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High School Math : How to define integers in pre-algebra

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Example Question #1 : How To Define Integers In Pre Algebra

Is $\frac{4}{5}$ $\displaystyle \frac{4}{5}$ an integer, decimal, or a fraction?

Possible Answers:

None

Integer

Decimal

Fraction

Correct answer:

Fraction

Explanation:

A fraction is a number with a numerator and denominator that can not be simplified into an integer so the number $\frac{4}{5}$ $\displaystyle \frac{4}{5}$ is a fraction.

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Example Question #1 : How To Define Integers In Pre Algebra

Which of the following is an integer?

Possible Answers:

1.25^2 $\displaystyle 1.25^2$

$\frac{5}{4}$ $\displaystyle \frac{5}{4}$

1.5

$\sqrt[3]{64}$ $\displaystyle \sqrt[3]{64}$

-100.1

Correct answer:

$\sqrt[3]{64}$ $\displaystyle \sqrt[3]{64}$

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.

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Example Question #1 : How To Define Integers In Pre Algebra

Which of the following is NOT an integer?

Possible Answers:

-4

1024

$\frac{8}{5}$ $\displaystyle \frac{8}{5}$

$\frac{12}{3}$ $\displaystyle \frac{12}{3}$

$\sqrt{25}$ $\displaystyle \sqrt{25}$

Correct answer:

$\frac{8}{5}$ $\displaystyle \frac{8}{5}$

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 $\frac{8}{5}$ $\displaystyle \frac{8}{5}$, which is 1.6.

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Example Question #1 : How To Define Integers In Pre Algebra

Which of the following describes the number $\small 8$ $\displaystyle \small 8$?

Possible Answers:

Rational

Integer

All of these

Real

Correct answer:

All of these

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.

$\small 8$ $\displaystyle \small 8$ is not imaginary, can be expressed as a fraction, and is a whole number; thus, it falls into all of these categories.

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Example Question #2 : How To Define Integers In Pre Algebra

Find the greatest common factor and the least common multiple of $\displaystyle 12$ and $\displaystyle 30$. What is the sum of the GCF and LCM?

Possible Answers:

$\displaystyle 80$

$\displaystyle 66$

$\displaystyle 60$

$\displaystyle 54$

$\displaystyle 75$

Correct answer:

$\displaystyle 66$

Explanation:

Prime factorize each number.

$12=4\cdot 3=2\cdot 2\cdot 3$ $\displaystyle 12=4\cdot 3=2\cdot 2\cdot 3$

$30 = 6\cdot 5=2\cdot 3\cdot 5$ $\displaystyle 30 = 6\cdot 5=2\cdot 3\cdot 5$

$GCF= 2\cdot 3=6$ $\displaystyle GCF= 2\cdot 3=6$

$LCM = 2\cdot 2\cdot 3\cdot 5=60$ $\displaystyle LCM = 2\cdot 2\cdot 3\cdot 5=60$

Thus $\displaystyle GCF + LCM = 66$.

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Example Question #1 : How To Define Integers In Pre Algebra

Which of the following is not an integer?

Possible Answers:

$\displaystyle 8$

5000 $\displaystyle 5000$

786 $\displaystyle 786$

6.5 $\displaystyle 6.5$

$\displaystyle -10$

Correct answer:

6.5 $\displaystyle 6.5$

Explanation:

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

6.5 $\displaystyle 6.5$, however, is not an integer because it isn't a whole number.

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Example Question #2 : How To Define Integers In Pre Algebra

What type of number is $\frac{5}{3}$ $\displaystyle \frac{5}{3}$?

Possible Answers:

Decimal

Integer

None

Fraction

Irrational

Correct answer:

Fraction

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:

$\left \{... -2,-1,0,1,2... \right \}$ $\displaystyle \left \{... -2,-1,0,1,2... \right \}$

$\frac{5}{3}$ $\displaystyle \frac{5}{3}$ is therefore not an integer, but it is a fraction.

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Example Question #3 : How To Define Integers In Pre Algebra

327 $\displaystyle 327$ is an example of _____________.

Possible Answers:

an integer

a decimal

an irrational number

a complex number

a fraction

Correct answer:

an integer

Explanation:

An integer is any positive or negative whole number.

Therefore, 327 $\displaystyle 327$ is an integer.

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Example Question #11 : Integers And Types Of Numbers

Which of the following is not an integer?

Possible Answers:

$\displaystyle -1$

-6,021 $\displaystyle -6,021$

$\displaystyle 0$

1.5 $\displaystyle 1.5$

$\displaystyle 5$

Correct answer:

1.5 $\displaystyle 1.5$

Explanation:

Integers are all counting numbers, and include both $\displaystyle 0$ and all negative counting numbers. Thus, keeping this definition in mind, we can see that the value which is not an integer is 1.5 $\displaystyle 1.5$ since it has digits after the decimal point.

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High School Math : How to define integers in pre-algebra

Study concepts, example questions & explanations for High School Math

All High School Math Resources

Example Questions

Example Question #1 : How To Define Integers In Pre Algebra

Example Question #1 : How To Define Integers In Pre Algebra

Example Question #1 : How To Define Integers In Pre Algebra

Example Question #1 : How To Define Integers In Pre Algebra

Example Question #2 : How To Define Integers In Pre Algebra

Example Question #1 : How To Define Integers In Pre Algebra

Example Question #2 : How To Define Integers In Pre Algebra

Example Question #3 : How To Define Integers In Pre Algebra

Example Question #11 : Integers And Types Of Numbers

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