If a = -37 mod 7 and b = 37 mod 7, what is the value of a + b?Select one:a.4b.7c.None of the othersd.0e.2
Question
If a = -37 mod 7 and b = 37 mod 7, what is the value of a + b?
Select one:
- a. 4
- b. 7
- c. None of the others
- d. 0
- e. 2
Solution
First, let's understand what the question is asking. The "mod" operation gives the remainder when the first number is divided by the second. So, "a = -37 mod 7" means that when -37 is divided by 7, the remainder is a. Similarly, "b = 37 mod 7" means that when 37 is divided by 7, the remainder is b.
Step 1: Calculate a = -37 mod 7 When -37 is divided by 7, the remainder is -2. This is because -37 = -6*7 - 2. So, a = -2.
Step 2: Calculate b = 37 mod 7 When 37 is divided by 7, the remainder is 2. This is because 37 = 5*7 + 2. So, b = 2.
Step 3: Calculate a + b Now that we know a = -2 and b = 2, we can add them together to get a + b = -2 + 2 = 0.
So, the answer is d. 0.
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