Convert each of the following numbers from scientific to ordinary notation and write its name. 2 x 10^-2 Can you explain or clarify this problem? Thank you.
Certainly! In this problem, you are given a number written in scientific notation and you have to convert it to ordinary notation.
Scientific notation is a way to express very large or very small numbers in a simplified form. It consists of two parts: a coefficient and a power of 10.
For example, in the given number 2 x 10^-2, the coefficient is 2, and the power of 10 is -2. To convert this to ordinary notation, you need to multiply the coefficient by 10 raised to the power of the exponent.
So, in the given example, 2 x 10^-2 can be written in ordinary notation as:
2 multiplied by 10 raised to the power of -2
To calculate this, you raise 10 to the power of -2, which means dividing 1 by 10^2:
10^-2 = 1 / 10^2 = 1 / 100 = 0.01
Now, multiply the coefficient (2) by the result (0.01):
2 x 0.01 = 0.02
Therefore, the number 2 x 10^-2, when converted to ordinary notation, is 0.02.