Is the following number rational or irrational? (0.4)/(0.8) Choose 1 answer: (A) Rational (B) Irrational

Evaluate division of 0.4 by 0.8: Evaluate the division of 0.4 by 0.8. (0.4)/(0.8) = 0.4 ÷ 0.8 To simplify, we can multiply both the numerator and the denominator by 10 to remove the decimal points. (0.4 * 10) / (0.8 * 10) = 4 / 8Simplify by multiplying numerator and denominator by 10: Now simplify the fraction 4/8. 4 / 8 can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is 4. (4 ÷ 4) / (8 ÷ 4) = 1 / 2Simplify fraction 4/8: Identify whether 1/2 is a rational or irrational number. 1/2 is a fraction where both the numerator and the denominator are integers, and the denominator is not zero. Therefore, 1/2 is a rational number.

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Is the following number rational or irrational?

(0.4)/(0.8)
Choose 1 answer:
(A) Rational
(B) Irrational

Is the following number rational or irrational? $\newline$ $\frac{0.4}{0.8}$ $\newline$ 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

\frac{0.4}{0.8}

\newline

Choose

1

answer:

\newline

(A) Rational

\newline

(B) Irrational

Evaluate division of $0.4$ by $0.8$ : Evaluate the division of $0.4$ by $0.8$ . $\newline$ $\frac{0.4}{0.8} = 0.4 \div 0.8$ $\newline$ To simplify, we can multiply both the numerator and the denominator by $10$ to remove the decimal points. $\newline$ $\frac{0.4 \times 10}{0.8 \times 10} = \frac{4}{8}$
Simplify by multiplying numerator and denominator by $10$ : Now simplify the fraction $\frac{4}{8}$ .
$\frac{4}{8}$ can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is $4$ .
$(\frac{4}{4}) / (\frac{8}{4}) = \frac{1}{2}$
Simplify fraction $\frac{4}{8}$ : Identify whether $\frac{1}{2}$ is a rational or irrational number. $\newline$ $\frac{1}{2}$ is a fraction where both the numerator and the denominator are integers, and the denominator is not zero. Therefore, $\frac{1}{2}$ is a rational number.