anonymous
  • anonymous
Find the product of 21 and (6.3 • 10^-4). 0.1323 • 10^-1 1.323 • 10^-3 1.323 • 10^-2 1.323 • 10^2
Mathematics
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anonymous
  • anonymous
Find the product of 21 and (6.3 • 10^-4). 0.1323 • 10^-1 1.323 • 10^-3 1.323 • 10^-2 1.323 • 10^2
Mathematics
schrodinger
  • schrodinger
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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MrNood
  • MrNood
first multiply 21 * 6.3 and write it in the exponent form post you answer here
anonymous
  • anonymous
132.3
MrNood
  • MrNood
can you write that in 'exponent form ? like 1.56 * 10^2

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anonymous
  • anonymous
Is it 132.3 * 10^0?
MrNood
  • MrNood
that is one way to write it can you write it as 1.323 * 10^?
anonymous
  • anonymous
is it possible, you're asking?
MrNood
  • MrNood
no - it is possible can you do it - what is the value of ? so that 132.3 is the same as 1.323 *10^?
anonymous
  • anonymous
I know that you have to move the decimal over two spaces to the left by dividing it by 100. That IS correct, right? XD
MrNood
  • MrNood
yes 132.3= 1.323*100 = 1.323 *10^? what is the value of ? in the above?
anonymous
  • anonymous
I have no clue. 1.323*100 is 132.3 but that's what we started with...
MrNood
  • MrNood
the point of the exercise is to be able to express numbers in exponent form (or sometimes called scientific notation) you can see maybe that (for example) 1101 = 110.1 *10^1 1101 = 11.01 * 10^2 1101 = 1.101 * 10^3 1101 = .1101 * 10 ^4 SO using the same idea can you look at 132.3= 1.323*100 = 1.323 *10^?
anonymous
  • anonymous
is it... 1.323 • 10^-3
anonymous
  • anonymous
is it... 1.323 • 10^-3
MrNood
  • MrNood
132.3= 1.323*100 we are multiplying by 100 how would you write 100 = 10^?
anonymous
  • anonymous
eh... I dont know
MrNood
  • MrNood
Well I'm afaid you are probably not ready to tackle questions like this then. The key point is that we can move the decimal point where we want - as LONG AS we multiply by 10^? to compensate. BUT you must know that 10^0 =1 10^1 = 10 10^2 = 100 10^3 = 1000 etc.
anonymous
  • anonymous
Oh! Oh that makes sense
MrNood
  • MrNood
how would you write 100 = 10^?
anonymous
  • anonymous
100 would be 10^2
MrNood
  • MrNood
OK so lets go back toi the original question 21 *6.3 • 10^-4 you worked out was the same as 132.3 *10^4 which is the same as 1.323 *10^2 * 10^-4 so what happens when you multiply 2 numbers with exponents? 10^2 * 10^-4 = 10 ^?
anonymous
  • anonymous
When you multiply 2 numbers with exponents dont you add the exponents and if the bases are the same then you keep them as that number? So this would be 10^-2?
MrNood
  • MrNood
excellent - so you have your answer now
anonymous
  • anonymous
Ah! Thank you so much

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