Use a number line to help represent the situation from the exercise.
Yes, see solution.
Practice makes perfect
We want to determine whether the given expression represents the temperature at night. Let's use a number line to visualize the given situation. From the exercise, we know that the high temperature one day was 30^(∘)F. The temperature dropped 23 degrees during the night. Let's list the steps we will follow to create a number line for this situation.
First, we start at 0.
Then, we move 30 units to the right. This represents the high temperature during the day.
Finally, we move 23 units to the left to represent the temperature drop during the night.
Now we can mark these steps on a number line.
As we can see from the graph, the sum of 30 and - 23 describes the situation from the exercise. This means that the expression 30+(-23) does represent the temperature at night.
Extra
Finding the Temperature
Let's solve the given expression. To do so, we will add the two integers, 30 and -23, to find the temperature at night. Let's take a look at the expression from the exercise.
30+(-23)
Notice that we are adding two integers with different signs, one positive and one negative. Because of this, we need to subtract the absolute values of the integers. Let's take a look.
Keep in mind that we moved a greater distance to the right than to the left because |30| is greater than |-23|. Because of this, the temperature at night is 7^(∘)F.
