Now that we know about scientific notation, it's going to become important on how to convert from scientific notation to standard notation. Now standard notation itself is just the normal way of writing numbers. Okay? So here, in order to go from scientific notation to standard notation, it all deals with looking at the exponent. Now we're going to say here that a positive exponent tells you to make the coefficient value larger. So if we take a look here, we have 7.17×105. Here, 5 is telling me that I need to make the coefficient larger by 5. So we're starting out with 7.17. To make it larger, I'm going to move the decimal place over to the right. So we have to move it 5 spaces. So 1, 2, 3, 4, 5. So our new way of writing this would be 717,000 as our new value.
Now what if the exponent is negative? Well, a negative exponent tells you to make the coefficient value smaller. So if we take a look here, this is negative 7. So we have 3.25. We need to make this number smaller, so we're going to have to move it to the left, and we move it over 7 spaces. So 1, 2, 3, 4, 5, 6, 7. So that's going to be 0.0000325. So, these values here would represent the normal way of writing numbers.
Now, it's inconvenient because you can see how much writing is involved in writing both of these numbers. And if our exponents were even bigger positive or, even more negative value, that'd be more movement of the decimal. That's the whole point of scientific notation. It changes these inconvenient, non-manageable numbers into something that's easier for us to read. Now that we've done this, click on the next video, and let's take a look at a practice question when we put this into practice. Remember, look at the exponent to determine if you want to make the coefficient larger or smaller.