Question

16 write an addition equation to represent the number line below. write your answer in the blanks. number line with markings from -5 to 2, and arrows indicating movements of -2 and -3

Explanation:

Step1: Identify the starting point

The number line starts at 0. So the initial number is 0.

Step2: Identify the first movement

The first arrow goes from 0 to -2, which is a movement of -2. So we add -2 to 0: $0 + (-2)$.

Step3: Identify the second movement

The second arrow goes from -2 to -5, which is a movement of -3. So we add -3 to the result of the first step: $(0 + (-2)) + (-3)$.

Step4: Simplify the equation

Simplify the addition: $0 + (-2) + (-3) = -5$ or we can write it as $0 - 2 - 3 = -5$, but in addition form, it's $0 + (-2) + (-3) = -5$ or more simply $-2 + (-3) = -5$ if we consider the starting point as -2, but the most accurate from the number line (starting at 0) is $0 + (-2) + (-3) = -5$. However, looking at the movements, the total change is moving from 0 to -5 by moving -2 then -3, so the addition equation is $0 + (-2) + (-3) = -5$ or we can also see it as starting at -2 and moving -3: $-2 + (-3) = -5$. But the key is to represent the addition based on the number line. The first segment is from 0 to -2 (so 0 + (-2)) and then from -2 to -5 (so + (-3)), so the equation is $0 + (-2) + (-3) = -5$ or simplified as $-2 + (-3) = -5$ (since 0 + (-2) is -2).

Answer:

$0 + (-2) + (-3) = -5$ (or $-2 + (-3) = -5$)