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Which statement about closure is TRUE for rational numbers?
Consider addition, subtraction, multiplication and division carefully before answering.

Class 8Properties of Rational NumbersNumber System
  • AThey are closed under addition, subtraction and multiplication, but not division
  • BThey are closed under all four operations
  • CThey are closed only under multiplication
  • DThey are closed only under addition

Step-by-Step Solution

Sum, difference and product of two rationals is always rational, but division by 0 is undefined, so division fails closure.
Answer: A) They are closed under addition, subtraction and multiplication, but not division

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