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Scientific Notation. Essential Question. How do I use scientific notation to represent numbers?. How do we write numbers in Scientific Notation?. To put a number in scientific notation, first move the decimal to the right or left until the number is greater than 1, but less than 10.
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Essential Question • How do I use scientific notation to represent numbers?
How do we write numbers in Scientific Notation? • To put a number in scientific notation, first move the decimal to the right or left until the number is greater than 1, but less than 10. • Then write the power of 10 • By moving the decimal 3 places to the left, we really divided by 1000. So we have to multiply by 103 in order to represent the original number. • Example: 2 6 7 8 × 103
Example 1 • Write in scientific notation. 3 4,6 9 0 = 3.4690 × 104
Example 2 • Write in scientific notation. 0 0 3 9 = 3.9 × 10-2
Example 3 • Write in scientific notation. 5,6 0 0,0 0 0,0 0 0 = 5.6 × 109
Example 4 • Write in scientific notation. 0 0 0 0 7 2 2 = 7.22 × 10-4
Writing in Decimal form • To change a number from scientific notation to decimal form just move the decimal. • + Exponent: move right • - Exponent: move left
Example 5 • Write in decimal form. 2.834 × 102 = 2 8 3 4 = 283.4
Example 6 • Write in decimal form. 4.9 × 105 4 9 0 0 0 0 = 490,000
Example 7 • Write in decimal form. 7.8 × 10-1 = 7 8 = .78