Number line worksheets.
Give fractions a position.

Graph fractions on a number line, then compare integer, quarter-unit, decimal and half-unit scales. Sort the six values in each case and calculate their range.

Use the student pack for an attempt, then compare the separate reference or worked answer. Every case is original. All PDF and editable SVG resources are free without signup; each collection pack repeats its individual sheets in the same order.

The examples and datasets are made for these worksheets. They are not measured classroom results, published textbook questions or evidence about real people. Axis values and the supplied data determine the answers; paper measurements do not replace those numbers.

NL01: Integer locations

The table gives one worked case so you can check the method. The separate answer files contain the completed plots and results for every case. Equivalent fractions and decimals name the same locations.

1. Locating Values on the Number Line Begin by identifying the specific case you are working on, such as integer locations or quarter-unit fractions. Each case provides a defined minimum and maximum value along with a specific step size. For instance, the integer case spans from negative five to positive five with a step of one. Locate zero first, as negative values always appear to the left. Plot the six given numbers in two separate rows of three. Ensure you place each value at its exact coordinate based on the stated step, rather than estimating positions visually. This precise placement is critical for the subsequent sorting and range calculation steps.
2. Sorting and Calculating Range After plotting the six values, combine them into a single list and sort them from smallest to largest. This ordering is essential for determining the range correctly. Identify the smallest value at the beginning of the sorted list and the largest value at the end. Subtract the smallest value from the largest value to calculate the range. Remember that negative numbers are smaller than positive numbers, so subtracting a negative minimum adds its absolute value in this calculation. This calculation relies entirely on the listed values provided in the resource, ensuring accuracy without physical measurement errors.
3. Understanding Interval Counts When analyzing the number line, focus on counting the intervals between marks rather than the marks themselves. This distinction is vital for understanding the scale and step size of each case. For example, in the tenths and decimals case, the step is one-tenth, meaning each interval represents that specific increment. Whole integers are labeled clearly, while fractional subdivisions are indicated by ticks with their step stated. By counting intervals, you verify the distance between plotted points accurately. This method ensures that your interpretation of the number line aligns with the mathematical definitions provided in the original fictional classroom examples.

Choose the Letter or A4 file that matches your paper. Actual size / 100% preserves the designed layout; a different uniform print scale changes physical lengths but does not change the listed numbers or the arithmetic. Keep the whole chart and all labels inside the printable area. A ruler can help draw straight segments, but calculate from the stated numerical scale.

These files have digital geometry, arithmetic and page-boundary checks. Physical printer and classroom trials have not been completed. The resources are practice material, with no claim of curriculum certification or precision-instrument accuracy. The original files use CC BY 4.0: credit Zumola, link the license and indicate changes.

Further reading: OpenStax: decimals on a number line. The data tables, illustrations and exercise cases here are original Zumola work.