0.0125 in Scientific Notation
In scientific notation, numbers are expressed in a compact form that makes it easier to work with very large or very small numbers. Scientific notation is a way of writing a number in the form:
a × 10^b
where a is a number between 1 and 10, and b is an integer.
Converting 0.0125 to Scientific Notation
To convert the number 0.0125 to scientific notation, we need to find the exponent b such that the number can be written in the form a × 10^b.
Step 1: Move the decimal point
To start, we need to move the decimal point in 0.0125 to the right until we get a number between 1 and 10. In this case, we need to move the decimal point three places to the right:
0.0125 → 1.25
Step 2: Determine the exponent
Since we moved the decimal point three places to the right, the exponent b will be -3. This is because the exponent represents the power of 10 that the number should be raised to in order to get the original value.
Step 3: Write in scientific notation
Now that we have the number between 1 and 10 (1.25) and the exponent (-3), we can write the number in scientific notation:
1.25 × 10^-3
Therefore, 0.0125 in scientific notation is 1.25 × 10^-3.
I hope this helps! Let me know if you have any questions.