Podcast
Questions and Answers
Which of the following is an example of a rational number?
Which of the following is an example of a rational number?
What type of number is $\sqrt{3}$?
What type of number is $\sqrt{3}$?
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?
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?
What type of numbers include all integers, fractions, and terminating decimals?
What type of numbers include all integers, fractions, and terminating decimals?
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If the sum, difference, product, and quotient of two numbers can be either rational or irrational, they belong to which category of numbers?
If the sum, difference, product, and quotient of two numbers can be either rational or irrational, they belong to which category of numbers?
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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?
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?
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What is true about the sum, difference, product, and quotient of two integers?
What is true about the sum, difference, product, and quotient of two integers?
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Which set of numbers includes all positive and non-positive whole numbers and zero?
Which set of numbers includes all positive and non-positive whole numbers and zero?
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Under which basic operations are the integers closed?
Under which basic operations are the integers closed?
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What is the result of dividing two integers?
What is the result of dividing two integers?
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Which number system includes all positive and non-positive whole numbers and zero?
Which number system includes all positive and non-positive whole numbers and zero?
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What happens if we divide by zero when working with integers?
What happens if we divide by zero when working with integers?
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What is the product of two integers?
What is the product of two integers?
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"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?
"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?
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What are the integers closed under?
What are the integers closed under?
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What is the result when adding or subtracting two integers?
What is the result when adding or subtracting two integers?
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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:
- Rational Numbers
- Irrational Numbers
- Integers
Let's discuss these subtopics in more
- 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)
- 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
- 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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