Scientific Notation Practice #1 - Weebly



Scientists often deal with very small numbers and very large numbers, which can lead to a lot of confusion when counting zeros. center2590800Example A: Convert 1,500,000 to scientific notation.We move the decimal point so that there is only one digit to its left, a total of 6 places. 1,500, 000 = 1.5 X 106Example B: Convert 0.000025 to scientific notation. For this, we move the decimal point 5 places to the right.0.000025 = 2.5 X 10-5(Note that when a number starts out less than one, the exponent is always negative.)00Example A: Convert 1,500,000 to scientific notation.We move the decimal point so that there is only one digit to its left, a total of 6 places. 1,500, 000 = 1.5 X 106Example B: Convert 0.000025 to scientific notation. For this, we move the decimal point 5 places to the right.0.000025 = 2.5 X 10-5(Note that when a number starts out less than one, the exponent is always negative.)Scientific Notation takes the form M X 10n where 1 ≤ M < 10 and “n” represents the number of decimal places to be moved. A positive “n” indicates the standard form is a large number (larger than 1). Negative “n” indicates the standard form is a small number between zero and one (smaller than 1).Convert the following to scientific notation.0.005= ___________________6. 0.55= ___________________5,050= ___________________7. 0.055= ___________________0.0008= ___________________8. 0.0055= ___________________1,000= ___________________9. 768= ___________________1,000,000= ___________________10. 7,000= ___________________Convert the following to standard notation.1 X 105= ___________________16. 6.69 X 10-1= ___________________1.3 X 10-3= ___________________17. 1.5 X 103= ___________________8.63 X 104= ___________________18. 1 X 10-1= ___________________8.63 X 10-4= ___________________19. 2.3687 X 104= ___________________4.4 X 104= ___________________20. 7 X 100= ___________________ ................
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