Question

Find a rational number that is between 9.5 and 9.7. Explain why it is rational.

Answer 1

@rishavraj

Answer 2

@Will.H @zepdrix

Answer 3

Can you think of a decimal number between 9.5 and 9.7?

Answer 4

9.6

Answer 5

Ok good.
But how do we know that this decimal value is rational?
Well, we have a couple of options.

We can simply say that it has a terminating decimal,
therefore it must be a rational number.

Or, and this is probably what they want us to do...
we can write this decimal number as a ratio of whole numbers.

That's what defines a rational number.

For example: 3.5 is rational because it's the fraction 7/2.
Two `whole numbers` being divided.

Answer 6

Well we could write our number as \(\large\rm \frac{9.6}{1}\) but this is not a whole number on top.
We can fix that by multiplying the top and bottom by 10.\[\large\rm \frac{9.6}{1}=\frac{96}{10}\]Yay! We have a whole number (integer) over another whole number, so it's rational.

Yay team!

Answer 7

thanks @zepdrix skype me