Is3.6arationalnumber? Choices: (A)yes (B)no

Identify number type: Step 1: Identify the type of number 3.6 is. 3.6 has one digit after the decimal point and it terminates.Express as fraction: Step 2: Determine if 3.6 can be expressed as a fraction. Since 3.6 is a terminating decimal, it can be expressed as the fraction 36/10, which simplifies to 18/5.Check rational criteria: Step 3: Check if the fraction form meets the criteria for a rational number. A rational number is defined as a number that can be expressed as a fraction where both the numerator and the denominator are integers (and the denominator is not zero). 18/5 meets these criteria.

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Is $3.6$ 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

3.6

a rational number?

\newline

Choices:

\newline

(A) yes

\newline

(B) no

Identify number type: Step $1$ : Identify the type of number $3.6$ is. $3.6$ has one digit after the decimal point and it terminates.
Express as fraction: Step $2$ : Determine if $3.6$ can be expressed as a fraction. $\newline$ Since $3.6$ is a terminating decimal, it can be expressed as the fraction $\frac{36}{10}$ , which simplifies to $\frac{18}{5}$ .
Check rational criteria: Step $3$ : Check if the fraction form meets the criteria for a rational number. $\newline$ A rational number is defined as a number that can be expressed as a fraction where both the numerator and the denominator are integers (and the denominator is not zero). $\frac{18}{5}$ meets these criteria.