- A8
- B3
- C4
- D12
Step-by-Step Solution
Cut so far: m, so the rest is m. Number of pieces . (8 divides the whole 6 m rope; 3 is the length left, not the number of pieces.)
Answer: C) 4
Ritu has a 6 m rope for her rakhi stall. She cuts off the two pieces shown. The rest is cut into pieces of m each. How many such pieces does she get?
Class 8Rational NumbersRational Numbers
Key idea: Closure of rationals
Rationals are **closed under addition, subtraction, and multiplication** — the result is always rational.
But **division is closed only if you exclude division by 0**: for any rationals a and b ≠ 0, a ÷ b is rational.
This is more than integers (which weren't closed under division at all) and more than fractions (which sometimes had subtraction lead outside the fractions). Rationals form the smallest 'nice' number system that supports all four basic operations (with the 0-divisor exception).
But **division is closed only if you exclude division by 0**: for any rationals a and b ≠ 0, a ÷ b is rational.
This is more than integers (which weren't closed under division at all) and more than fractions (which sometimes had subtraction lead outside the fractions). Rationals form the smallest 'nice' number system that supports all four basic operations (with the 0-divisor exception).
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