Associative Property of Rational Numbers Associative Property Associative property of rational numbers states that when three or more rational numbers are added or multiplied the result remains same irrespective of how they are grouped. However, in the case of subtraction and division if the order of the numbers is changed then result will also change. […]

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Commutative Property of Rational Numbers Commutative Property The commutative property of rational numbers states that when any two rational numbers are added or multiplied in any order the result we get same result. In case of subtraction and division, if order of numbers is change the result will also change. We will understand these properties […]

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Closure Property of Rational Numbers What are Rational Numbers? Rational numbers are numbers which can be represented in the form of p/q, where p and q are any two integers and q is not equal to zero(q ≠ 0). Closure Property of Rational Numbers When we perform any operation on a rational number, such that […]

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Properties of Rational Numbers Rational numbers Rational numbers are numbers which can be represented in the form of p/q, where p and q are any two integers and q is not equal to zero(q ≠ 0). Denominator and Numerator of a Rational Number In a rational number p/q, the integer p is the numerator and […]

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Multiplying Variables with Exponents – Rule – Examples Multiplication of variables with exponents In this tutorial, we will learn the multiplication of variable with exponents. If the base of a term is a variable, we use the same rules of multiplication that are used for numbers. When the variable bases are same, the powers are […]

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Multiplying Exponents with Square Roots In this tutorial, we will learn the multiplication of exponents, where bases have a square root. When multiplying square roots that contain exponents, we can rewrite the term with a rational exponent. The square root of a positive number (√a) can be expressed as a rational exponent and (√a) = […]

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Multiplying Exponents with Difference Bases and Difference Powers When exponents with different bases and different powers are multiplied, so each exponent is evaluated separately and then multiplied. Mathematically it can be written as, am x bn = (a)m x (b)n  Let two exponents with different bases and powers is am and bⁿ. Here a and b are the different bases […]

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Multiplying Exponents with Difference Base and Same Powers In this tutorial, we will learn the rule of multiplication of exponents with different bases but same powers. When we multiply exponents with different bases and same powers, we can simply multiply the bases and keep the exponent same. Mathematically it can be written as, [ an  […]

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