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Math Help - Easy questions that still confuse me.

  1. #1
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    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!
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  2. #2
    Member Jonboy's Avatar
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    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.

    \frac{18 + 7}{9}  =  \frac{25}{9}
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  3. #3
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    So the final answers become:

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

    Right?
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  4. #4
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    Urgent :/

    Can anyone confirm those numbers I posted? This is urgent, I only have a few hours.
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  5. #5
    Forum Admin topsquark's Avatar
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    Quote Originally Posted by ~NeonFire372~ View Post
    and 7/9 + 2 = 2/1
    Quote Originally Posted by Jonboy View Post
    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.

    \frac{18 + 7}{9}  =  \frac{25}{9}
    The first problem is correct. For the second problem, reread Jonboy's post about this. Writing it all on one line gives:
    \frac{7}{9} + 2 = \frac{7}{9} + \frac{2}{1} = \frac{7}{9} + \frac{18}{9} = \frac{7 + 18}{9} = \frac{25}{9}

    -Dan
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