We want to match three situations to that represent them. To do so, we can use a .
First Situation
Let's take a look at the first situation.
|
First Situation
|
|
A fish swims at 10 feet below the sea level, and then swims another 10 feet deeper to avoid a shark.
|
Let's list the steps we need to follow to create a number line for this situation.
- First, we start at 0. This is the surface of the sea.
- Next, we move 10 units to the left to represent the fish swimming 10 feet below the sea level.
- Finally, we move 10 units to the left, representing the fish avoiding the shark.
Let's mark these steps on the number line.
As we can see from the graph, the sum of -10 and -10 describes the situation from the exercise. Let's write this as an expression. This means that the expression -10+(-10) represents this situation.
A fish swims at 10 feet below the sea level,
and then swims another 10 feet deeper to avoid a shark.
|
-10+(-10)
|
Second Situation
Next, let's consider the second situation.
|
Second Situation
|
|
Troy takes 10 steps forward, and then takes 10 steps back.
|
Let's list the steps we can take to create a number line for this situation.
- First, we start at 0.
- Next, we move 10 units to the right for the 10 steps forward that Troy takes.
- Finally, we move 10 units to the left to represent Troy taking 10 steps back.
Let's mark these steps on the number line.
As we can see from the graph, the sum of 10 and -10 describes the situation from the exercise. This means that the expression 10+(-10) represents this situation.
Troy takes 10 steps forward, and then takes
10 steps back.
|
10+(-10)
|
Third situation
Now, let's consider the last situation.
|
Third Situation
|
|
The temperature drops 10 degrees, and then rises 10 degrees.
|
Let's list the steps can follow to create a number line for this situation.
- First, we start at 0.
- Next, we move 10 units to the left to represent the temperature drop.
- Finally, we move 10 units to the right for the temperature rise.
Let's mark these steps on a number line.
As we can see from the graph, the sum of -10 and 10 describes the situation from the exercise. This means that the expression -10+10 represents this situation. Finally, we can match each situation with its expression.
