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For two rational numbers a and b, which is ALWAYS rational?
Aa + b
Ba × b
Ca / b (if b ≠ 0)
DAll of the above
Answer & Solution
Correct answer: D. All of the above
Rationals are CLOSED under +, ×, and ÷ (provided the divisor isn't 0). So a+b, a×b, and a÷b (for b ≠ 0) are all rational. (For subtraction too, but not asked here.) Rationals form a 'field' — a complete arithmetic system.
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