Name the set(s) of numbers to which each number belons ( Rational, Integer, Whole, Irrational)?

Question

1) -15
2) 4 2/3
3) 3.5656 (with a line over the last 56 not the first one)
4) -1/2
5) 2.71954...
6) 1

Answer 1

1) rational, integer.
2) rational.
3) rational (if the decimal EVER repeats, it's rational)
4) rational.
5) can't know for sure, but looks like it's going to be irrational.
6) rational, integer, whole.

All whole numbers are also integers and rational numbers.

All integers are also rational.

According to http://en.wikipedia.org/wiki/Whole_number, "whole number" may mean all integers, or only the non-negative integers, so your answer may be different depending on what your book considers a "whole number" to be.

Answer 2

1) Integer, Rational
2) Rational
3) Irrational
4) Rational
5) Irrational
6) Whole. Integer. Rational

Answer 3

1) -15 Integer
2) 4 2/3 rational
3) 3.5656 (with a line over the last 56 not the first one) rational
4) -1/2 rational integer
5) 2.71954...irrational
6) 1 whole
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Answer 4

1) integer, rational
2) rational
3) 3 56/99 rational
4) rational
5) not enough info but probably irrational
6) integer, whole, rational

p.s. on 3. to put a line over the last 56 but not the first is the same as putting a line over the whole thing (or just the first 56 and leaving off the second 56).

Answer 5

Whole numbers has inconsistent definitions. If it refers to only non-negative integers, then -20 is not a whole number. Otherwise, it is. Aside from that, -20 is a real, rational integer. It is not irrational.

Answer 6

Whole numbers = 0, 1, 2 ,3.....
Integers = Whole numbers, plus negative versions
Rational numbers = a/b , such that a and b are integers, b is not equal to zero
Irrational numbers. real numbers that are not rational numbers.
(a non-terminating, non repeating decimal number)

All Whole numbers are Integers and all Integers are Rational numbers.

This should make the answers very clear.