In Exercises 81–85, use a calculator's factorial key to evaluate ...

Question

In Exercises 81–85, use a calculator's factorial key to evaluate each expression. (300/20)!

Accepted Answer

Welcome back. I am so glad you're here. We are given this expression 375 divided by 15. That's in parentheses. And then factorial, we're asked to use a calculator to evaluate this expression. Well we're going to start by figuring out what's in the parentheses. 1st 375 divided by 15. That is 25. And then we still have that factorial there. So this is 25 Factorial. If you've got a calculator and can plug that right in. Great. If your calculator is like mine, it doesn't have a factorial button, well you can start plugging in 25 times 24 times 23 etcetera all the way down to one because that's what factorial is. But if your calculators still like mine and runs out of space before you can enter all of those numbers in Then you've got other options that that 25 times 24° method is great for smaller numbers like maybe seven factorial but if you've got this big one and you still need to solve the problem then you can pull up google calculator and google calculator does have a factorial button, you can plug in 25 factorial enter and then you get something like this 1.551121 E plus 25. And so working with that number, we can see that our answer choices are all rounded to two decimal places. So the five looks at the one that's going to stay 1.55 and then the e plus 25 means times 10, raised to the 25th. So we look at our answer choices and this matches with answer choice B. Well done, we'll catch you on the next one.

Struggling with College Algebra?

In Exercises 81–85, use a calculator's factorial key to evaluate each expression. (300/20)!

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