Which letter shows the correct location of 63.8 on the number line? Explain how you arrived at your answer.
Understand the Problem
The question is asking to identify the correct position of the number 63.8 on a number line and to explain how this conclusion was reached. It requires an understanding of decimal placement between 63.0 and 64.0.
Answer
C
Answer for screen readers
The correct position of 63.8 is at point C on the number line.
Steps to Solve
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Identify the Range The number 63.8 is between 63.0 and 64.0.
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Determine the Intervals Between Markers The number line has markers at 63.0, 63.5, and 64.0. Note that the difference between each adjacent number is 0.5.
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Analyze the Placement of 63.8 Since 63.8 is greater than 63.5 but less than 64.0, it will be closer to 64.0.
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Divide the Segment Divide the segment from 63.5 to 64.0 into two equal parts:
- First half: from 63.5 to 63.75
- Second half: from 63.75 to 64.0
- Locate 63.8 on the Number Line 63.8 falls within the second half of the segment between 63.5 and 64.0, just before reaching 64.0.
The correct position of 63.8 is at point C on the number line.
More Information
63.8 is a decimal number that represents 8 tenths above 63, making it closer to 64 than to 63.5. Understanding decimal placement helps locate numbers accurately on a number line.
Tips
- Misplacing the decimal: It’s easy to confuse where on the line a decimal like 63.8 falls, especially if you're not aware of the increments.
- Not considering the divisions: Forgetting to divide the segments can lead to incorrect placements.
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