Are the values of 5 × 2 × 6 and 2 × 5 × 6 same? Is there any other way of rearranging these three numbers?

Given: 5 × 2 × 6 and 2 × 5 × 6 5 × 2 × 6 = ( 5 × 2 ) × 6 = 10 × 6 = 60 Again, 2 × 5 × 6 = 2 × 5 × 6 = 10 × 6 = 60 So, the values are the same for the given expressions. Yes, there are other ways to rearrange these three numbers. They can also be arranged as 5 × 6 × 2 and 6 × 5 × 2 .

What is 15 ÷ 5 ? Is it the same as 5 ÷ 15 ? Why?

Given: 15 ÷ 5 Let us first find the quotients from the expressions: 15 ÷ 5 = 3 and 5 ÷ 15 = 0 . 333 So, it is evident that both the answers are not the same. This is because, in the case of divisions, the dividend and divisor are interchanged if the order of the number changes. Thus, the order of the numbers matters here. So, the commutative property does not hold true for division of whole numbers.

What is the value of ( 100 ÷ 10 ) ÷ 5 ? Is it the same as 100 ÷ ( 10 ÷ 5 ) ? Why?

Given: 100 ÷ 10 ÷ 5 Let us first find the value of both the expressions: ( 100 ÷ 10 ) ÷ 5 = 10 ÷ 5 = 2 100 ÷ 10 ÷ 5 = 100 ÷ 2 = 50 So, it is evident that both the answers are not the same. Thus, if we change the order of the numbers, there will be a change in the answer. So, order of the numbers is important here and associative property does not hold true for division of whole numbers.

E M B I B E

Mathematics Standard 6 Term I>Chapter 1 - Numbers>Try these

Tamil Nadu Board Solutions for Chapter: Numbers, Exercise 14: Try these

Author:Tamil Nadu Board

Tamil Nadu Board Mathematics Solutions for Exercise - Tamil Nadu Board Solutions for Chapter: Numbers, Exercise 14: Try these

Attempt the free practice questions on Chapter 1: Numbers, Exercise 14: Try these with hints and solutions to strengthen your understanding. Mathematics Standard 6 Term I solutions are prepared by Experienced Embibe Experts.