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Published byVivian Pitts Modified over 9 years ago
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Science often deals with large numbers. The number of hydrogen atoms in a liter of water is almost 70,000,000,000,000,000,000,000,000
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To write out such large numbers every time you use them would be a lot of trouble. Performing calculations on these numbers would be confusing.
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Scientific Notation To deal with these large numbers, scientist use scientific notation. All numbers are expressed as two numbers multiplied together. The first number is between 1 and 10 and the second is a power of 10. 200 is written: 2.0 x 10 2
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Scientific Notation Examples 450,000,000 Step 1 move the decimal point to the left until the number to the left of the decimal point is between 1 and 10. 4.50000000
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Scientific Notation Examples Determine the size of the exponent. The exponent is equal to the number of places you moved the decimal point. 4.50000000 8 places Step 3: Determine the sign of the exponent. If you move the decimal to the left the sign is positive. 4.5 x 10 8
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Try these on your paper: 1. 634,000 2. 533 3. 1,900,000 4. 87,000
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Very Small Numbers.000062 Step 1: Move the decimal point to the right until the number to the left of the decimal point is between 1 and 10 00006.2
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Very Small Numbers Step 2: Determine the exponent by counting the number of places you moved the decimal. 00006.2 is equal to 5 places Step 3 Determine the sign of the exponent. If you move the decimal to the right, the exponent will be negative: 6.2 x 10 -5
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Try these on your paper: 5..000053 6..00421 7..000000088 8..012
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