Is5.100arationalnumber? Choices: (A)yes (B)no

Analyze number 5.100: Step 1: Analyze the number 5.100. 5.100 has three digits after the decimal point and it terminates. Determine terminating decimal: Step 2: Determine if 5.100 is a terminating decimal. Since 5.100 can be expressed as 5.100/1 or 5100/1000 after simplifying, it is a terminating decimal. Define rational irrational numbers: Step 3: Define rational and irrational numbers. A rational number can be expressed as a fraction with integers in the numerator and a non-zero integer in the denominator. An irrational number cannot be expressed this way. Check rational number definition: Step 4: Check if 5.100 fits the definition of a rational number. Since 5.100 is a terminating decimal, it can be expressed as a fraction (5100/1000), which simplifies to 51/10. Both 51 and 10 are integers, and 10 is not zero.

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Is $5.100$ a rational number? $\newline$ Choices: $\newline$ (A) yes $\newline$ (B) no

View step-by-step help

Home

Math Problems

Grade 8

Identify rational and irrational numbers

Full solution

Q. Is

5.100

a rational number?

\newline

Choices:

\newline

(A) yes

\newline

(B) no

Analyze number $5.100$ : Step $1$ : Analyze the number $5.100$ . $\newline$ $5.100$ has three digits after the decimal point and it terminates.
Determine terminating decimal: Step $2$ : Determine if $5.100$ is a terminating decimal. $\newline$ Since $5.100$ can be expressed as $\frac{5.100}{1}$ or $\frac{5100}{1000}$ after simplifying, it is a terminating decimal.
Define rational irrational numbers: Step $3$ : Define rational and irrational numbers. $\newline$ A rational number can be expressed as a fraction with integers in the numerator and a non-zero integer in the denominator. An irrational number cannot be expressed this way.
Check rational number definition: Step $4$ : Check if $5.100$ fits the definition of a rational number. $\newline$ Since $5.100$ is a terminating decimal, it can be expressed as a fraction $(5100/1000)$ , which simplifies to $51/10$ . Both $51$ and $10$ are integers, and $10$ is not zero.