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Mathematics 14 Online
OpenStudy (anonymous):

I need help with the problem shown at http://pbckt.com/pK.uBYzsG . The link is not spam. Thanks.

OpenStudy (anonymous):

@saifoo.khan

OpenStudy (agent0smith):

An easy way to do these is to remember that for each time you move the decimal point the right, you subtract 1 from the exponent on the 10. Each time you move the decimal point to the left, you add 1 to the exponent on the 10.

OpenStudy (saifoo.khan):

The exponent is NEGATIVE. So this means the value will be very very small.

OpenStudy (anonymous):

ah. okay.

OpenStudy (anonymous):

so. what would the answer be?

OpenStudy (anonymous):

j?

OpenStudy (agent0smith):

Well how many times do you need to move the decimal point? Try it like this: if we move the decimal point once to the left, the number becomes: \[0.25 \times 10^{-8}\]

OpenStudy (anonymous):

oh.

OpenStudy (anonymous):

h then.

OpenStudy (anonymous):

saifoo said the amount would be small, so f and g are big therefore not the answers,no?

OpenStudy (agent0smith):

Yep, since it's 10^-9, it's a small number. We need to move the decimal point 9 places to the left.

OpenStudy (anonymous):

okedoke:) i get it now:D

OpenStudy (agent0smith):

Which answer did you get?

OpenStudy (anonymous):

h,no?

OpenStudy (agent0smith):

Try it to check. Write 2.5 and move the decimal point 9 places to the left, and then see how many zeroes there'll be.

OpenStudy (anonymous):

okedoke, i am doing so right now

OpenStudy (anonymous):

oh. 9

OpenStudy (anonymous):

:0 its a miracle! lol

OpenStudy (agent0smith):

So it should look like this after moving it 9 times: 0.0000000025 which is answer...

OpenStudy (anonymous):

h.

OpenStudy (agent0smith):

Count how many zeroes are between the decimal point and the 2

OpenStudy (anonymous):

okay

OpenStudy (agent0smith):

And then compare that to how many zeroes are between the decimal and the 2 in: 0.0000000025

OpenStudy (anonymous):

eight?

OpenStudy (agent0smith):

Yep, so which of h or j has eight zeroes between the decimal and the 2?

OpenStudy (anonymous):

so. it Is j,

OpenStudy (agent0smith):

Yep.

OpenStudy (anonymous):

thank you:)

OpenStudy (agent0smith):

No prob. And remember that for each time you move the decimal point the right, you subtract 1 from the exponent on the 10. Each time you move the decimal point to the left, you add 1 to the exponent on the 10.

OpenStudy (anonymous):

okedoke:)

OpenStudy (agent0smith):

It helps to remember it like this: |dw:1355454999571:dw| This way you can easily remember "okay, i need to move the decimal to the left, so i have to add 1 to the exponent for each time i move it" and vice versa if you're moving the decimal to the right, you subtract 1 from the exponent each time.

OpenStudy (anonymous):

thanks.:)

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