How to define integers in pre-algebra

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Math › How to define integers in pre-algebra

Questions 1 - 9
1

is an example of _____________.

an integer

an irrational number

a decimal

a fraction

a complex number

Explanation

An integer is any positive or negative whole number.

Therefore, is an integer.

2

Find the greatest common factor and the least common multiple of and . What is the sum of the GCF and LCM?

Explanation

Prime factorize each number.

Thus .

3

Is an integer, decimal, or a fraction?

Fraction

Integer

Decimal

None

Explanation

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

4

Which of the following describes the number ?

All of these

Real

Rational

Integer

Explanation

A real number is anything that is not imaginary, including all rational and irrational numbers.

A rational number is any number that can be expressed as a fraction of two integers.

An integer is any whole number, including zero.

is not imaginary, can be expressed as a fraction, and is a whole number; thus, it falls into all of these categories.

5

Which of the following is an integer?

1.5

-100.1

Explanation

Integers are any number that doesn't have anything in the decimal places. They are also known as whole numbers. The cubed root of 64 is 4, which is the only whole number out of the answer choices.

6

Which of the following is not an integer?

Explanation

By definition, an integer is a whole number that is either positive or negative. Negative numbers such as and are integers, as are 10 and 5.

, however, is not an integer because it isn't a whole number.

7

Which of the following is notan integer?

Explanation

Integers are all counting numbers, and include both and all negative counting numbers. Thus, keeping this definition in mind, we can see that the value which is not an integer is since it has digits after the decimal point.

8

What type of number is ?

Fraction

Integer

Decimal

None

Irrational

Explanation

An integer is a whole number, either positive or negative. In other words, it is a number that can be written without a fractional or decimal part. Examples are:

is therefore not an integer, but it is a fraction.

9

Which of the following is NOT an integer?

-4

1024

Explanation

An integer is simply a whole negative or positive number, which means it can be expressed without decimal places. Any number can be considered an integer as long as it fits this criteria. They can be expressed as square roots, fractions, or anything else, as long as the final answer is a whole number. In this question, the only answer that is not a whole number is , which is 1.6.

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