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Intermediate Algebra Skill Multiplying and Dividing Using Scientific Notation Form

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How to divide scientific notation

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Instructions and help about intermediate algebra skill

in this lesson we're going to focus on multiplying two numbers in scientific notation so let's start with this example let's say if we have 4 times 10 to the 4 and we wish to multiply by 2 times ten to the three how can we do this now the first thing we need to do is multiply the numbers four and two four times two is equal to eight next we can focus on ten to the 4 times 10 to the 3. so what is 10 to the 4 multiplied by 10 to the 3 well since the bases are the same we are allowed to add the exponents so then this is equal to ten raised to the four plus three which is ten to the seven so the answer is eight times ten to the seven and that's a simple way in which you can multiply two numbers in scientific notation don't forget to add the exponents now let's try another example let's multiply three times ten to the five by two times ten to the seven so this is going to equal three times two multiplied by ten raised to the five plus seven three times two is six five plus seven is twelve

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