Let's solve this step-by-step.
1. Understanding the Problem:
We need to determine between which two consecutive whole numbers the square root of 54 lies.
2. Finding the Square Root of 54:
When we take the square root of 54, we get approximately [tex]\( \sqrt{54} \approx 7.348 \)[/tex].
3. Identifying Consecutive Whole Numbers:
We need to find two whole numbers such that [tex]\( 7 \leq \sqrt{54} < 8 \)[/tex].
Since [tex]\( 7.348 \)[/tex] is greater than 7 but less than 8, it lies between the whole numbers 7 and 8.
4. Justifying the Answer:
Therefore, the square root of 54 lies between the consecutive whole numbers 7 and 8.
So, you can fill out the sentence as follows:
The square root of 54 lies between 7 and 8.
And on a number line, you can place [tex]\( \sqrt{54} \)[/tex] at an appropriate position between 7 and 8 to reflect this.
