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.
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
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