Eduardo used a number line model shown to model an equation.

Question

Which of the following could be Eduardo's equation?

(1 point)
Responses

−5−3=−8
negative 5 minus 3 is equal to negative 8

−5+8=3
negative 5 plus 8 is equal to 3

5+(−8)=−3
5 plus negative 8 is equal to negative 3

5+(−3)=2

Answer 1

To determine which equation Eduardo could have modeled using a number line, let's analyze each option individually:

1. −5−3=−8
   This equation can be interpreted as starting at -5 and moving 3 units to the left, which indeed would land on -8. So this equation is valid.

2. −5+8=3
   This equation suggests starting at -5 and moving 8 units to the right, which would land at 3. This equation is also valid.

3. 5+(−8)=−3
   This implies starting at 5 and moving 8 units to the left, which would land on -3. This equation is valid as well.

4. 5+(−3)=2
   This equation suggests starting at 5 and moving 3 units to the left, landing at 2. This equation is valid too.

Without additional context about the specific model Eduardo used on the number line, several equations could potentially be valid. However, if the context refers specifically to moving in a negative direction, the first three might be more relevant, particularly the first one because it explicitly involves subtraction (moving left).

Based on common modeling of subtraction using a number line, the best choice for Eduardo's modeled equation would be:

−5−3=−8

This moves to the left, aligning with a typical number line representation for subtraction.