Number Line:

A number line is a straight line that represents all the real numbers in a specific order. It helps us visualize the placement of numbers and their relationship to one another. The numbers on the left side of the number line are smaller than the numbers on the right side.

13.9 on the Number Line:

To determine where 13.9 lies on the number line, we need to locate the nearest whole numbers on either side of it. In this case, the whole numbers closest to 13.9 are 13 and 14.

13:
13 is to the left of 13.9 on the number line. It represents all the numbers smaller than 13.9, including integers and fractions such as 13.5, 13.1, 13.01, etc.

14:
14 is to the right of 13.9 on the number line. It represents all the numbers greater than 13.9, including integers and fractions such as 14.5, 14.1, 14.01, etc.

Nearest Whole Number:

The nearest whole number to 13.9 is the whole number that is closest to it on the number line. In this case, both 13 and 14 are equidistant from 13.9. However, since 13.9 is greater than 13.5 and less than 14.5, it is closer to 14 than 13.

Therefore, 13.9 is nearest to 14 on the number line.

Visualization:

To visualize the placement of 13.9 on the number line, we can draw a line with tick marks representing each whole number. The number 13.9 would be represented as a point between 13 and 14, slightly to the right of 13.

|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
... -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 ...
|<------------------------(13.9)------------------------>|

Conclusion:

In summary, 13.9 lies between 13 and 14 on the number line, and it is nearest to 14. By representing the numbers visually on a number line, we can easily determine the placement and proximity of a specific number.

13 and 14 and near to 14