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Mathematics 9 Online
OpenStudy (anonymous):

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

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

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

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

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

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

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?

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!!

OpenStudy (anonymous):

now that number is will be the exponent of the ten

OpenStudy (anonymous):

so the answer is 1.265 * 10^10

OpenStudy (anonymous):

thanks

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