Question

Given the numbers in the setO√10{ -3.4, - 1,0, 7/4, 3, √10}list the whole numbers.-3.4-107/4 3√10

Answer 1

We can see the following list of numbers:

`\lbrace-3.4,-1,0,(7)/(4),3,√(10)\rbrace`

And we have to find, from the list, which of these numbers are whole numbers.

1. To find them, we need to remember that whole numbers are that set of numbers corresponding to nonnegative integers, that is, the positive integers plus zero (0).

2. We have that integers are the numbers:

`\begin{gathered} \text{ Integers:} \\ ...-3,-2,-1,0,1,2,3,... \\ \end{gathered}`

3. And the nonnegative integers are:

`0,1,2,3,4,5...`

4. Now if we see the options, we have that the only numbers in the list that are whole numbers are:

Since:

• The number -3.4 can be represented as a fraction, and it is not an integer.

,

• The number -1 is an integer. However, is a negative integer.

,

• The number 7/4 is a fraction, and it is part of the Rational numbers.

,

• The number √10 is not an integer, and it is, in fact, an Irrational number since it has infinite numbers after its decimal point, and this number cannot be described as a fraction.

Therefore, in summary, we have that the whole numbers from the list are 0 and 3.