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Consider the set S = {0, 1}.
For how many of the four operations (addition, subtraction, multiplication, division by a non-zero element) is S NOT closed?
(Hint: check whether each result stays inside {0, 1}.)

Class 8Properties of Rational NumbersRational Numbers
  • A2
  • B4
  • C3
  • D1

Step-by-Step Solution

Addition: 1+1 = 2 (not in S) -> not closed. Subtraction: 0-1 = -1 (not in S) -> not closed. Multiplication: products 0,0,0,1 all in S -> closed. Division by non-zero (only divisor 1): in S -> closed. So 2 operations fail.
Answer: A) 2

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