Last year, a large trucking company delivered 5.5x10^5 tons of goods with an average value of $23,000 per ton. What was the total value of the goods delivered? Write the answer in scientific notation.
A.1.265x10^9 dollars
B. 1.265x10^10 dollars
C. 1.265x10^12 dollars
D.1.265x10^11 dollars
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OpenStudy (anonymous):
well this is simple
OpenStudy (anonymous):
first find the numeric value of 5.5 x10^5
OpenStudy (anonymous):
@ZachKetchup what would that be?
OpenStudy (anonymous):
just move the decimal 5 times to the right
OpenStudy (anonymous):
in 5.5
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OpenStudy (anonymous):
how do you find the numeric value ?
OpenStudy (anonymous):
like I said, move the exponent number above the 10 to the right
OpenStudy (anonymous):
that would be 55 one, 550 two, 5500 three, 55000 four, and 550000 five
OpenStudy (anonymous):
@ZachKetchup so now using a calculator, what is 550000 * 23000?
OpenStudy (anonymous):
remember, the number in scientific notaion cannot be more than ten or less than 1
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OpenStudy (anonymous):
12 650 000 000
OpenStudy (anonymous):
so now move the decimal as far as you can the left without making it more than 10 or less than 1
OpenStudy (anonymous):
@ZachKetchup what would that be?
OpenStudy (anonymous):
12 650 ?
OpenStudy (anonymous):
thats way more than 10
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OpenStudy (anonymous):
move it 4 spaces more and what do you have?
OpenStudy (anonymous):
we are trying to get it less than 10
OpenStudy (anonymous):
12 650 000 0
OpenStudy (anonymous):
no to the left
OpenStudy (anonymous):
from 12650
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OpenStudy (anonymous):
move the decimal four spaces, to the left
OpenStudy (anonymous):
1 ?
OpenStudy (anonymous):
.1
OpenStudy (anonymous):
the answer would be 1.265
OpenStudy (anonymous):
that number is less than 10, more than 1
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OpenStudy (anonymous):
we moved the decimal space how many times to the left from 12,650,000,000
OpenStudy (anonymous):
the decimal point, 12650000000. <-
OpenStudy (anonymous):
we moved it to 1.<-265 here
OpenStudy (anonymous):
how many numbers did it jump?
OpenStudy (anonymous):
do you understand what I am trying to tell you?
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OpenStudy (anonymous):
it jumped three numbers
OpenStudy (anonymous):
no let me redo that 1.<-2650000000
OpenStudy (anonymous):
how many numbers is 1.(2650000000) in the parentheses?
OpenStudy (anonymous):
10
OpenStudy (anonymous):
Yes!!
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OpenStudy (anonymous):
now that number is will be the exponent of the ten