# Using Number Line to Graph Percentages

Percentages may be positive or negative.

If it is positive, it is on the right-hand side of the number lines.

If it is negative, it is on the left-hand side of the number lines.

\(Percentage \ formula=(\frac{Value}{Total \ value})× 100\)

The percentage formula means you have to divide its value by the total value and then multiply the result by 100.

## Step-by-step guide to graphing percentages on the number line

Here is a step-by-step guide for graphing percentages on a number line:

- Start by creating a number line, with 0% at the left end and 100% at the right end.
- Determine the percentage you are trying to graph. For example, let’s say you are trying to graph 25%.
- Locate 25% on the number line. To do this, divide the number line into 100 equal parts, and find the 25th part.
- Mark the point on the number line where the 25th part is located. This is the point that represents 25%.
- Repeat steps 2-4 for any other percentages you need to graph.
- To graph multiple percentages on the same number line, you can use different colors or symbols to distinguish between them.
- Label the number line with the percentages you have graphed.
- Finally, check your graph for accuracy and correctness.

It is important to remember that a percentage is a ratio, and it is always out of 100. So, 25% is the same as 25/100, or 0.25. If you are trying to graph a decimal, it is important to convert it to a percentage before graphing it on the number line.

**Using Number Line to Graph Percentages – Examples 1**

Write \(\frac{3}{5}\) as a percentage and graph it on the number line.**Solution:Step 1:** To find out each unit length on the number line, divide 100 by the denominator of the fraction. \(100÷5=20\)

**Step 2:**Find 3 parts on the number line.

**Using Number Line to Graph Percentages – Examples **2

Write 5/8 as a percentage and graph it on the number line.**Solution:Step 1: **To find out each unit length on the number line, divide 100 by the denominator of the fraction. \(100÷8=1.5\)

**Step 2:**Find 3 parts on the number line.

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