Name: Rational Numbers Between Two Rational Numbers
Uploaded: 2019-07-19
Duration: 9 min 50 s
Description: In this video, we will learn that we can find infinite rational numbers between any two rational numbers. Interested to know more? Just click!

Question

Recall the associativity of the four operations for whole numbers through this table:

Operation	Numbers	Remarks
Addition		Addition is associative
Subtraction		Subtraction is not associative
Multiplication	$a \times (b \times c) = (a \times b) \times c$	Multiplication is associative
Division		Division is not associative

Accepted Answer

The associative property states that you can add or multiply regardless of how the numbers are grouped.

The commutative property of rational numbers, integers, whole numbers and natural numbers is applicable for addition and multiplication only and not for subtraction and division.

Hence, the table can be filled in the following way.

Operation Numbers Remarks

Addition $a + (b + c) = (a + b) + c$ Addition is associative

Subtraction $a - (b - c) \neq (a - b) - c$ Subtraction is not associative

Multiplication $a \times (b \times c) = (a \times b) \times c$ Multiplication is associative

Division $a \div (b \div c) \neq (a \div b) \div c$ Division is not associative

Jammu and Kashmir Board Solutions for Chapter: Rational Numbers, Exercise 4: Exercise

Jammu and Kashmir Board Mathematics Solutions for Exercise - Jammu and Kashmir Board Solutions for Chapter: Rational Numbers, Exercise 4: Exercise

Questions from Jammu and Kashmir Board Solutions for Chapter: Rational Numbers, Exercise 4: Exercise with Hints & Solutions

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