## How do you write a number in scientific notation.

Let's look at one more example. I've given you the expanded form this time, and would like to show you how to write it in scientific notation. Pay special attention to where I stop counting when I move my decimal to the right. Example 6: Scientific Notation.

Write this number in decimal form. Solution. Notice that the number following E is 6. This means move the decimal over 6 places to the right. The first 4 moves is natural, but for the last 2 moves, there are no numbers to move the decimal place past. We can always add extra zeros after the last number to the right of the decimal place.

The purpose of scientific notation is for scientists to write very large, or very small, numbers with ease. Calculating scientific notation for a positive integer is simple, as it always follows this notation: a x 10 b. Follow the steps below to see how 79,000 is written in scientific notation. Step 1. To find a, take the number and move a.

Scientific notation is used to express very large or very small numbers. A number in scientific notation is written as the product of a number (integer or decimal) and a power of 10. The number has one digit to the left of the decimal point. The power of ten indicates how many places the decimal point was moved.

To write a number in scientific notation: Put the decimal after the first digit and drop the zeroes. In the number 123,000,000,000 The coefficient will be 1.23.

Write 1.5 trillion in decimal notation. Write 1.5 trillion in scientific notation. Length of a year The difference between the calendar year and the astronomical year is 0.000125 day. Write this number in scientific notation. How many years does it take for the difference to become 1 day?

Solutions. Problem 1: Write the following number in scientific notation. 205852. Solution: Here, we don't find decimal point in 205852. So we have to assume that there is decimal point at the end.