Question

Which of these are rational numbers?

a. 3.75
b. -132
c. .140625
d. .04

Answer 1

What's the definition of a rational number?

Answer 2

You tell me ?

Answer 3

\[\frac{integer_1}{integer_2}, integer_2 \neq 0\]

Answer 4

Now, given that is your first number 3.75 rational?

Answer 5

ya ?

Answer 6

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?

Answer 7

Yes. 3.75 = 375/100. That's a fraction of two integers.

Therefore 3.75 is a rational number.

Answer 8

What about -132 ?

Answer 9

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

Answer 10

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

Answer 11

-132 = -132/1

hence -132 is also a rational number.

Answer 12

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

Answer 13

What about part c.
0.140625

Rational or not rational?

Answer 14

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