One fish is 4 feet below sea level. Another fish is 3 feet below sea level. write each position as an integer. Which integer is
greater?
2 answers:
Answer:
The greater integer is -3.
Step-by-step explanation:
As the problem indicates that fishes are <em>below sea level, </em>you take into account that sea level is 0 feet, and from there, as they are below, you mark their positions as <em>negative integers.</em>
See picture below where fishes position is marked. You can see there that the fish that is in position -3 is the number nearest 0, so -3 is greater than -4.
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Answer: Choice B)
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Work Shown:
This shows why choice B is the answer.
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Explanation:
- In the second step, I multiplied top and bottom by
- This is so we can apply the difference of squares rule in step 3. The difference of squares rule is (x-y)(x+y) = x^2-y^2.
- In step 4, the square roots cancel out with the squaring operation. The two operations are inverses of one another, which is why they cancel.
So in general, if the denominator is and you want to rationalize the denominator, then you should multiply top and bottom by
. The same applies in reverse as well.
This leads to the denominator becoming
Keep in mind that and