Question

Which of the numbers below belong to both the set of integers and rational numbers?

I. -2

II. 3/5

III. 4/2



I only

II and III

I and III

I, II, and III

Answer 1

Natural numbers are all numbers 1, 2, 3, 4… They are the numbers you usually count and they will continue on into infinity.

Whole numbers are all natural numbers including 0 e.g. 0, 1, 2, 3, 4…

Integers include all whole numbers and their negative counterpart e.g. …-4, -3, -2, -1, 0,1, 2, 3, 4,…

All integers belong to the rational numbers. A rational number is a number

ab,b≠0ab,b≠0Where a and b are both integers.

Answer 2

c) I. and III.

Explanation:

An Integer is any whole number or the negative of any whole number, eg. ... -3;-2;-1;0;1;2;3;...

A Rational number is any number that can be written as a fraction as long as the denominator is not zero. All Integers are rational numbers, but not all rational numbers are Integers.

Classification:

I. -2 is an integer, and can be written as -
`(2)/(1)` , therefore it is a rational number too.

II.
`(3)/(5)` is a fraction, and can therefore be classified as a rational number, but not an Integer.

II.
`(4)/(2)` = 2. Therefore it is both an Integer and Rational.