SOLUTION: I have not a clue where to start with this, any help? • a) Explain how to calculate 500/499 without a calculator. • b) Evaluate 500/499

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Question 423926: I have not a clue where to start with this, any help?
• a) Explain how to calculate 500/499 without a calculator.
• b) Evaluate 500/499

Answer by htmentor(1343) About Me  (Show Source):
You can put this solution on YOUR website!
We can write 500/499 as 1/(499/500).
499/500 = (500 - 1)/500 = 1 - 1/500. 1/500 = 0.002 -> 499/500 = 1 - 0.002.
We need to solve 1/(1-0.002).
Multiply numerator and denominator by 1 + 0.002 -> (1)(1+0.002)/(1-0.002)(1+0.002)
The denominator -> 1 since the 0.002*-0.002 term is very small.
So the answer is approximately 1.002