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Mathematics 12 Online
OpenStudy (anonymous):

Seventy percent of the Earth's surface is covered with water. find the approximate surface area of the Earth that is water? find the volume

OpenStudy (anonymous):

OpenStudy (anonymous):

Here again, just calculate the surface of a sphere with radius 3963 miles. Then get 70% of it (which is nothing but 0.7*surface area)

OpenStudy (anonymous):

for the surface area i get 1.97359488E8

OpenStudy (anonymous):

That is correct. Now multiply that by .7. Also, do you know what the E8 at the end means?

OpenStudy (anonymous):

no

OpenStudy (anonymous):

E8 means times 10^8. So, 1000 is 1.00E3, which means 1 * 10^3. So in your case, 1.9735E8 means 1.9735 * 10^8. Avoid using calculators if you can.

OpenStudy (anonymous):

1.9735 * 10^8*.7 is the surface area?

OpenStudy (anonymous):

that is the surface area of water on earth. * means multiplication here.

OpenStudy (anonymous):

138 145 000

OpenStudy (anonymous):

138081604.2 is the correct answer, because you approximated yours (you used the approximate number I gave). But did you understand the whole process?

OpenStudy (anonymous):

yeah.. so than for the volume i got 2.60711891E11

OpenStudy (anonymous):

That is correct.

OpenStudy (anonymous):

I don't know if it is acceptable to put E11 here, but I'd just move the decimal place to the end. Can you use a scientific calculator with more space?

OpenStudy (anonymous):

2.60711891*10^11

OpenStudy (anonymous):

mine is broken

OpenStudy (anonymous):

260711891. so like this with no decimal?

OpenStudy (anonymous):

With no decimal, it will be 2.60711891 * 100000000000 = 260711891000. Remember, the decimal shifts by the number of zeros. So for example, 2.2 * 10^3 shifts the decimals by 3 places. So 2.2 * 10^3 or 2.2 * 1000 becomes 2200 (you have to start adding 0s if you run out of numbers to move the decimal places by). Another example, 4.55676 * 10^3 = 4556.76 and 4.55676 * 10^8 would be 455676000. Can you tell me what 6.887 * 10^5 will be?

OpenStudy (anonymous):

688700000

OpenStudy (anonymous):

No - you added too many 0s. Here's how it works. 6.887 * 10^5 means that you have to move the decimal 5 places. So, moving it one place makes it 68.87. Moving it two places will make it 688.7 and moving it three places will make it 6687. Now, to move it one more place, you'll have to add a 0 - so moving it four places will be 66870 and moving it five places will be 668700 - which is the correct answer. Try these two problems. 1) What is 7.99889834E6 without decimals? 2) What is 913.223 * 10^4 without decimals?

OpenStudy (anonymous):

7998898

OpenStudy (anonymous):

9132230

OpenStudy (anonymous):

Very good - the first answer, you still have to put in the decimal, so 7.99889834E6 will be 7998898.34 (sorry if I confused you by saying without decimals - I should have said, without the E6). The second answer is correct.

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