Let a and b be rational numbers. Is a+b rational or irrational? Choose 1 answer: (A) Rational (B) Irrational (c) It can be either rational or irrational

Evaluate Properties of Rational Numbers: Evaluate the properties of rational numbers. Rational numbers are numbers that can be expressed as the quotient of two integers, where the denominator is not zero. The set of rational numbers is closed under addition, which means that the sum of any two rational numbers is also a rational number.Apply Closure Property to a and b: Apply the closure property to a and b. Since a and b are both rational numbers, their sum a + b must also be a rational number according to the closure property of rational numbers under addition.Choose Correct Answer Based on Closure Property: Choose the correct answer based on the closure property. The sum a + b is a rational number, so the correct answer is (A) Rational.

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Let
a and
b be rational numbers. Is
a+b rational or irrational?
Choose 1 answer:
(A) Rational
(B) Irrational
(c) It can be either rational or irrational

Let $a$ and $b$ be rational numbers. Is $a+b$ rational or irrational? $\newline$ Choose $1$ answer: $\newline$ (A) Rational $\newline$ (B) Irrational $\newline$ (C) It can be either rational or irrational

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Math Problems

Algebra 2

Classify rational and irrational numbers

Full solution

Q. Let

a

and

b

be rational numbers. Is

a+b

rational or irrational?

\newline

Choose

1

answer:

\newline

(A) Rational

\newline

(B) Irrational

\newline

Evaluate Properties of Rational Numbers: Evaluate the properties of rational numbers. $\newline$ Rational numbers are numbers that can be expressed as the quotient of two integers, where the denominator is not zero. The set of rational numbers is closed under addition, which means that the sum of any two rational numbers is also a rational number.
Apply Closure Property to $a$ and $b$ : Apply the closure property to $a$ and $b$ . $\newline$ Since $a$ and $b$ are both rational numbers, their sum $a + b$ must also be a rational number according to the closure property of rational numbers under addition.
Choose Correct Answer Based on Closure Property: Choose the correct answer based on the closure property. $\newline$ The sum $a + b$ is a rational number, so the correct answer is (A) $\text{Rational}$ .