# Thread: Easy questions that still confuse me.

1. ## Easy questions that still confuse me.

I'm not the brightest when it comes to math, so I have a few questions that have stumbled me:

True or false:

• -10 is both an integer and a whole number.
• 0 is both an integer and a natural number.
• Every natural number is also a whole number.
• Every rational number is also an integer.
Can someone answer this for me and tell me the reasons for the answers so I can better understand it? Thanks.

Also:

What would

• 3 divided by 9/11 be?
• 7/9 plus 2?
Thanks!

2. On these look at some definitions.

True or false:

• -10 is both an integer and a whole number.
Integers are ...-2,-1,0,1,2...
Whole numbers are 0,1,2...

So since whole numbers contain no negatives, -10 is only an integer. So this is false.
• 0 is both an integer and a natural number.
0 is an integer by the definition I gave above. But natural number are 1,2,3... which does not contain 0. So this one is also false.
• Every natural number is also a whole number.
Natural numbers are 1,2,3... which are whole numbers (0,1,2,3...) so this is true.
• Every rational number is also an integer.
This is false. Integers are whole numbers and their opposites, which means no positive fractions such as 2/3 that are not irrational.

Also:

What would
• 3 divided by 9/11 be?
Whenever you divide, it's the same as multiplying the dividend by the reciprocal of the divisor.

So you take 3 * (11/9)
• 7/9 plus 2?
Adding fractions requires getting like bottom numbers. So (7/9) + (2/1) hs the bottom numbers of 9 and 1, we multiply those two and get 9 (this always works but is not always the simplest).

So now you multiply the top and bottom of (2/1) by 9 since whatever you do the top of the fraction you have to do that to the bottom getting you (18)/(9).

We don't do anything to (7/9) since it's already got a 9 on the bottom.

Now we just add the top numbers and keep the bottom number, 9.

$\displaystyle \frac{18 + 7}{9} = \frac{25}{9}$

3. So the final answers become:

3 divided by 9/11 = 33/9
and 7/9 + 2 = 2/1

Right?

4. ## Urgent :/

Can anyone confirm those numbers I posted? This is urgent, I only have a few hours.

5. Originally Posted by ~NeonFire372~
and 7/9 + 2 = 2/1
Originally Posted by Jonboy
7/9 plus 2?

Adding fractions requires getting like bottom numbers. So (7/9) + (2/1) hs the bottom numbers of 9 and 1, we multiply those two and get 9 (this always works but is not always the simplest).

So now you multiply the top and bottom of (2/1) by 9 since whatever you do the top of the fraction you have to do that to the bottom getting you (18)/(9).

We don't do anything to (7/9) since it's already got a 9 on the bottom.

Now we just add the top numbers and keep the bottom number, 9.

$\displaystyle \frac{18 + 7}{9} = \frac{25}{9}$
$\displaystyle \frac{7}{9} + 2 = \frac{7}{9} + \frac{2}{1} = \frac{7}{9} + \frac{18}{9}$$\displaystyle = \frac{7 + 18}{9} = \frac{25}{9}$