in-3-14-determine-whether-each-of-the-numbers-is-rational-or-irrational-3-pi

Question

In $3-14,$ determine whether each of the numbers is rational or irrational.
$$
3 \pi
$$

Leina Wu · Accepted Answer

okay. In this question, we&#x27;re trying to to do a number of five. Okay, we&#x27;re We&#x27;re trying to determine if the number three pie is rational or irrational. So in terms of irrational number, those air, the number that cannot be returned as fresh on and we know three pie is actually three times of the pie and a pie is irrational number. So therefore three part would be irrational. It is not rational.

Jeffrey Morris · Answer

All right, so we have pie divided by pi. Do we have to your rational numbers here part of out of the pot? No, we just think about basic math that, you know, Let&#x27;s just say we do to divide about two. We know that&#x27;s one like to say we have three devout about three. We know that&#x27;s what So basic principle is that any number divided by itself is equal to one. So we went up the eighties, about about 80. That would still be equal to one. Now that work, even for irrational numbers like pi. So we do pied about about pie. We can treat that the Stamets if we do a rational number when we get one. And as you know, one is irrational number. So part of out of up, I give you your

Dilip Paruchuri · Answer

all right. Hey, guys. So in this problem were given zero plus pie and were asked to determine if it is a rational or an irrational number. So first, let&#x27;s break it down into the two parts that were given were given zero and were given pie. We know that by definition, zero is a rational number, and we also know that high is an irrational number because pies equal to 3.141592 and blah, blah blood goes on never dies. And so from this we know that pie 3.141592 blah, blah blah is an infinite decimal, and it&#x27;s non repeating, so it is an irrational number. So what this problem is asking us to do is it&#x27;s asking this to some and a rational number and an irrational number and tell and basically determine what you get. So let&#x27;s start it off. So when you have zero close by, we know zero plus pi is equal to high and high, we already said is irrational. So the sum of zero crisp I gives us an irrational value, and that is our answer. So our answer is that zero plus pi represents an irrational value. Thanks for listening, guys. And I hope this helped determine of the basically, if the sum of a rational and irrational is an irrational or not Thank you.

Leina Wu · Answer

Okay, this is problem number seven. Some were trying to determine whether one in a 3/4 is rational or irrational. So one asked me for us. Could be simplified, adds four times one and out of three. Divide about for which is 7/4. Therefore, this is a into draw on top and in the during the bottom. This is a This is a division of fractions of This is rational. It&#x27;s a rational.

Leina Wu · Answer

but this is a problem of three from chapter three. We&#x27;re trying to determine if this number 0/4 is rational or irrational. So zero before is an integer zero divide by another integer for So this is rational. Okay, this is a rational number. It actually just equals two zero.

Dilip Paruchuri · Answer

in this problem, we were given a decimal number on the number that were given is 2.17273747 and this does more goes on and on and on. There&#x27;s no termination as the problem gives it to be. And what the problem asks us is to determine if this decimal is a rational number or irrational number. So in order to determine if it&#x27;s rationally irrational number, we need to take a look. A. Tw two properties and those two properties that we&#x27;re gonna take a look at is Number one is that if the decimal is repeating and if the decimal is finite or infinite, So let me write that down. So we take a look. If the desk was repeating and by repeating, it has be repeating in a certain pattern, and I&#x27;ll explain what that means a little bit more. And if it&#x27;s finite or infinite Now let&#x27;s take a look at the second property right off the bat. We know we see that this ah decimal is infinite because of the Ellipse, so we could just check this off right here. It&#x27;s infinite right here. It&#x27;s an infinite decimal, and then we need to check if it&#x27;s repeating. If it has a pattern. Now there is a pattern. You have the 17273747 And you could guess the next it&#x27;s gonna be 5767 7787 et cetera. However, this is not a repeating pattern that is consistent. Whether we&#x27;re looking for a pattern, we&#x27;re looking for something like 77870.1111 or 0.1. Repeat more. 0.121212 Something like that. And since this is this decimal is not Pete ng and is an infinite decimal. We can say for a fact that this decimal is an irrational number and this is our answer right here. Our answer is that we have an irrational decimal over here. Thanks for listening, guys. And I hope this hoped

Problem

In $3-14,$ determine whether each of the numbers …

Problem 5 Easy Difficulty

In $3-14,$ determine whether each of the numbers is rational or irrational.
$$
3 \pi
$$

Answer

irrational

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