Pluto, Mercury, Saturn

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Page 188 Guided Practice #’s 3-11

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Pages with someone at home and study examples! Read:

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Homework: Pages #’s even #’s Lesson Check Ch-4

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Page 733 Lesson 4-8

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Lesson Check Ch-4

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Study Guide and Review Pages #’s 1-65 (Odd answers in back of book)

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Prepare for Test! Page 195 #’s 1-30

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1. A number is divisible by 2 if it is even. (The ones digit is 2, 4, 6, 8, 0) A number is divisible by 3 if the sum of the digits equal a multiple of 3. A number is divisible by 5 if the ones digit is 0 or 5. A number is divisible by 6 if it is divisible by both 2 and 3. A number is divisible by 10 if the ones digit is 0.

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2. A prime number has exactly two factors. Examples: 2, 3, 5, 7, 11, 13, 17, 19, … A composite number has three or more factors. Examples: 4, 6, 8, 9, 10, 12, 14, 15, 16, 18, … 0 and 1 are neither prime or composite!

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3. A fraction is in simplest form when the only common factor between the numerator and denominator is 1. Examples:

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4. Yes 5. No (-2) 3 a 2 3 r r 9. 2 5 5 x y y 10. 7(1 + 3p)

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13. 4ab 14. 3/ / m 2 / x w / /t 6

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22. 1/(yz) , x x x /4 30. A

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Prepare for Test! Pages #’s 1-21

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