## anonymous 5 years ago Which of these are rational numbers? a. 3.75 b. -132 c. .140625 d. .04

1. JamesJ

What's the definition of a rational number?

2. anonymous

You tell me ?

3. myininaya

$\frac{integer_1}{integer_2}, integer_2 \neq 0$

4. JamesJ

Now, given that is your first number 3.75 rational?

5. anonymous

ya ?

6. JamesJ

A rational number is a number that can be written as a ratio or fraction of two integers. For example. All integers themselves are rational numbers. 1 = 1/1, a ratio of two numbers. 2 = 2/1, 3 = 3/1. -1 = -1/1, -2 = -2/1, etc. All finite decimal expansions are rational numbers. E.g. 1.5 = 15/10 2.34 = 234/100 There are other rational numbers as well, such as 1/7. ===== Now, given that is your first number 3.75 rational?

7. JamesJ

Yes. 3.75 = 375/100. That's a fraction of two integers. Therefore 3.75 is a rational number.

8. JamesJ

What about -132 ?

9. anonymous

no. theres only one rational number in that group of numbers

10. JamesJ

That's not true. Didn't we just say that every integer is itself a rational number?

11. JamesJ

-132 = -132/1 hence -132 is also a rational number.

12. myininaya

James is right there is more than one rational number here.

13. JamesJ

What about part c. 0.140625 Rational or not rational?

14. JamesJ

And you've left. Ok. Good luck then.