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:

1. Start by creating a number line, with 0% at the left end and 100% at the right end.
2. Determine the percentage you are trying to graph. For example, let’s say you are trying to graph 25%.
3. Locate 25% on the number line. To do this, divide the number line into 100 equal parts, and find the 25th part.
4. Mark the point on the number line where the 25th part is located. This is the point that represents 25%.
5. Repeat steps 2-4 for any other percentages you need to graph.
6. To graph multiple percentages on the same number line, you can use different colors or symbols to distinguish between them.
7. Label the number line with the percentages you have graphed.
8. 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.