Question

For each o
(1) The sum of three different integers can never be zero.
(ii) If a is an integer, then (-a) is its opposite.
(iii) The sum of two negative integers is a positive integer.
(iv) The sum of an integer and zero(0) is zero.
(v) If a and b are integers, then a + b = b + a.
(vi) Since -7<-4, 1-71 <1-41.​

Answer 1

Answer:

correct (ii) ( vi) and other all other incrrect

Answer 2

Step-by-step explanation:

Answers :-

i) The sum of three different integers can never be zero.

It is a false statement.

Reason :-

Let the three different integers be 1,2 and -3

Thier sum = 1+2+(-3)

=> 3+(-3)

=> 3-3

=> 0

The sum of three different integers can be zero.

ii) If a is an integer, then (-a) is its opposite.

It's a true statement.

Reason :-

-1 is the opposite of 1

-a is the opposite of a

iii)The sum of two negative integers is a positive integer.

It is a false statement.

Reason :-

Let the two negative integers be -1 and -2

Their sum = (-1)+(-2)

=> -1-2

=> -3

=> It is a negative integer.

The sum of two negative integers is a negative integer.

iv) The sum of an integer and zero(0) is zero.

It is a false statement.

Reason :-

0 is the additive identity element.

a+0 = 0+a = a

(-a)+0 = 0+(-a) = -a

The sum of an integer and zero(0) is the number itself.

v) If a and b are integers, then a + b = b + a.

It is a true statement.

Reason:-

Let the two integers be 1 and 2

then

1+2 = 3

2+1 = 3

Therefore, 1+2 = 2+1 = 3

It is a commutative property under addition in integers .

vi) Since -7<-4, 1-71 <1-41.

It is a true statement

Reason :-

Given that

-7 < -4

1-71 < 1-41

=> -70 < -40

it's true.