SOLUTION: write (8.4x10^3)(6.5x10^5) in scientific notation

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Question 183049This question is from textbook Algebra 2
: write (8.4x10^3)(6.5x10^5) in scientific notation This question is from textbook Algebra 2

Found 2 solutions by stanbon, jim_thompson5910:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
write (8.4x10^3)(6.5x10^5) in scientific notation
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= 8.4*6.5 *10^3*10^5
= 54.6 * 10^8
Divide the 54.6 by 10 and multiply the 10^8 by 10
= 5.46*10^9
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Cheers
Stan H.
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Cheers,
Stan H.

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Step 1) Multiply the coefficients 8.4 and 6.5 to get 8.4%2A6.5=54.6

Step 2) Convert the previous result to scientific notation (if it is not already). So 54.6=5.46%2A10%5E1


So this means that the expression %288.4%2A10%5E3%29%286.5%2A10%5E5%29 now becomes 5.46%2A10%5E1%2A%2810%5E3%29%2A%2810%5E5%29


Step 3) Now multiply out 10%5E1%2A%2810%5E3%29%2A%2810%5E5%29 by adding the exponents: 10%5E1%2A%2810%5E3%29%2A%2810%5E5%29=10%5E%281%2B3%2B5%29=10%5E9


Now putting everything together, we get the result 5.46%2A10%5E9

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Answer:

So %288.4%2A10%5E3%29%286.5%2A10%5E5%29=5.46%2A10%5E9