Question

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

Answer 1

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.]