Scientific notation question

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MTD52

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I came across a question that at some point, required me to figure out the square root of (1x10^-5). The explanation just said 1x10^-5 = 3.2x10^-3.

I'm not seeing how that can easily be done in your head. Is there a quick way to figure that out?
 
1x10^-5 is equal to 10x10^-6 since you know the sq root of 9 is three the sq root of 10 will be a little more than three and sq root of 10^-6 is 10^-3. Hope it helps a little
 
1x10^-5 is equal to 10x10^-6 since you know the sq root of 9 is three the sq root of 10 will be a little more than three and sq root of 10^-6 is 10^-3. Hope it helps a little

Damn. Why didn't I think of changing it to 10x10^-6. Yes, it helps more than a little. It clears it up completely lol. Thank you
 
I came across a question that at some point, required me to figure out the square root of (1x10^-5). The explanation just said 1x10^-5 = 3.2x10^-3.

I'm not seeing how that can easily be done in your head. Is there a quick way to figure that out?

What I usually do in this kind of Q's is:

1) Look at the 10^power and see if it's an even number or not.
------> In this case it's -5 which is an odd number.

2) If it's not an even number, change the notation so that you can have an even numbered power.
-------> In this example, you would change it into 10* 10^-6.

3) Now you know when you take a square root of power, it's the half of the original number.
-------> sq root of 10^-6 is 10^-3.
-------> another example) sq root of 10^6 is 10^3, sq root of 10^8 is 10^4 and so forth.

4) For the number in front of the power, you know how to square root them. If you don't see a perfect sq root number, find the number that is closest to the number you have and give your best estimate.
-------> 10 is close to 9. So sq. root of 9 is 3. 10 is bigger than 9, so you would have a value bigger than 3. Like around 3.2 or 3.3

5) The answers are in multiple choice. You will be able to find the answer. You don't need to know exactly what sq root of 10.


And keep practice using the above method and you will eventually be able to solve it fast! 😍

Hope this helps. Good luck!!!:luck:



Oh someone already posted up while I was writing this. Lol
 
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