Let A = { -6, - 12/4 , - 5/8 , - √3, 0, 1/4 , 1, 2π, 3, √12}. Lis...

Question

Let A = { -6, - 12/4 , - 5/8 , - √3, 0, 1/4 , 1, 2π, 3, √12}. List all the elements of A that belong to each set. Integers

Accepted Answer

Hello everyone in this video we're going to be looking at this practice problem where we want to identify which of the elements are integers and the elements that we're looking for are in em their negative 1028 negative 2050 divided by five, negative three divided by 504 divided by 21 1, Radical 24 11 and nine pi. So in order to identify which are integers, let's remember that integers include whole numbers such as zero and the natural numbers and even include negative numbers but they do exclude fractions and decimals and irrational numbers. So if we look at - You can see that this is an integer even if it is negative. So it goes on our list. And if we look at negative 2050 divided by five and we complete this division. This actually simplifies to negative 4 10 and you can see that this is a integer with no decimal. So it is part of our entered your list. If we look up negative three divided by 25 you can see that this turns into a fraction. So it actually is not an integer. And like we said before, integers do include zero. So zero is part of our list. Then we have another fraction for divided by 21 and this one does not simplify to be a whole number. So it is not part of our integral list and one is part of our integer list because it's a whole number and then we have Radical 24. So if we look at Radical 24 we try to simplify this, I'm going to say four times six. So the square root of four times the square root of six. This simplifies to two times Radical six. And because Radical six Is an irrational number, that makes this whole number irrational, so not part of an integer. So I can't say radical 24 is an integer. Then I have the number 11 which is an integer since it's just a whole number and then I have nine times pi and because Pi is a never ending decimal, I can't count nine times pi as a integer. So now you can see that we've gone through the list and I'm going to go ahead and pull the values that we said were integers. I say integers Are equal to negative, 1028, -2050, divided by five 11. And that is all the integers in set. Em and if we look at the answer choices, you can see that answer choice A has all those values as well. So hopefully this video helped and see you next time

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Let A = { -6, - 12/4 , - 5/8 , - √3, 0, 1/4 , 1, 2π, 3, √12}. List all the elements of A that belong to each set. Integers