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The number aa is rational. Which statement about a−3a - 3 is true?\newlineChoices:\newline(A)a−3a - 3 is rational.\newline(B)a−3a - 3 is irrational.\newline(C)a−3a - 3 can be rational or irrational, depending on the value of aa.

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Properties of operations on rational and irrational numbersright chevron icon

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Q. The number aa is rational. Which statement about a−3a - 3 is true?\newlineChoices:\newline(A)a−3a - 3 is rational.\newline(B)a−3a - 3 is irrational.\newline(C)a−3a - 3 can be rational or irrational, depending on the value of aa.
  1. Identify Number 33: Identify the nature of the number 33. 33 is a whole number, which is also a rational number because it can be expressed as a fraction (31)(\frac{3}{1}).
  2. Properties of Rational Numbers: Understand the properties of rational numbers. Rational numbers are closed under addition and subtraction. This means that the sum or difference of two rational numbers is always a rational number.
  3. Apply Property to Expression: Apply the property of rational numbers to the expression a−3a - 3. Since aa is rational and 33 is rational, their difference a−3a - 3 must also be rational.

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