Class 9 Math: polynomials

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Questions and Answers

Which of the following is an example of a rational number?

0.75

What type of number is $\sqrt{3}$?

Irrational number

If a number can be expressed in the form of P/Q, where P and Q are integers and Q ≠ 0, it belongs to which number system category?

Rational numbers

What type of numbers include all integers, fractions, and terminating decimals?

<p>Rational numbers</p> Signup and view all the answers

If the sum, difference, product, and quotient of two numbers can be either rational or irrational, they belong to which category of numbers?

<p>Real numbers</p> Signup and view all the answers

Which type of number is not closed under the basic operations and can have the sum, difference, product, and quotient as either rational or irrational?

<p>Irrational numbers</p> Signup and view all the answers

What is true about the sum, difference, product, and quotient of two integers?

<p>They are always integers except when dividing by zero.</p> Signup and view all the answers

Which set of numbers includes all positive and non-positive whole numbers and zero?

<p>Integers</p> Signup and view all the answers

Under which basic operations are the integers closed?

<p>Addition and subtraction</p> Signup and view all the answers

What is the result of dividing two integers?

<p>An integer</p> Signup and view all the answers

Which number system includes all positive and non-positive whole numbers and zero?

<p>Integers</p> Signup and view all the answers

What happens if we divide by zero when working with integers?

<p>The result is undefined.</p> Signup and view all the answers

What is the product of two integers?

<p>An integer</p> Signup and view all the answers

"The integers are a set of numbers that includes all positive and non-positive whole numbers and zero." This statement refers to which set of numbers?

<p>Integers</p> Signup and view all the answers

What are the integers closed under?

<p>Addition and subtraction</p> Signup and view all the answers

What is the result when adding or subtracting two integers?

<p>Always an integer</p> Signup and view all the answers

Study Notes

In Class 9 Math, the topic of number system is an in-

The number system is the process of representing numbers on the number line using certain rules and a number line is a depiction of numbers on a straight line with a specified interval between them

The number system is used to do mathematical computations ranging from complex scientific computations to basic operations

The number system includes the following subtopics:

  1. Rational Numbers
  2. Irrational Numbers
  3. Integers

Let's discuss these subtopics in more

  1. Rational Numbers: A rational number is a number that can be represented in the form of P/Q, where P and Q are integers and Q ≠ 0

Rational numbers include all integers, fractions, and terminating decimals

The set of rational numbers is closed under all four basic operations, that is, given any two rational numbers, their sum, difference, product, and quotient is also a rational number (as long as we don't divide by zero)

  1. Irrational Numbers: Irrational numbers are numbers that cannot be expressed in the form of P/Q, where P and Q are integers and Q ≠ 0

Irrational numbers have endless non-repeating digits after the decimal point

The set of irrational numbers is not closed under the basic operations, and the sum, difference, product, and quotient of two irrational numbers can be either rational or irrational

  1. Integers: The integers are a set of numbers that includes all positive and non-

The set of integers is closed under the basic operations, and the sum, difference, product, and quotient of two integers is also an integer (as long as we don't divide by zero)

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