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Tutor profile: Raika S.

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Raika S.
Math Sensei
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Questions

Subject: Pre-Calculus

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Question:

What's the difference between 2/0 and 0/0?

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Raika S.
Answer:

2/0 is undefined, which means say 2/0 does have an answer "x". Thinking about division as the revers of multiplication, that means 0 times "x" has to equal 2, but 0 times anything is always 0! So this is impossible, therefore there is no answer! 0/0 is indeterminate, which the difference is say 0/0 equals some number "x", that means 0 times "x" has to be 0, but then what is 0? 0 times anything is 0, which means "x" can be anything! Meaning it can't be determined! So we say it's indeterminate!

Subject: Pre-Algebra

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Question:

Why is 2^0 equal to 1?

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Raika S.
Answer:

So to start with, say we have a fraction 2^2/2^2, this of course is just 4/4 which is 1, but what if I wrote it with a negative exponent! Such as 2^2 times 2^-2, okay if we have the same base what is the rule for simplifying? It's adding so if we add our power (2+ -2) we get 0! which means 1= 2^2/2^2 = 2^2 * 2^-2 = 2^0 Therefore 2^0 must be 1!

Subject: Algebra

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Question:

The sum of three consecutive numbers is 72, what is the smallest of the three numbers?

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Raika S.
Answer:

First thinking about what consecutive means, these are numbers such as 1, 2, 3. But we don't know what the first one is so we need a variable to represent this unknown, "x"! Okay so I know x + the other two numbers should be 72 and thinking about consecutive these are numbers that are one plus each other. So we can set up an equation like this: x + (x+1) + (x+2) = 72 All three numbers are accounted for so if we simplify: 3x + 3 = 72 3x = 69 x= 23 So the first one must be 23! The rest are 1 plus that so 23, 24, and 25 but the smallest is 23 so that is our answer!

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