Two of these cables have the same width when rounded to 2 decimal places. What is their width when rounded?
Understand the Problem
The question is asking which two cables have the same width when their measurements are rounded to two decimal places. The necessary approach involves rounding each provided width to two decimal places and then identifying any duplicates.
Answer
$14.80$
Answer for screen readers
The widths of the two cables that are the same when rounded to two decimal places are $14.80$ mm.
Steps to Solve
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Identify the widths of the cables The widths of the cables are:
- Cable E: $14.7946$
- Cable F: $14.8050$
- Cable G: $14.7983$
- Cable H: $14.8049$
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Round each width to two decimal places We will round each cable's width:
- Cable E: $14.7946 \approx 14.79$
- Cable F: $14.8050 \approx 14.81$
- Cable G: $14.7983 \approx 14.80$
- Cable H: $14.8049 \approx 14.80$
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Compare the rounded values Now, we will compare the rounded widths to find duplicates:
- Cable E: $14.79$
- Cable F: $14.81$
- Cable G: $14.80$
- Cable H: $14.80$
We see that both Cable G and Cable H have a rounded width of $14.80$.
The widths of the two cables that are the same when rounded to two decimal places are $14.80$ mm.
More Information
When measurements are rounded, it can sometimes lead to different values being represented as the same number. In this case, both cables G and H share the same rounded width, highlighting the importance of precision in measurements.
Tips
- Rounding incorrectly: Ensure that you correctly round up or down based on the third decimal place.
- Overlooking duplicates: It's easy to miss that two values may round to the same number, so carefully compare all rounded results.
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