NCERT|Multiplication of Integers

Recap|Multiplication Of Integers|OMR

Multiplication Of Integers|Division Of Integers|OMR

Which of the following statements are true and which are false? i The product of a positive and a negative integer is negative. ii The product of two negative integers is a negative integer. iii The product of three negative integers is a negative integer. iv Every integer when multiplied with -1 gives its multiplicative inverse. v Multiplication on integers is commutative. vi Multiplication on integers is associative. vii Every nonzero integer has a multiplicative inverse as an integer.

Property 2 (commutativity): for any two integers a and bwe have a xx b=b xx a that is multiplication of integers is commutative.

Property 3 (Associativity): the multiplication of integers is associativie.for any three integers abc we have a xx(b xx c)=(a xx b)xx c

Property 4 (distributivity of multiplication over addition): the multiplication of integers is distributive over their addition.that is for any three integers a bc we have (1) a xx(b+c)=a xx b+a xx c(2)(b+c)xx a=b xx a+c xx a

(–1) is not a multiplicative identity of integers.

Multiplication Of Integers|Properties Of Multiplication Of Integers|Closure Property|Commutative Property|Multiplication By Zero|Multiplicative Identity|Multiplicative Inverse Of An Integer|Problem Practice|OMR

______ is the multiplicative identity for integers.

Property 5 (existence of multiplicative identity): for every integer awe have a xx1=a=1xx a the integer 1 is called the multiplicative identity for integers.