Multiplication of Integers

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.

Multiple

Multiplication is not commutative for integers.

Write the multiplication table for the set of integers modulo 5.

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

Which of the following statements are true and which are false ? (i) The product of a positive integer 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.

List all possible multiplication and division statements for the integers with 5, –5, 6, –6 and 30, –30. For example, 5 × 6 = 30 .

algebra OF matrix- addition || scalar multiplication || multiplication OF 2 matrix || properties OF multiplication

______ is the multiplicative identity for integers.