Integers and Types of Numbers

Odd numbers are integers that have a ones digit that ends in , , , , or . Choices II, III, V are odd numbers because they have a ones digit of , , and respectively.

The correct answer will yield a whole number as a simplified answer. Integers cannot contain decimals quantities.

The only answer that will yield a whole number term is since simplifying this root will yield .

The correct answer is:

Square numbers have one factor. If that factor is multiplied by itself, then the number becomes a perfect square. The only number in the selection that meets this requirement is . We can multiply twice to get the perfect square .

An integer is any positive or negative whole number.

Therefore, is an integer.

Natural numbers are considered the "counting numbers". They are all of the integers from 1 until infinity. 0 and negative integers are not natural numbers, therefore, the answer to this problem is .

Even though it's a radical, we can simplify.

Check the answer.

The answer is .

is an integer and a composite number with factors of . Furthermore, it can be expressed a rational number .

Thus, the final answer is I, III, V.

The sum (or difference) or 2 even integers is even. Similarly, the product (or quotient) of 2 even integers is also even; therefore the answer must be , which can be easily checked by plugging in any two even numbers.

For example, if , which is odd.

Whole numbers start from and include all positive integers. On the other hand, natural numbers are all positive integers that we can count starting from . The only difference is that is found in whole numbers but not in the natural numbers series. Thus, is the correct answer.

A prime number is a number that havs factors of one and itself. Let's eliminate some choices.

A number divisible by will have a ones digit of or . So we eliminate .

Even numbers are having ones digit end in . So we eliminate

For the remaining , let's try the divisibility rule of . The sum of the digits add up to a multiply of is diisible by .

This is good.

This is divisible by .

This fails as this is our answer.

For a number to be rational, the numerator and denominator have to be integers. The exception is the denominator must not equal zero. It can be negative, positive, or zero.