SOLUTION: Is 2.1 a rational number?_________ Why or why not?___________ ___________ _ I'm having trouble with this. I'm actually having trouble understanding what a rational number reall

Algebra.Com
Question 221894: Is 2.1 a rational number?_________
Why or why not?_________________________
I'm having trouble with this. I'm actually having trouble understanding what a rational number really is. I've read about it in my textbook over and over again but I'm just not getting it, so if someone could explain this it would really help.
Thank you

Answer by solver91311(24713)   (Show Source): You can put this solution on YOUR website!


A rational number is any number that can be represented as the quotient of two integers.



21 is an integer and 10 is an integer, therefore 2.1 is rational because it can be expressed as the quotient of two integers.

If you have a decimal fraction that comes to an end, even if it has a billion decimal places, it is a rational number. If you have a decimal that is a repeating pattern, then it is a rational number. That's because in both of these cases you can find two integers where one divided by the other is the exact decimal fraction. It is only when you have a non-repeating, never-ending decimal such as or that the number is irrational.

The name rational has nothing to do with a number's sanity. The name comes from the fact that the quotient of two integers is the same as the ratio of two integers, and the root of 'rational' is 'ratio'

John


RELATED QUESTIONS

i am having trouble understanding why a staircase with an 8.5" riser & 9" treads has a... (answered by Alan3354)
Hey. I'm having trouble understanding what to do in these problems. I know the answers... (answered by CubeyThePenguin)
I am having trouble understanding this question could someone please help me?... (answered by Fombitz)
I am having some trouble understanding slopes. I know that M stands for slope, and that... (answered by Alan3354,jojo14344)
This is a discussion question in my class. I have seen how a few other students have... (answered by stanbon)
I am having trouble with this equation: m^2 - 1 / (m + 1)^2. Can someone please help me... (answered by stanbon)
I'm working on my homework and I'm having trouble understanding a question. I'm supposed... (answered by MathLover1,ewatrrr)
I am horrible at word problems, and I'm having trouble with this one. Please help. A... (answered by edjones)
I am having trouble understanding this problem. I am supposed to show steps and not have... (answered by MathLover1,Alan3354)