Integers and Types of Numbers

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 .

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:

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.

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.

A number is rational if it is possible to express it as a fraction with integers as the numerator and denominator. 25 and -1 are integers, and could be written as fractions: . is already expressed as a fraction. At first glance,

looks like an irrational number becasue it repeats forever. This is different from an irrational number because an irrational number will go on forever but without a repeating pattern. could actually be expressed as the fraction . This leaves us with the correct answer of which goes on forever \[is non-terminating\] but without any clear pattern or repeating part.

An integer is a number that has no decimals or fractions. They must be whole numbers whether positive, negative or zero. is an irrational number which means it doesn't have a definite value. All the other choices have definite value.

A fraction is a number with a numerator and denominator that can not be simplified into an integer so the number is a fraction.