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Multiplying and Dividing by Powers of 10
By jimbabweiberg
The instructor uses an interactive white board to show that multiplying a decimal by 10 100 1 000 or 10 000 moves the decimal one two three or four places to the right. He displays a calculator to show this as well. He also explains and shows that dividing by a power of 10 moves the decimal place to the left according to the number of zeros in the number you are multiplying by.
Dividing Scientific Notation | MathHelp.com
By MathHelp.com
To multiply numbers that are in written in scientific notation, such as 1.4 x 10 to the -2nd times 5.3 times 10 to the 6th, we first multiply the decimals, in this case 1.4 times 5.3, to get 7.42. Next, we multiply the powers of 10, in this case 10 to the -2nd times 10 to the 6th. Notice that we’re multiplying two powers that have like bases, so we add the exponents and leave the base the same, to get 10 to the -2 + 6, or 10 to the 4th. So we have 7.42 times 10 to the 4th. Finally, we’re asked to write our answer in scientific notation. Notice, however, that 7.42 times 10 to the -4th is already written in scientific notation, because we have a decimal between 1 and 10 that is multiplied by a power of 10. So we have our answer.
Learn to Convert Decimals to Fractions (Change a Decimal into a Fraction) - [21]
By Math and Science
Quality Math And Science Videos that feature step-by-step example problems!
Multiplying and dividing with significant figures | Decimals | Pre-Algebra | Khan Academy
By Khan Academy
This video takes us through some real world examples of when we should use significant figures when multiplying and dividing. An important note: never consider significant figures until you have reached your FINAL ANSWER. Otherwise, rounding too early will produce more uncertainty about your solution.
