0.000027 is 2.7 * 10^(-5), so would it also be 27 * 10^(-4 )or 27 * 10^(-6? )
27 * 10^-6
You are placing the decimal point after 27 --- 27.
And then shifting the decimal point to the left with zeros
Sorry, but I don't know.
I assume you are dealing with numbers in scientific notation.
Such a number consists of a decimal number between 1 and 9 inclusive, multiplied by a power of 10
e.g.
3.45 x 10^7
4.123 x 10^-3
etc
so 0.000027 = 2.7 x 10^-5
Notice I moved the decimal place to the RIGHT by 5 places, resulting in the 10^-5
Observation: 10^-5 is a "small" number
by changing .000027 to 2.7 , I made it bigger, so to compensate I multiplied by a smaller.
Had it been 4567.8
it would be 4.5678 x 10^3
Another way to look at:
4567.8 ---- we have a large number, so it need a power of 10 with a positive exponent
.000027 ---- we have a small number, so it need a power of 10 with a negative exponent
1 ≤ n < 10 ... slight adjustment to Reiny's "definition"
To determine whether 0.000027 is equal to 27 * 10^(-4) or 27 * 10^(-6), let's break it down:
0.000027 can be expressed as 2.7 * 10^(-5), which means we move the decimal point five places to the left and multiply by 10 raised to the power of -5.
Now, let's compare it to 27 * 10^(-4) and 27 * 10^(-6):
27 * 10^(-4) can be expressed as 0.0027, obtained by moving the decimal point four places to the left and multiplying by 10 raised to the power of -4.
27 * 10^(-6) can be expressed as 0.000027, obtained by moving the decimal point six places to the left and multiplying by 10 raised to the power of -6.
So, when comparing 0.000027 to 27 * 10^(-4) and 27 * 10^(-6), we find that 0.000027 is indeed equal to 27 * 10^(-6).
Therefore, the correct expression is 27 * 10^(-6) for 0.000027.