Question

Which of the following statement is true and which is false? Justify false statement with example/reason.

a) The addition of four negative integers is a positive integer.
b) The product of four negative integers is a negative integer.​

Answer 1

Answer:

a)false;b)false.

Step-by-step explanation:

a)(-4)+(-4)+(-4)+(-4)

=-4-4-4-4=-16(negative integer)

b)(-4)*(-4)*(-4)*(-4)

=16*16

=256 (positive integer).

Answer 2

Answer:

(a) FALSE

(b) FALSE

Step-by-step explanation:

(a) Let the four negative integer be -1,-2,-3,-4

ATQ

(-1)+(-2)+(-3)+(-4)

= -1-2-3-4 {plus x minus = minus}

= -3-7

= -10

So,The addition of four negative integers is a negative integer.

(b) Let the four negative integer be -5,-6,-7,-8

ATQ

(-5)x(-6)x(-7)x(-8)

= 30 x 56 {minus x minus = plus}

= 1680

So,The product of four negative integers is a positive integer.