Using Number Line to Graph Percentages
![Using Number Line to Graph Percentages](https://www.effortlessmath.com/wp-content/uploads/2023/01/Using-Number-Line-to-Graph-Percentages-512x240.jpg)
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.
![](https://www.effortlessmath.com/wp-content/uploads/2023/01/Using-Number-Line-to-Graph-Percentages1.jpg)
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.
![](https://www.effortlessmath.com/wp-content/uploads/2023/01/Using-Number-Line-to-Graph-Percentages2.jpg)
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