- A
- B
- C
- D
Step-by-Step Solution
If , then . Check: . Subtracting instead of adding the gives — the minus-a-negative step is where the sign is usually lost.
Answer: C)
What must be SUBTRACTED from to get ?
Class 7Rational NumbersRational Numbers
Key idea: Operations on rationals
**Addition / subtraction**: same denominator → add/subtract numerators. Different denominator → bring to common denominator first.
**Multiplication**: (p/q) × (r/s) = (p×r)/(q×s). Sign rule from integers applies (same → +, different → −).
**Division**: multiply by the reciprocal. (p/q) ÷ (r/s) = (p/q) × (s/r), provided r ≠ 0.
Nothing new compared to fractions — just keep track of signs.
**Multiplication**: (p/q) × (r/s) = (p×r)/(q×s). Sign rule from integers applies (same → +, different → −).
**Division**: multiply by the reciprocal. (p/q) ÷ (r/s) = (p/q) × (s/r), provided r ≠ 0.
Nothing new compared to fractions — just keep track of signs.
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