Question

rational numbers and their properties​

Answer 1

Answer..

rational numbers ..

the numbers which is in the form of p by q q should not be equal to zero Q should be where p and q and integers are called rational numbers example example equals to 2 minus 4 by 5 0 3 by minus 2 minus 5

properties of rational numbers

closure property

for any two rational numbers a b a y a + b is a rational numbers rational numbers are closed under addition minus addition subtraction multiplication and division

associative property

for any three rational numbers A, B, C A + bracket b + c = 2 bracket a + b bracket + c rational numbers are resources and addition and multiplication

Communicative property

any two rational numbers A, B, A + B equal to a + b rational numbers for standard addition and multiplication

identity

identity or into types of identity and multiplicative identity for any two rational numbers a bracket a + b = 20 + 80 is called relative identity for integers numbers into 1 is equal to a 1 into one is called multiple identity

inverse

inverse of inverse is of two types of inverse and multiplicative Inverse

rational numbers a bracket A + bracket minus A is equals to zero bracket - 8 + additive inverse of a is minus and additive inverse of minus A is a for any rational numbers a into 1 by a equals to 1 equal to 1by a into a,

is multiple of a is 1 by and multiple inverse of 1 by a is a

distributive property

for any rational numbers a, b, c 19 - 13 equals to minus 19 by 13

example a bracket b + c equal to a b + a c a b minus C is equal to a b minus AC

hence explanation all the properties of rational numbers..

Answer 2

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☞ What is a Rational number ?

A rational number, in Mathematics, can be defined as any number which can be represented in the form of p/q where q ≠ 0.

Also, we can say that any fraction fits under the category of rational numbers, where denominator and numerator are integers and the denominator is not equal to zero.

☞ Properties of Rational numbers

The properties of rational numbers are :-

1. Closure Property
2. Commutative Property
3. Associative Property
4. Distributive Property
5. Identity Property
6. Inverse Property

☞ How to identify rational numbers ?

• To identify if a number is rational or not, check the below conditions.
• It is represented in the form of p/q, where q≠0.
• The ratio p/q can be further simplified and represented in decimal form.

✒ The set of rational numerals :-

1. Include positive, negative numbers, and zero.
2. Can be expressed as a fraction.

☞ Types of Rational Numbers

A number is rational if we can write it as a fraction, where both denominator and numerator are integers and denominator is a non-zero number.

"The above diagram helps us to understand more about the number sets."

• Real numbers (R) include all the rational numbers (Q).
• Real numbers include the integers (Z).
• Integers involve natural numbers(N).
• Every whole number is a rational number because every whole number can be expressed as a fraction.

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