Video: Understanding Negative Integers When Finding Relative Positions in Word Problems

A shipwreck is 39 feet below sea level. A scuba diver is 16 feet closer to the surface. Express the position of the scuba diver in relation to the surface as an integer.

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Video Transcript

A shipwreck is 39 feet below sea level. A scuba diver is 16 feet closer to the surface. Express the position of the scuba diver in relation to the surface as an integer.

Let’s begin by letting the sea level have an integer value of zero. We are told that the shipwreck is 39 feet below sea level. Therefore, this has an integer value of negative 39. We are also told that the scuba diver is 16 feet closer to the surface than the shipwreck.

In order to calculate the position of the scuba diver, we need to add 16 to negative 39. Adding 10 to negative 39 gives us negative 29, and adding another six gives us negative 23. The position of the scuba diver in relation to the surface as an integer is negative 23. This means that he is 23 feet below sea level.

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