Fill in the blanks on the number line based on percentages.

Understand the Problem

The image presents a number line with key percentage markers (0%, 25%, 100%, and 125%) but has empty boxes at specific points, likely indicating a question about filling in or interpreting these values.

Answer

The filled boxes are 12.5%, 50%, and 75%.

Steps to Solve

Identify the Key Points on the Number Line
The key points on the number line are 0%, 25%, 100%, and 125%. We need to determine the values at the empty boxes.
Determine the Interval between Points
The total range represented on the number line is from 0% to 125%. The intervals are as follows:

From 0% to 25%: This is a 25% interval.
From 25% to 100%: This marks a larger jump of 75%, suggesting an additional spacing.

Locate the Missing Values

The first box is between 0% and 25%. Since this is an increment of 12.5%, the first box should be 12.5%.
The second box is between 25% and 100%. This can be divided into segments. The next boxes will be 50% and 75% for those ranges. This makes sense due to equal spacing.

Place the Values into Empty Boxes
Fill in the empty boxes as follows:

The first box: 12.5%
The second box: 50%
The third box: 75%

The values to fill in the boxes are:

First box: 12.5%
Second box: 50%
Third box: 75%

More Information

The number line illustrates percentage increments, a common way to visualize proportions. The segments help break down the relationship between smaller increments and larger percentages.

Tips

Confusing the intervals: Ensure to keep track of the total percentage and how they break into smaller increments.
Overlooking uniform increments: Some might think of varied increments when they should be consistent, especially between major percentage markers.

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