Between which pair of rational numbers on a number line does 18−−√ lie?(1 point) Responses Between 9 and 9.2 Between 9 and 9.2 Between 4.2 and 4.3 Between 4.2 and 4.3 Between 8.9 and 9.1 Between 8.9 and 9.1 Between 4.3 and 4.5
To determine the pair of rational numbers between which $\sqrt{18}$ lies on the number line, we can approximate the value of $\sqrt{18}$. Since 18 is between 16 and 25, the value of $\sqrt{18}$ will be between $\sqrt{16}=4$ and $\sqrt{25}=5$. Therefore, $\sqrt{18}$ is between 4 and 5.
Since we are looking for rational numbers, we can take the rational numbers that are just before and after the decimal representation of $\sqrt{18}$.
The decimal representation of $\sqrt{18}$ is approximately 4.2426. The rational numbers that are just before and after 4.2426 are 4.2 and 4.3.
Thus, $\sqrt{18}$ lies between the pair of rational numbers 4.2 and 4.3 on the number line.
Therefore, the correct response is: Between 4.2 and 4.3.