Writing Numbers in Scientific Notation

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Presentation transcript:

Writing Numbers in Scientific Notation EXAMPLE 1 Writing Numbers in Scientific Notation Stars There are over 300,000,000,000 stars in the Andromeda Galaxy. Write the number of stars in scientific notation. SOLUTION Standard form 300,000,000,000 Product form 3 100,000,000,000 Scientific notation 3 1011 Move decimal point 11 places to the left. Exponent is 11. ANSWER The number in scientific notation is 3 1011.

GUIDED PRACTICE for Example 1 Write the number in scientific notation. 1. 4000 SOLUTION Standard form 4000 Product form 4 1000 Scientific notation 4 103

GUIDED PRACTICE for Example 1 2. 7,300,000 SOLUTION Standard form 7,300,000 Product form 7.3 1,000,000 Scientific notation 7.3 106

GUIDED PRACTICE for Example 1 3. 63,000,000,000 SOLUTION Standard form 63,000,000,000 Product form 6.3 10,000,000,000 Scientific notation 6.3 1010

GUIDED PRACTICE for Example 1 4. 230,000 SOLUTION Standard form 230,000 Product form 2.3 100,000 Scientific notation 2.3 105

GUIDED PRACTICE for Example 1 5. 2,420,000 SOLUTION Standard form 2,420,000 Product form 2.42 1,000,000 Scientific notation 2.42 106

GUIDED PRACTICE for Example 1 6. 105 SOLUTION Standard form 105 Product form 1.05 100 Scientific notation 1.05 102