Question

What sum is represented by the following number line?

A.) 2 3/4 +(-4 3/4) =-1 2/4
B.) 2 3/4 + (-4 1/4) = -1 2/4
C.) -1 1/2 + 2 3/4 = 4 1/4
D.) 2 3/4 + (-3 1/4) = -1 2/4

Answer 1

Explanation:

Mark the end of arrows

• 2-3/4
• -4-1/4

So add them

`\\ \tt\hookrightarrow 2(3)/(4)+(-4(1)/(4))=-1(2)/(4)`

Answer 2

B.) 2 3/4 + (-4 1/4) = -1 2/4

Explanation:

blue line: forward with positive +
`2(3)/(4)`

red line: backward with negative -
`4(1)/(4)`

so the number line follows:
`2(3)/(4)` + -
`4(1)/(4)` = -1 2/4