On these look at some definitions.
True or false:
Integers are ...-2,-1,0,1,2...
- -10 is both an integer and a whole number.
Whole numbers are 0,1,2...
So since whole numbers contain no negatives, -10 is only an integer. So this is false.
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.
- 0 is both an integer and a natural number.
Natural numbers are 1,2,3... which are whole numbers (0,1,2,3...) so this is true.
- Every natural number is also a whole number.
This is false. Integers are whole numbers and their opposites, which means no positive fractions such as 2/3 that are not irrational.
- Every rational number is also an integer.
Whenever you divide, it's the same as multiplying the dividend by the reciprocal of the divisor.
- 3 divided by 9/11 be?
So you take 3 * (11/9)
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).
- 7/9 plus 2?
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.