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**The table shows relationships between several powers of 10.**

Each time you divide by 10, the exponent decreases by 1 and the decimal point moves one place to the left.

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**The table shows relationships between several powers of 10.**

Each time you multiply by 10, the exponent increases by 1 and the decimal point moves one place to the right.

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**Find the value of each power of 10.**

B. 104 C. 109 Start with 1 and move the decimal point six places to the left. Start with 1 and move the decimal point four places to the right. Start with 1 and move the decimal point nine places to the right. 10,000 1,000,000,000

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You may need to add zeros to the right or left of a number in order to move the decimal point in that direction. Writing Math

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You can also move the decimal point to find the value of any number multiplied by a power of 10. You start with the number rather than starting with 1. Multiplying by Powers of 10

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**Find the value of each expression.**

Move the decimal point 8 places to the right. 2,389,000,000 B. 467 10–3 4 6 7 Move the decimal point 3 places to the left. 0.467

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**Find the value of each expression.**

b 10–2

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Scientific notation is a method of writing numbers that are very large or very small. A number written in scientific notation has two parts that are multiplied. The first part is a number that is greater than or equal to 1 and less than 10. The second part is a power of 10.

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**Saturn has a diameter of about km**

Saturn has a diameter of about km. Its distance from the Sun is about 1,427,000,000 km. Write Saturn’s diameter in standard form. Move the decimal point 5 places to the right. 120,000 km

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**Standard form refers to the usual way that numbers are written—not in scientific notation.**

Reading Math

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**Use the information above to write Jupiter’s diameter in scientific notation.**

143,000 km Count the number of places you need to move the decimal point to get a number between 1 and 10. 5 places Use that number as the exponent of 10. 1.43 105 km

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**Use the information above to write Jupiter’s orbital speed in standard form.**

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Write each number in standard form. 3.253 x 106 x 10-5 4.395 x 104 6.79 x 10-6

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**Express each number in scientific notation.**

800,000 1,320,000 0.0119

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**Order the list of numbers from least to greatest.**

Step 1 List the numbers in order by powers of 10. Step 2 Order the numbers that have the same power of 10.

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**Order the list of numbers from least to greatest.**

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7.10 Scientific Notation Objective: To use scientific notation. Warm – up: Express each number as a power of 10. 1)1002) 103) 1 4) 5)

7.10 Scientific Notation Objective: To use scientific notation. Warm – up: Express each number as a power of 10. 1)1002) 103) 1 4) 5)

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