It is spelled "repetend", and it's the part of a repeating decimal that is repeated, as 1234 in 0.123412341234. (from dictionary.com)
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sum means the answer of a math problem
Justification in math terms means to show how you solved the math problem. Lay out the problem and show step-by-step how the problem is solved.
in math terms reduce means to simplify
A binomial