Form 8815 Index 2023-2024

In this video, we're going to look at how we can use standard form to convert numbers into standard form and out of standard form. Standard form can be a useful way of writing down very large numbers or very small numbers. So, we're going to start with this number and write it in standard form. To write a number in standard form, you need to look at the number you have and ignore the zeros at the end for now. If there's a zero between the 5 and the 6, don't ignore it. Zeros at the end can be ignored. So, in this case, we have a 5 and a 6. Now, we need to put a decimal point into that number to make it between 1 and 10. We put the decimal point between the 5 and the 6, making it 5.6. We also need to write down "times 10" and the power, which indicates how many times the decimal point has moved from the starting number to the current one. In this case, the decimal point was originally at the end, so it has moved five times. Therefore, the number in standard form is 5.6 times 10^5. Let's try another example. We have the number 3,702,000. To work out what this number is in standard form, it's often useful to come back from the end and add commas. So, we have 370,200,000. If we're writing in standard form, we ignore the zeros at the end and write down what else we have, which is 3,702. We need to make this number a decimal number between 0 and 10. So, we put the decimal point between the 3 and the 7, making it 3.702. The decimal point must have been there to start with, even if it wasn't written down....