Question

Mr. Andrews used a horizontal number line to illustrate an addition problem, as shown.

The number line from -4 to 3 has a rightward arrow from -3 and three-fourths to 3 and a leftward arrow from 1 and a half to -3 and three-fourths.

Which equation is represented by this figure?

Responses

112−514+634=3
1 1 2 − 5 1 4 + 6 3 4 = 3

112+514=634
1 1 2 + 5 1 4 = 6 3 4

112−514=634
1 1 2 − 5 1 4 = 6 3 4

−334+634=3

Answer 1

The equation represented by the figure is 112 + (-5 1/4) + 6 3/4 = 3.

Step-by-step explanation:

The equation represented by the figure is 112 + (-5 1/4) + 6 3/4 = 3

On the number line, the rightward arrow represents addition, while the leftward arrow represents subtraction. The number on the left side of the arrow is subtracted or added based on its sign. In this case, -5 1/4 is subtracted from 112 and 6 3/4 is added, resulting in 3.

Answer 2

The figure on the number line represents the equation -3¾ + 1¾ = -2.

The figure on the number line represents the equation -3¾ + 1¾ = -2.

We can break down the problem step-by-step:

-3¾ represents a starting point of -3¾ on the number line.

We move rightward to 1¾ which adds 1 whole and 3 fourths.

We then move leftward from 1¾ to -3¾ which subtracts 1 whole and 3 fourths.

So the resulting equation is -3¾ + 1¾ = -2 on the number line.