Need help with conversions

rfbrenner

New member
Joined
Dec 3, 2009
Messages
10
My daughter is in 9th grade. She has a test Wednesday in which she needs to do conversions between various metric lengths - Angstrom, Nanometer, Kilometer, Micrometer, etc and be able to handle it in decimal or scientific notation. I've been trying to read up to be able to help but I don't remember this stuff well enought.

Any strategies or other help is very much appreciated.

Rick Brenner
Scarsdale, NY
 
She just need to remember the conversion ratios. And it could be better to get everything in metres, the SI base unit.

1 angstrom = 0.0000000001 m = 1.0 x 10^-10 m
1 nm = 0.000000001 m = 1.0 x 10^-9 m
1 km = 1000 m = 1.0 x 10^3 m
1 μm = 0.000001 m = 1.0 x 10^-6 m

Scientific notation always has the first part between 1 and 10, 10 being exclusive, and a second number which indicates the 'order' so to say and has 10 raised to the power of an integer (whole) number.

For example:
1.0 x 10^-5 is correct.
0.976 x 10^2 is incorrect and should be 9.76 x 10^1
10.5 x 10^7 is incorrect and should be written as 1.07 x 10^8

How to change those is simple too. Take the second example:
0.976 x 10^2
You have to multiply the first number by 10 to get it in range of 1 and 10. You need a 10, take it from the second number:
0.976 x 10^1 x 10
You have to decrease the value of the power to do that and then you multiply the first and last numbers, to get 9.76 x 10^1.

Taking the third example:
10.5 x 10^7
You have to decrease the first number here. So, you can break it up like that:
1.05 x 10 x 10^7
This done, you can increase the power of 10, to give:
1.05 x 10^8

However, addition, subtraction, multiplication and division of such numbers is something she might find new.

Though I'm a little confused that your daughter suddenly got to grade 9 when she recently was in grade 7...
 
Thanks so much. 7th grade 2009-2010, 8th grad 2010-2011, just started high school 2010-2011.
 
Top