Envision Math 2.0: Grade 7, Volume 1
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Envision Math 2.0: Grade 7, Volume 1 View details
3. Add Integers
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Exercise 5 Page 22

Use a number line to help represent the situation from the exercise.

85 feet below the surface

Practice makes perfect

We want to find the fish's location relative to the surface of the ocean. We can use a number line to visualize the given situation. From the exercise, we know that a shark is swimming 60 feet below the surface. The fish is swimming 25 feet deeper in the water. Let's list the steps we will follow to create a number line for this situation.

  • First, we start at 0.
  • Then, we move 60 units to the left. This represents the shark's location.
  • Finally, we move 25 units to the left to represent the fish swimming deeper than the shark.
Now we can mark these steps on the number line.
As we can see from the graph, the sum of - 60 and - 25 is located 25 units to the left of - 60. We can add the two integers to find the fish's location. Let's take a look at the expression from the exercise. -60+(-25) Notice that we are adding two integers with the same signs, both negative. Let's add the absolute values of the integers.
|-60|+|-25|
60+|-25|
60+25
85
Keep in mind that we moved two times to the left of 0 on the number line. This means that the result is negative. We can say that the fish is 85 feet below the surface of the ocean.