Thread: 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!

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.

So the final answers become:

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

Right?

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

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.

The first problem is correct. For the second problem, reread Jonboy's post about this. Writing it all on one line gives:


-Dan