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Scientific Notation

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# Scientific Notation - PowerPoint PPT Presentation

IWBAT write, evaluate, and calculate numbers with scientific notation. Scientific Notation. What is scientific notation?. Scientific notation provides a way to write numbers using powers of ten. Written as a product of 2 factors.

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### Scientific Notation

What is scientific notation?
• Scientific notation provides a way to write numbers using powers of ten.
• Written as a product of 2 factors.
• The first factor is a number greater than or equal to one BUT less than ten.
• The second factor is a power of 10.
• 7,500,000,000,000 = 7.5 x 10

**Scientific Notation lets you know the size of a number without having to count the digits!

About 4,200,000 people visit the Statue of Liberty every year. Write this number in scientific notation.
• 4,200,000
• 4.2
• 4.2 x 10 ⁶
• Move the decimal point to get a decimal greater than 1 but less than 10.
• Drop the zeros after the 2.
• You moved the decimal point 6 places. The number is large. Use 6 as the exponent of 10.
Write each number in scientific notation.
• 54,500,000
• 723,000
• 602,000,000,000
Write 0.000079 in scientific notation.
• 0.000079
• 7.9
• 7.9 x 10⁻⁵
• Move the decimal point to get a decimal greater than 1 but less than 10.
• Drop the zeros before the 7.
• You moved the decimal point 5 places. The number is small. Use -5 as the exponent of 10.
Write each number in scientific notation.
• 0.00021
• 0.00000005
• 0.0000000000803
Write each number in standard notation.
• 8.9 x 10⁵
• 8.9000
• Write zeros while moving the decimal point.
• 890,000
• Rewrite in scientific notation.
• 2.71 x 10⁻⁶
• 000002.71
• Write zeros while moving the decimal point.
• 0.00000271
• Rewrite in scientific notation.
Write each number in standard notation.
• 3.21 x 10⁷
• 5.9 x 10⁻⁸
• 1.006 x 10