Can someone please check my answers? Thanks! (ノ^ヮ^)ノ*:・゚✧*:・゚✧
Write the following measurements in scientific notation: a. 22 000 mg 22 * 10^3 b. 0.005 km .5 * 10^3 c. 65 900 000 m 65.9 * 10^5 d. 0.000 003 7 kg 0.37 * 10^6
Did I get any right?
Nope
What?! D: What am I doing wrong?
scientific notation form : \[\large \times \cdot \times\times\times\times\times* 10^{\times\times\times\times}\]
there should be ONLY ONE digit before the decimal point
a. 22 000 mg 22 * 10^3 mg but this is NOT scientifc notation
*and if I may add, everytime you write something in scientific notation, you should put a decimal point*
b and d look carefully
Here is two examples of numbers written in scientific notation: \[523=5.23 \times 10^2 \] \[0.525=5.25 \times 10^{-1}\]
that one digit before the decimal point make sure to not choose it to be 0
Okay, that kind of makes sense.. So would a be 2.2 x 10^3 ?
yes, what about the units ? you don't want to change units to SI in scientific notation ? what does your textbook/teacher say ?
hey actually its a NO... 22 x 10^3 is not same as 2.2 x 10^3
It doesn't say anything about the SI units.
Is the 2.2 part right?
ok then less work for you :)
yes that part is right !
Oh good, so all I have wrong is how many places, then.. so wait, it should be to the fourth? So 2.2 x 10^4 ?
You got it !
YAY!!!! Finally!! XD
*fireworks go off in the back*
next one can be tricky
So you count everything AFTER the decimal point as the number of digits?
Yea
Exactly ! thats nice way to put it
Okay, cool. So for the next one... would it be 5 x 10 ^-3 ?
who ate the decimal point
pac man! XD jk
5.0 x 10^-3 is more like scientific form :)
oh, so you need to have a decimal point in the front all the time? (I hate decimals)
lol i was a pacman addict once
yes decimal point is a must for scientists
^ Same haha And okay
So 5.0 x 10^(-3)
looks good if we pretend we're not concerned with significant figures
significant figures is a more tricky business, save it for later :)
Significant figures? Does that deal with the measurements?
yes, but one thing at a time
you need to study scientific notation before touching significant figures topic
Well, there was a question before on this same study quiz that said something about it.
This thing isn't graded tho, it's just to be used as notes for the test.. I skipped that question, but is it something I should know?
Yes you should know, but I think we can work the rpesent problem without refering to them
Okay, cool. ^.^ Do you want me to post the others in separate threads? There's only c and d left for this question.
lets finish here
c. 65 900 000 m
you just need to figure out two things : 1) where to put the decimal point 2) exponent of 10
Umm... 65.9 x 10^6 ?
remember, only one digit to the left of decimal point
it should be 6.59 x 10^7 ?
Hey remember to include the units
Ohhhhhhhh I get it!
So you can't have like: 22.19 x 10^4 Or 143.29 x 10^4 You can only have 1.294 x 10^4
thats right !!
Aha! Okay. So 6.59 x 10^7
this is just one of those times where you just need to follow the rules
yes!
Okay, so the last one is really confusing looking. Would it be 0.37 x 10^(-7) ?
first digit cannot be 0
so moce the decimial point to right by one more position
3.7 x 10^-7?
d. 0.000 003 7 kg is same as 0.00 003 7 x 10^(-1)kg is same as 0.0 003 7x 10^(-2) kg is same as 0.003 7 x 10^(-3)kg is same as 0.03 7 x 10^(-4)kg is same as 0.3 7 x 10^(-5)kg is same as 3. 7 x 10^(-6)kg
only the last line is in scientific form
Okay, so for the powers, you only count the number of zeroes?
n * 10^3 : shifts the decimal point of number n to RIGHT by 3 positions n * 10^(-3) : shifts the decimal point of number n to LEFT by 3 positions
i will leave this to @ganeshie8, must better idea lol
im bit dyslexic about left and right, so i always need to double check 2-3 times when messing with powers
Ohhh okay.
xx.xxxx * 10^3 = xxxxx.x
xx.xxxx * 10^(-3) = 0.0xxxxxx
Okay, that makes sense. I gotta go for a bit, supper, but I'll be back. ^.^ \(\huge\bf\rlap{\color{red}{\bigstar~T}\color{gold}{H}\color{greenyellow}{A}\color{lime}{N}\color{cyan}{K~}\color{blue}{Y}\hspace{0 pt}\color{purple}{O}\color{magenta}{U}\color{orchid}{!~\bigstar}}{\color{black}{\; \bigstar~THANK~YOU!~\bigstar}}\) Is it okay if I tag you in some other questions when I get back? (:
yeah sure :)
Awesome!! Thanks! :D
And remember! I'm still here and I can help! :D
*this is one of those awkward moments when i'm a third wheel XD*
3 wheels is more stable than 2 wheels :)
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