4.6 Billion in Scientific Notation

What is 4.6 billion in scientific notation? Here we will show you how to convert 4.6 billion into scientific notation. We start by writing 4.6 billion (four billion six hundred million) in decimal notation (decimal form), like this:

4,600,000,000

Scientific notation is a way to express large numbers, like the decimal number above, in a smaller format. You can see this format represented below. Note that 'm' is a number less than 10, and 'n' is an integer.

m × 10ⁿ

All whole numbers have an implied decimal point after the last digit. Therefore, 4,600,000,000 can also be written as '4,600,000,000.'.

To find 'm' in the equation above, we write down 4.6 billion using only the numbers. In other words, we take out the commas from its decimal form and place a decimal point at the end of the string of numbers. Then we move the decimal point to the left until the number is less than 10, and then remove any trailing zeros. This leaves us with 4.6, the resulting value of m:

4600000000.
4.600000000
4.6

To find 'n' in the equation above, we simply count how many times we moved the decimal point to the left. We moved it 9 times, so n is 9.

That's all there is to it! Now we have 4.6 billion in scientific notation, as follows:

4.6 billion = 4.6 × 10⁹

You may also be interested to know that calculators and computer spreadsheets use E notation, and 4.6 billion would be shown as 4.6E+09 or simply 4.6e9.

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