State whether the following statements are true or false: 1. If a and b are any two integers such that a > b, then -a > – b. Answer: False. As per the number line. If a =3 and b=2 then -3 will be left of -2. So -2>-3
2.If the sum of an integer and its opposite is zero, then they are called additive inverses of each other. Answer: True The additive inverse of A is -A. A+(-A)=0
3. The negative of 0 is -0. Answer: false. Zero is neither positive or negative
4. The sum of positive and negative integers is always negative. Answer: false 5+(-2) = 3 which is positive But 5+ (-6) = -1 which is negative If the statement was: The sum of positive and negative integers can be negative. Then the statement is true
5.All rectangles are squares. Answer: False A square is 4 sided figure with all sides equal. A rectangle is a 4 sided figure with opposite side equal. Square is a special type of rectangle. All squares are rectangles. But all rectangles are not squares.