Sometimes, specifically when you space using a calculator, you may come up with a very long number. It could be a big number, prefer 2,890,000,000. Or it might be a small number, prefer 0.0000073.

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Scientific notation is a method to do these numbers much easier to work with. In clinical notation, friend move the decimal place until you have actually a number in between 1 and 10. climate you add a power of ten that tells how plenty of places you moved the decimal.

In scientific notation, 2,890,000,000 becomes 2.89 x 109. How?

Remember that any type of whole number can be written with a decimal point. Because that example: 2,890,000,000 = 2,890,000,000.0Now, relocate the decimal ar until you have a number between 1 and 10. If girlfriend keep moving the decimal allude to the left in 2,890,000,000 you will gain 2.89.Next, counting how many places you relocated the decimal point. You had to relocate it 9 places to the left to change 2,890,000,000 come 2.89. Girlfriend can display that you relocated it 9 areas to the left by noting the the number should be multiplied by 109.2.89 x 109 = 2.89 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 102.89 x 109 = 2,890,000,000

Scientific notation deserve to be used to turn 0.0000073 right into 7.3 x 10-6.

First, relocate the decimal location until you have actually a number in between 1 and 10. If girlfriend keep moving the decimal point to the ideal in 0.0000073 you will gain 7.3.Next, counting how numerous places you moved the decimal point. You had actually to relocate it 6 locations to the best to change 0.0000073 to 7.3. Friend can display that you relocated it 6 areas to the best by noting the the number have to be multiply by 10-6.7.3 x 10-6 = 0.0000073

Remember: in a power of ten, the exponent?the tiny number over and come the appropriate of the 10?tells which means you moved the decimal point.

A strength of ten through a positive exponent,
such together 105, means the decimal to be moved to the left.

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A power of ten v a negative exponent, such together 10-5, means the decimal was moved come the right.
Powers that Ten
billions109 = 1,000,000,00010 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 = 1,000,000,000
millions106 = 1,000,00010 x 10 x 10 x 10 x 10 x 10 = 1,000,000
hundred thousands105 = 100,00010 x 10 x 10 x 10 x 10 = 100,000
ten thousands104 = 10,00010 x 10 x 10 x 10 = 10,000
thousands103 = 1,00010 x 10 x 10 = 1,000
hundreds102 = 10010 x 10 = 100
tens101 = 10
ones100 = 1
tenths10?1 = 1/101/10 = 0.1
hundredths10?2 = 1/1021/102 = 0.01
thousandths10?3 = 1/1031/103 = 0.001
ten thousandths10?4 = 1/1041/104 = 0.0001
hundred thousandths10?5 = 1/1051/105 = 0.00001
millionths10?6 = 1/1061/106 = 0.000001
billionths10?9 = 1/1091/109 = 0.000000001