Where is the number 7/3 located on the number line?

To determine the location of the number 7/3 on the number line, it is helpful to convert this improper fraction into a mixed number. Dividing 7 by 3 yields 2 with a remainder of 1, which can be expressed as:

[

7/3 = 2 \frac{1}{3}

]

This result indicates that 7/3 is 2 whole units and an additional one-third of the way to the next whole number.

On the number line, the whole number segments are located as follows:

• Between 1 and 2, we have values from 1 to just under 2.

• Between 2 and 3, we are looking at values from 2 to just under 3.

Since 2 whole units plus one-third of a unit falls between the numbers 2 and 3, 7/3 is correctly placed in the segment between 2 and 3 on the number line. This understanding is crucial for interpreting rational numbers and their placements relative to whole numbers. The placement in this manner allows us to visualize that 7/3 is greater than 2 but less than 3, confirming that it lies strictly between these two whole numbers.