Is9/10arationalnumber? Choices: (A)yes (B)no

Understand the form: Step 1: Understand the form of 9/10. 9/10 is expressed as a fraction where both numerator (9) and denominator (10) are integers.Check simplest form: Step 2: Check if the fraction is in simplest form. Since 9 and 10 have no common factors other than 1, 9/10 is already in its simplest form.Determine terminating decimal: Step 3: Determine if 9/10 is a terminating decimal. Divide 9 by 10 to convert the fraction into a decimal. 9 ÷ 10 = 0.9, which is a terminating decimal.Conclude rational number: Step 4: Conclude if 9/10 is rational based on its decimal form. A rational number can be expressed as a fraction of two integers or as a terminating or repeating decimal. Since 9/10 is a terminating decimal, it is a rational number.

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Is $\frac{9}{10}$ 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{9}{10}

a rational number?

\newline

Choices:

\newline

(A) yes

\newline

(B) no

Understand the form: Step $1$ : Understand the form of $\frac{9}{10}$ . $\frac{9}{10}$ is expressed as a fraction where both numerator ( $9$ ) and denominator ( $10$ ) are integers.
Check simplest form: Step $2$ : Check if the fraction is in simplest form. $\newline$ Since $9$ and $10$ have no common factors other than $1$ , $\frac{9}{10}$ is already in its simplest form.
Determine terminating decimal: Step $3$ : Determine if $\frac{9}{10}$ is a terminating decimal. $\newline$ Divide $9$ by $10$ to convert the fraction into a decimal. $9 \div 10 = 0.9$ , which is a terminating decimal.
Conclude rational number: Step $4$ : Conclude if $\frac{9}{10}$ is rational based on its decimal form. $\newline$ A rational number can be expressed as a fraction of two integers or as a terminating or repeating decimal. Since $\frac{9}{10}$ is a terminating decimal, it is a rational number.