Use a number line to help represent the situation from the exercise.
$ 205
Practice makes perfect
We want to find out how much Sarah paid for her bike. We can use a number line to visualize the given situation. From the exercise, we know that the bike cost $ 260. Sarah had a coupon that was worth $ 55 off the cost of any bike. Let's list the steps we need to follow to create a number line for this situation.
First, we start at 0.
Then, we move 260 units to the right. This represents the initial cost of the bike.
Finally, we move 55 units to the left to represent Sarah using the coupon.
Let's mark these steps on a number line.
As we can see from the graph, the sum of 260 and - 55 is located 55 units to the left of 260. Let's add the two integers to find out how much Sarah paid for her bike. Consider the expression from the exercise.
260+(-55)
Notice that we are adding two integers with differentsigns, one positive and one negative. This means that we will 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 |260| is greater than |-55|. Because of this, the result is positive and we can say that Sarah paid $ 205 for her bike.
