Is the following number rational or irrational? 0.692 Choose 1 answer: (A) Rational (B) Irrational

Define rational numbers: Question prompt: Is the number 0.692 rational or irrational?Check if 0.692 is a fraction: Understand the definition of rational numbers. Rational numbers are numbers that can be expressed as the quotient or fraction p/q of two integers, where p and q are integers and q is not zero.Express 0.692 as a fraction: Determine if 0.692 can be expressed as a fraction. 0.692 is a decimal number with a finite number of digits after the decimal point. This means it can be expressed as a fraction with a denominator that is a power of 10. Specifically, 0.692 = 692/1000.Simplify the fraction: Simplify the fraction, if possible. The fraction 692/1000 can be simplified by dividing both the numerator and the denominator by the greatest common divisor (GCD). However, for the purpose of determining if the number is rational, simplification is not necessary. Since 692 and 1000 are both integers and 1000 is not zero, 692/1000 is a fraction and therefore 0.692 is a rational number.

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Is the following number rational or irrational?

0.692
Choose 1 answer:
(A) Rational
(B) Irrational

Is the following number rational or irrational? $\newline$ $0.692$ $\newline$ Choose $1$ answer: $\newline$ (A) Rational $\newline$ (B) Irrational

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Math Problems

Algebra 2

Classify rational and irrational numbers

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Q. Is the following number rational or irrational?

\newline

0.692

\newline

Choose

1

answer:

\newline

(A) Rational

\newline

(B) Irrational

Define rational numbers: Question prompt: Is the number $0.692$ rational or irrational?
Check if $0.692$ is a fraction: Understand the definition of rational numbers. $\newline$ Rational numbers are numbers that can be expressed as the quotient or fraction $\frac{p}{q}$ of two integers, where $p$ and $q$ are integers and $q \neq 0$ .
Express $0.692$ as a fraction: Determine if $0.692$ can be expressed as a fraction. $0.692$ is a decimal number with a finite number of digits after the decimal point. This means it can be expressed as a fraction with a denominator that is a power of $10$ . Specifically, $0.692 = \frac{692}{1000}$ .
Simplify the fraction: Simplify the fraction, if possible. $\newline$ The fraction $692/1000$ can be simplified by dividing both the numerator and the denominator by the greatest common divisor (GCD). However, for the purpose of determining if the number is rational, simplification is not necessary. Since $692$ and $1000$ are both integers and $1000$ is not zero, $692/1000$ is a fraction and therefore $0.692$ is a rational number.