like the distance from mercury to the sun is 41 million miles how is it in scientific notation??
2007-04-09 06:41:47 · 8 answers · asked by Anonymous in Science & Mathematics ➔ Physics
Scientific notation places the decimal point directly after the first non-zero numeral which is multiplied by 10 to some power. The exponent tells how many places the decimal point must be moved from its new position to change it back into the original number.
For instance, 4100 would be 4.100 * 10^3 because I would move the decimal point from its new location three places to the right to make the actual number.
0.0041 would be 4.1*10^-3 because I would move the decimal point from its new location three places to the left to make the actual number.
So 41 million is actually written 41,000,000 which is 4.1*10^7
2007-04-09 06:49:48 · answer #1 · answered by ecolink 7 · 0⤊ 0⤋
it is also very important when doing scientific notation that the first number is between one and ten, for example
1.25 X 10 to the 5 is correct scientific notation
.125 X 10 to the 6
12.5 X 10 to the 4 are incorrect b/c the first number isn't between one and ten
2007-04-09 13:51:25 · answer #2 · answered by kawawa 2 · 0⤊ 0⤋
41,000,000 is 41x10^6 or 41 times 10 to the sixth power
or 4.1 times 10 to the seventh power, he he : )
or .41 times 10 to the eighth power, count the decimal places
as stated for correct scientific notation it would have to be 4.1 times 10 to the seventh power, you really don't use too much in calculus though or math theory can become lax, use a lot in chem and physics, of course in physics may use calculus
it is for convenience and clarity, but no matter how you write it the number is the same : )
2007-04-09 13:45:46 · answer #3 · answered by Courageous Capt. Cat 3 · 1⤊ 0⤋
41 million = 41 x 10^6 = 41E6
2007-04-09 13:46:37 · answer #4 · answered by morningfoxnorth 6 · 0⤊ 0⤋
41,000,000 = 4.1 * 10^7
The decimal point starts after the last 0, right? So count how many places you move the decimal until there is only ONE number in front of it.
4.1000000 --> 4.1
You moved the decimal 7 places.
4.1 * 10^7
2007-04-09 13:48:09 · answer #5 · answered by Anonymous · 0⤊ 0⤋
Well 41 million is also 41,000,000 or 4.1X10^7.
1 is 1X10^0
10 is 1X10^1
100 is 1X10^2
1,000 is 1X10^3
5300 is 5.3X10^3
and so on.
2007-04-09 13:48:41 · answer #6 · answered by A-Mac 1 · 0⤊ 0⤋
41,000,000 = 4.1 * 10^7
Basically, you take the necessary number of significant digits and add the exponent after that.
2007-04-09 13:45:08 · answer #7 · answered by Darkness1089 2 · 0⤊ 0⤋
this site teaches you:
http://cassfos02.ucsd.edu/physics/ph11/lectures/units.html
2007-04-09 13:47:07 · answer #8 · answered by Anonymous · 0⤊ 0⤋