Question

3
INTEGERS
Incorrect
, since-9+16=7, which is not a negative integer. The correct statement is :
When one positive and one negative integers are added, we take their difference
and place the sign of the bigger integer. The bigger integer is decided by ignoring the
signs of both the integers. For example:
(a) (-56) + (73) = 17
(b) (-113) + 82 =-31
(C) 16+(-23)=-7 (d) 125+ (-101) = 24
Construct five more examples for verifying this statement.
(iv) Correct. Some other examples of additive inverse are as given below:
-90
+ 10
DO
+10
-10
Integer
10
-10
76
---76
Additive inverse
-10
10
-76
76
Thus, the additive inverse of any integer a is - a and additive inverse of (-a) is a.
(v) Correct. Subtraction is opposite of addition and therefore, we add the additive
inverse of the integer that is being subtracted, to the other integer. For example:
(a) 56 – 73 = 56+ additive inverse of 73 = 56+(-73)=-17
(b) 56-(-73) = 56+ additive inverse of (-73) = 56+73 = 129
(c) (-79) - 45 = (-79) + (-45) = -124
(d) (-100)-(-172)=-100+ 172 = 72 etc.
Write atleast five such examples to verify this statement.
Thus, we find that for any two integers a and b,
a-b=a+ additive inverse of b= a +(-6)
and
a-(-6)= a + additive inverse of(-5) = a + b
(vi) Incorrect, since (-10) +3=-7 and 10 – 3 = 7
therefore,
(-10) +36 10 - 3
(vii) Incorrect, since, 8+(-7)-(-4)= 8 +(-7) +4=1+4= 5
and
8 + 7 - 4= 15 - 4= 11
However,
8+(-7)-(-4)= 8 - 7+4
Toy THESE​

Answer 1

Answer:

(-26)-(77)=-103.

(-86)-(-14)=-86+14=-72.

(-65)-3=-68.

(-75)-(15)=-90.

(89)-(-2)=91.

Hope you get the correct answer.

Answer 2

Answer:

and additive inverse of (-a) is a.

(v) Correct. Subtraction is opposite of addition and therefore, we add the additive

inverse of the integer that is being subtracted, to the other integer. For example:

(a) 56 – 73 = 56+ additive inverse of 73 = 56+(-73)=-17

(b) 56-(-73) = 56+ additive inverse of (-73) = 56+73 = 129

(c) (-79) - 45 = (-79) + (-45) = -124

(d) (-100)-(-172)=-100+ 172 = 72 etc.