Properties of Rational Numbers

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Properties of Rational Numbers: Overview

This topic covers concepts, such as, Algebraic Properties of Number Systems, Closure Property of Number Systems, Distributive Property of Integers & Distributive Property of Rational Numbers etc.

Important Questions on Properties of Rational Numbers

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Given one example to show that "the sum of any two integers will always be an integer "

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Given one example to show that "Subtraction of Natural numbers is not associative"

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Subtraction of integers is not associative "

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Give one example to show "Subtraction of integers is not associative "

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An integer can be:

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What is the reciprocal of 1x?

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By using the properties of rational numbers solve the following equation (8 + 0) + (6 × 3).

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Division of rational numbers is associative.

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The associative property is applicable to:

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Explain why subtraction of two natural number is not commutative with a example.

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What is the additive inverse of a rational number pq.

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The multiplicative inverse of a rational number ab is

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Natural numbers are commutative for subtraction.

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Integers are closed under

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Natural numbers are commutative for addition and multiplication.

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Whole numbers do not follow commutative property under subtraction.

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Given one example to show that whole numbers do not follow commutative property under subtraction.

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Associative property does not hold for multiplication of natural numbers.

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Prove that associative property does not hold for subtraction of natural numbers.

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Give one example to show that integers are not associative for division.