![]() Move the decimal place to the right if the exponent is positive and move the decimal place to the left if the exponent is negative.Įxample: Write 4.01 x 10 5 in"normal notation" When converting from Scientific Notation to a standard or normal notation, use the value of the exponent to determine the number of places to move the decimal point. The decimal should be between the 1 and 2, so move the decimal point 4 places to the right, so it becomes 1.2 x 10 -4 Converting from Scientific Notation to "Normal" The decimal should be between the 3 and 0, so move the decimal point 3 places to the left, so it becomes 3.04 x 10 3Įxample: Write 0.00012 in scientific notation If you have to move the decimal point to the right to get the original number, the exponent will be a positive number, if you have to move the decimal point to the left to get the original number, the exponent will be a negative number.Įxample: Write 3040 in scientific notation. This will be the numerical value of your exponent. Look at the new number you have written. Count the number of places you must move the decimal point in order to get back to where the decimal point was originally located. ![]() Re-write those digits as a number with 1 digit in front of the decimal point and the rest of the numbers after the decimal point (number greater than or equal to 1 but less than 10.)Ģ. Find all of the significant figures in the number. General Rules for Converting a Number into Proper Scientific Notationġ. The number 0.03 is written as 3.0 × 10 -2. For example, the number 5000 is written in scientific notation as 5 × 10 3. The letter a stands for a decimal number, and the letter b stands for an exponent, or power of 10. In scientific notation numbers are written in this format: a x 10 b Many of the variables for radiation equations are written in scientific notation, so you should become comfortable converting numbers to and from scientific notation as well as adding, multiplying and dividing numbers in scientific notation. Therefore scientific notation is frequently used to write these numbers. Scientific Notation & Metric Prefixes Scientific NotationĪs mentioed in the previous section, when describing electromagnetic radiation we are often dealing with both very large and very small numbers.
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