8. maria says the following list of numbers contain only rational numbers. which of the following could be…
8. maria says the following list of numbers contain only rational numbers. which of the following could be added so that her statement is still true? {4.7, -0.65, \\frac{13}{4}, ___} a. \\pi b. 0 c. 3.4189308.... d. -7.6
Answer
Explanation:
Step1: Recall rational number definition
A rational number can be written as a fraction $\frac{p}{q}$ where $p,q$ are integers and $q\neq0$, or as a terminating or repeating decimal.
Step2: Analyze option A
$\pi = 3.1415926\cdots$ is an irrational number as it is a non - repeating, non - terminating decimal.
Step3: Analyze option B
$0=\frac{0}{1}$, it is a rational number.
Step4: Analyze option C
$3.4189308\cdots$ is a non - repeating, non - terminating decimal, so it is an irrational number.
Step5: Analyze option D
$-7.6=-\frac{76}{10}=-\frac{38}{5}$, it is a rational number.
Answer:
B. 0, D. -7.6