In Exercises 77–86, write each number in scientific notation. −0....

Question

In Exercises 77–86, write each number in scientific notation. −0.00000000405

Accepted Answer

Hi everyone. Let's look at our next problem. It says the number 0. is written in decimal notation. Express it in scientific notation. So we have a decimal value here. So we will want to remember that. We're going to end up with a negative exponent in our final scientific notation, recalling from our content. Video that scientific notation. We're going to express our number in the form M Times 10 to the X where M. We want to be at least one But less than 10. So we're always going to move our decimal points. Such that R. M. Here. We just have a number in the ones place. So let's look at our number here and we're gonna move our decimal point until we get to our just passed our first non zero number to express it in this format. So we're going to move it to the right 12345 places. So that number will be written 3. Times 10. And since we moved it to the right to the negative five power. So anytime we see that negative exponent, our scientific notation, we know we're dealing with a decimal number here. So let's look at our answers and we see that that is one of our choices. Choice a is 3.7 times 10 to the -5. So always double check when you have a decimal number here that you've ended up with a negative exponent. See you in the next video