Number System Quiz

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20 Questions

What is the value of $8 - 3 imes 2$?

15

Which of the following is a prime number?

17

Simplify the expression $5(7 + 3)$.

$70$

What is the square root of $144$?

$12$

Which set of numbers includes all positive integers and zero?

Whole Numbers

What type of numbers are used for counting and start from 1?

Whole Numbers

Which set of numbers is sometimes written as N and consists of only positive integers?

Natural Numbers

Which type of numbers includes all integers, fractions, and terminating decimals?

Rational Numbers

What type of numbers consist of the natural numbers, their additive inverses, and zero?

Integers

Which set of numbers is closed under all four basic operations?

Rational Numbers

Which of the following is an example of an irrational number?

$\sqrt{11}$

What type of numbers are not closed under all four basic operations?

Irrational numbers

Which of the following is an example of a rational number that is not an integer?

$-\frac{3}{4}$

Which of the following is NOT an irrational number?

$\frac{1}{3}$

What type of numbers include natural numbers, whole numbers, integers, rational numbers, and irrational numbers?

Real numbers

Which of the following expressions represents an irrational number?

$\sqrt{25}$

What type of number cannot be expressed as a ratio of two integers?

Irrational number

Which type of number can include decimals that never terminate?

Irrational number

Which of the following is a rational number that is not an integer?

$\frac{5}{7}$

Which type of number includes all integers and fractions?

Rational Numbers

Study Notes

Evaluating Expressions

  • The value of $8 - 3 \times 2$ can be found by following the order of operations.

Properties of Numbers

  • Prime numbers are positive integers that are divisible only by themselves and 1.
  • The set of numbers that includes all positive integers and zero is called whole numbers.
  • Counting numbers start from 1 and are used for counting.
  • The set of numbers represented by N consists of only positive integers and is also known as natural numbers.
  • The set of numbers that includes all integers, fractions, and terminating decimals is called rational numbers.
  • The set of numbers that consists of natural numbers, their additive inverses, and zero is called integers.
  • The set of numbers that is closed under all four basic operations is called rational numbers.

Irrational and Rational Numbers

  • An example of an irrational number is π.
  • Rational numbers that are not integers include fractions such as 3/4.
  • An example of a rational number that is not an integer is 0.5.
  • Irrational numbers cannot be expressed as a ratio of two integers.
  • Irrational numbers can include decimals that never terminate.
  • An example of a rational number that is not an integer is ¾.
  • The set of numbers that includes natural numbers, whole numbers, integers, rational numbers, and irrational numbers is called real numbers.

Test your knowledge of the number system with this quiz. Includes questions on basic arithmetic, prime numbers, and square roots.

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