![]() That looks fancy, but all that means is let's take two 10s and multiply them together and we're going to get 100. Multiplying them together, I could write this as 10 to the second power. And so 10 times 10, we can rewrite as being equal to, if I have two 10s and I'm So the way they do this is through something known as exponents. To write things like this a little bit more elegantly. So mathematicians haveĬome up with a notation and some ideas to be able Kinda hard to write, and imagine if we have 30 10s that we were multiplying together. This right over here is 10 billion, and it's already getting We put the commas there so it's just a little bit easier to read. ![]() One, two, three, four, five, six, seven, eight, nine, 10. It's going to be oneįollowed by 10 zeroes. This is going to be equal to, even the number that it's equal to is going to be quite hard to write. Let's see, one, two, three, four, five, six, seven, eight, nine, 10. That's four, that's five, that's six, that's seven, that's eight, that's nine, that is 10 10s. So if I were to go 10 times 10 times 10 times 10, But at some point, if I'mĭoing this with enough 10s, it gets pretty hard to write. Multiply them together, so 10 times 10, which Note that we do not remove the trailing 0's because they were originally to the right of the decimal and are thereforeĮ notation is basically the same as scientific notation except that the letter e is substituted for "x 10^".- In this video, I'm going to introduce you to a new type of mathematical notation that will seem fancy at first, but hopefully you'llĪppreciate is pretty useful and also pretty straightforward.The number 0.005600 converted to scientific notation is 5.600 x 10^-3.We moved the decimal to the right so b is negative.Move the decimal 3 places to the right and remove leading zeros to get 5.600.The number 357,096 converted to scientific notation is 3.57096 x 10^5Įxample: Convert 0.005600 to Scientific Notation.We moved the decimal to the left so b is positive.Move the decimal 5 places to the left to get 3.57096.Remove trailing 0's only if they were originally to the left of the decimal point.Įxample: Convert 357,096 to Scientific Notation.Write your scientific notation number asĪ x 10^b and read it as " a times 10 to the power of b.".If you did not need to move the decimal b = 0. If you moved the decimal to the right b is negative. If you moved the decimal to the left b is positive.Count how many places you moved the decimal point.Move the decimal point in your number until there is only one non-zero digit to the left of the decimal point.b is the power of 10 required so that the scientific notation is mathematically equivalent to the original number. ![]() The proper format for scientific notation is a x 10^b whereĪ is a number or decimal number such that the absolute value ofĪ is greater than or equal to one and less than ten or, 1 ≤ | a| < 10. How to Convert a Number to Scientific Notation For example, 3.4 x 10^5 has an order of magnitude of 5 since 10 is raised to the 5th power. The order of magnitude when written in standard form, is the nth power of 10. Order of magnitude will also be identified for the calculated standard form. You can also enter numbers in e notation. To enter a number in scientific notation use a carat ^ to indicate the powers of 10. Enter a number or a decimal number or scientific notation and the calculator converts to scientific notation, e notation, engineering notation, standard form and word form formats. Convert a number to and from scientific notation, e notation, engineering notation, standard form, and real numbers.
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