Ira writes that the sum of a+b is a number that is located a distance of [b] units from a on the number line. Choose four values for a and b and show that this is true. Use the four number lines on the right to show your work and support your answer

1. Take a=4, b=6

a+b

=4+6

=10 (Both are positive integers)

2. a=4, b = - 6

then 4 + ( - 6)

= 4 - 6

= - 2 [Smaller is positive integer and larger is negative integer, So subtract smaller from larger and apply the sign possessed by larger integer]

3. a = - 4, b = - 6

a + b

= - 4 - 6

=-10 [ Both are negative integers add them apply - sign before the number.]

4. a = - 4, b=6

a + b

= - 4 + 6

= 2 [one is positive and other is negative subtract smaller from larger and apply positive sign before the number.]