Is2.792arationalnumber? Choices: (A)yes (B)no

Define rational number: Understand the definition of a rational number. A rational number is any number 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. Rational numbers can be either terminating or repeating decimals.Analyze given number: Analyze the given number, 2.792. 2.792 is a decimal number with three digits after the decimal point. It is a terminating decimal because it does not go on infinitely and does not have a repeating pattern.Determine fraction form: Determine if 2.792 can be written as a fraction. Since 2.792 is a terminating decimal, it can be expressed as a fraction. To convert it to a fraction, we can write it as 2792/1000, which is the fraction form of the decimal.Conclude rational number: Conclude whether 2.792 is a rational number. Since we have expressed 2.792 as a fraction (2792/1000), and both the numerator and the denominator are integers with the denominator not being zero, 2.792 is indeed a rational number.

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Is $2.792$ 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

2.792

a rational number?

\newline

Choices:

\newline

(A) yes

\newline

(B) no

Define rational number: Understand the definition of a rational number. $\newline$ A rational number is any number that can be expressed as the quotient or fraction $\frac{p}{q}$ of two integers, where $p$ and $q$ are integers and $q$ is not zero. Rational numbers can be either terminating or repeating decimals.
Analyze given number: Analyze the given number, $2.792$ . $2.792$ is a decimal number with three digits after the decimal point. It is a terminating decimal because it does not go on infinitely and does not have a repeating pattern.
Determine fraction form: Determine if $2.792$ can be written as a fraction. $\newline$ Since $2.792$ is a terminating decimal, it can be expressed as a fraction. To convert it to a fraction, we can write it as $\frac{2792}{1000}$ , which is the fraction form of the decimal.
Conclude rational number: Conclude whether $2.792$ is a rational number. $\newline$ Since we have expressed $2.792$ as a fraction ( $\frac{2792}{1000}$ ), and both the numerator and the denominator are integers with the denominator not being zero, $2.792$ is indeed a rational number.