Is4/10arationalnumber? Choices: (A)yes (B)no

Understand the form: Step 1: Understand the form of 4/10. 4/10 can be expressed as a fraction where both numerator and denominator are integers.Simplify the fraction: Step 2: Simplify the fraction. 4/10 simplifies to 2/5 by dividing both numerator and denominator by 2.Check for terminating decimal: Step 3: Check if the simplified fraction is a terminating decimal. 2/5 when converted to decimal is 0.4, which is a terminating decimal.Determine rationality: Step 4: Determine if a terminating decimal is rational. A number is rational if it can be expressed as a fraction with integers in the numerator and denominator. Since 0.4 is a terminating decimal, it can be expressed as 4/10 or 2/5, both of which are fractions of integers.

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Is $\frac{4}{10}$ a rational number? $\newline$ Choices: $\newline$ (A) yes $\newline$ (B) no

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Math Problems

Grade 8

Identify rational and irrational numbers

Full solution

Q. Is

\frac{4}{10}

a rational number?

\newline

Choices:

\newline

(A) yes

\newline

(B) no

Understand the form: Step $1$ : Understand the form of $4/10$ . $4/10$ can be expressed as a fraction where both numerator and denominator are integers.
Simplify the fraction: Step $2$ : Simplify the fraction. $\frac{4}{10}$ simplifies to $\frac{2}{5}$ by dividing both numerator and denominator by $2$ .
Check for terminating decimal: Step $3$ : Check if the simplified fraction is a terminating decimal. $\newline$ $\frac{2}{5}$ when converted to decimal is $0.4$ , which is a terminating decimal.
Determine rationality: Step $4$ : Determine if a terminating decimal is rational. $\newline$ A number is rational if it can be expressed as a fraction with integers in the numerator and denominator. Since $0.4$ is a terminating decimal, it can be expressed as $\frac{4}{10}$ or $\frac{2}{5}$ , both of which are fractions of integers.