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Properties of Multiplication of Integers

The product o...

Question

The product of three negative integers is a __ integer.

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Solution

The product of three negative integers is negative.

For example, $- 2 \times - 1 \times - 3 = - 6$

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Question 89

State whether the statement is True or False.

Product of three negative integers is a negative integer.

Q. State true or false.
(i) The product of a negative and a positive integer may be zero.
(ii) The product of two negative integers is always positive.
(iii) The product of two integers with opposite signs is the same as the product of their absolute values.
(iv) If exactly one of the three given integers is negative, then product is always negative.
(v) The product of any two positive or any two negative integers is always smaller than the integers.

Product of a negative integer and a positive integer is a positive integer.

Q. Which of the following statements are true and which are fals?
(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.

Q. 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.

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