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The number zz is rational. Which statement about 5+z5 + z is true?\newlineChoices:\newline(A)5+z5 + z is rational.\newline(B)5+z5 + z is irrational.\newline(C)5+z5 + z can be rational or irrational, depending on the value of zz.

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Properties of operations on rational and irrational numbersright chevron icon

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Q. The number zz is rational. Which statement about 5+z5 + z is true?\newlineChoices:\newline(A)5+z5 + z is rational.\newline(B)5+z5 + z is irrational.\newline(C)5+z5 + z can be rational or irrational, depending on the value of zz.
  1. Identify Number Nature: Identify the nature of the number 55.55 is a whole number, which is also a rational number because it can be expressed as the fraction 51\frac{5}{1}.
  2. Sum Property of Rational Numbers: Understand the property of the sum of two rational numbers. The sum of two rational numbers is always a rational number. This is because if you have two fractions ab\frac{a}{b} and cd\frac{c}{d}, their sum ad+bcbd\frac{ad + bc}{bd} is also a fraction, which means it is a rational number.
  3. Apply Property to Given Numbers: Apply the property to the given numbers.\newlineSince zz is a rational number and 55 is a rational number, their sum 5+z5 + z is also a rational number.

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