Standard Form & Scientific Notation Worksheets

How to Convert Values Between Standard Form and Scientific Notation? Most of the time in our calculations, there are values that are not easily written, such as exceptionally large or very small numbers. In such scenarios, we use different notations to express them and improve our understanding. One of those notations is the scientific notation which is used to express very large or small numbers. Now, if we are given small or large numbers in scientific form, how can we convert them to their standard form or vice versa? Let us look at the following table. Standard Form: 151,000, Scientific Notation: Now, we know that if there is not decimal visible, its present after the last whole digit. Thus, the value is on 151,000.0. Here, we will simply transfer the point before the first digit and add 10^xwith x being the number of places we skipped back. In the present scenario, the answer is 1.51 × 105. Standard Form: 0.0000045, Scientific Notation: In this scenario, you have a decimal point visible; all you have to do is place it before the last digit. Since this is a very small value, the exponent will be in negative sign, i.e., 4.5 × 10(-6).

The Real World

"There is no branch of mathematics, however abstract, which may not someday be applied to the phenomena of the real world." -- Nicolai Lobachevsky