A Student Skipped A Step When She Tried To Convert 26 Hours Into Seconds And Got The Following Incorrect Result:${ 26 \text{ Hours} \times \left(\frac{60 \text{ Seconds}}{1 \text{ Minute}}\right) = 1560 \text{ Seconds} }$What Conversion

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Understanding the Problem

When converting time units, it's essential to follow the correct order of operations to avoid errors. In this case, a student attempted to convert 26 hours into seconds but ended up with an incorrect result. Let's break down the conversion process and identify the step that was skipped.

The Incorrect Conversion

The student's incorrect conversion is as follows:

26 hours×(60 seconds1 minute)=1560 seconds{ 26 \text{ hours} \times \left(\frac{60 \text{ seconds}}{1 \text{ minute}}\right) = 1560 \text{ seconds} }

The Correct Conversion

To convert 26 hours into seconds, we need to follow the correct order of operations. Here's the step-by-step process:

Step 1: Convert Hours to Minutes

First, we need to convert 26 hours into minutes. There are 60 minutes in an hour, so we multiply 26 hours by 60 minutes per hour:

26 hours×(60 minutes1 hour)=1560 minutes{ 26 \text{ hours} \times \left(\frac{60 \text{ minutes}}{1 \text{ hour}}\right) = 1560 \text{ minutes} }

Step 2: Convert Minutes to Seconds

Next, we need to convert 1560 minutes into seconds. There are 60 seconds in a minute, so we multiply 1560 minutes by 60 seconds per minute:

1560 minutes×(60 seconds1 minute)=93600 seconds{ 1560 \text{ minutes} \times \left(\frac{60 \text{ seconds}}{1 \text{ minute}}\right) = 93600 \text{ seconds} }

The Correct Result

The correct result of converting 26 hours into seconds is 93600 seconds.

What Went Wrong?

So, what went wrong in the student's incorrect conversion? The student skipped the step of converting hours to minutes. They directly multiplied 26 hours by 60 seconds per minute, which resulted in an incorrect answer.

Conclusion

Converting time units requires a clear understanding of the order of operations. By following the correct steps, we can ensure accurate results. In this case, the student's incorrect conversion was due to skipping the step of converting hours to minutes. By following the correct order of operations, we can avoid errors and arrive at the correct result.

Common Conversion Mistakes

When converting time units, it's essential to be aware of common mistakes that can lead to errors. Here are a few common mistakes to watch out for:

  • Skipping steps: Failing to convert intermediate units, such as hours to minutes, can lead to incorrect results.
  • Incorrect unit conversion: Using the wrong conversion factor or unit can result in incorrect answers.
  • Order of operations: Failing to follow the correct order of operations can lead to errors.

Tips for Accurate Conversions

To ensure accurate conversions, follow these tips:

  • Read the problem carefully: Understand the units involved and the conversion required.
  • Follow the order of operations: Convert intermediate units, such as hours to minutes, before finalizing the conversion.
  • Use the correct conversion factors: Ensure you're using the correct conversion factors and units.
  • Double-check your work: Verify your answer by rechecking your calculations.

Conclusion

Understanding the Problem

When converting time units, it's essential to follow the correct order of operations to avoid errors. In this case, a student attempted to convert 26 hours into seconds but ended up with an incorrect result. Let's break down the conversion process and identify the step that was skipped.

The Incorrect Conversion

The student's incorrect conversion is as follows:

26 hours×(60 seconds1 minute)=1560 seconds{ 26 \text{ hours} \times \left(\frac{60 \text{ seconds}}{1 \text{ minute}}\right) = 1560 \text{ seconds} }

The Correct Conversion

To convert 26 hours into seconds, we need to follow the correct order of operations. Here's the step-by-step process:

Step 1: Convert Hours to Minutes

First, we need to convert 26 hours into minutes. There are 60 minutes in an hour, so we multiply 26 hours by 60 minutes per hour:

26 hours×(60 minutes1 hour)=1560 minutes{ 26 \text{ hours} \times \left(\frac{60 \text{ minutes}}{1 \text{ hour}}\right) = 1560 \text{ minutes} }

Step 2: Convert Minutes to Seconds

Next, we need to convert 1560 minutes into seconds. There are 60 seconds in a minute, so we multiply 1560 minutes by 60 seconds per minute:

1560 minutes×(60 seconds1 minute)=93600 seconds{ 1560 \text{ minutes} \times \left(\frac{60 \text{ seconds}}{1 \text{ minute}}\right) = 93600 \text{ seconds} }

The Correct Result

The correct result of converting 26 hours into seconds is 93600 seconds.

What Went Wrong?

So, what went wrong in the student's incorrect conversion? The student skipped the step of converting hours to minutes. They directly multiplied 26 hours by 60 seconds per minute, which resulted in an incorrect answer.

Conclusion

Converting time units requires a clear understanding of the order of operations. By following the correct steps, we can ensure accurate results. In this case, the student's incorrect conversion was due to skipping the step of converting hours to minutes. By following the correct order of operations, we can avoid errors and arrive at the correct result.

Common Conversion Mistakes

When converting time units, it's essential to be aware of common mistakes that can lead to errors. Here are a few common mistakes to watch out for:

  • Skipping steps: Failing to convert intermediate units, such as hours to minutes, can lead to incorrect results.
  • Incorrect unit conversion: Using the wrong conversion factor or unit can result in incorrect answers.
  • Order of operations: Failing to follow the correct order of operations can lead to errors.

Tips for Accurate Conversions

To ensure accurate conversions, follow these tips:

  • Read the problem carefully: Understand the units involved and the conversion required.
  • Follow the order of operations: Convert intermediate units, such as hours to minutes, before finalizing the conversion.
  • Use the correct conversion factors: Ensure you're using the correct conversion factors and units.
  • Double-check your work: Verify your answer by rechecking your calculations.

Q&A: Converting Time Units

Q: What is the correct way to convert 26 hours into seconds? A: To convert 26 hours into seconds, we need to follow the correct order of operations. First, we convert 26 hours into minutes by multiplying 26 hours by 60 minutes per hour. Then, we convert 1560 minutes into seconds by multiplying 1560 minutes by 60 seconds per minute.

Q: Why did the student's incorrect conversion result in an incorrect answer? A: The student's incorrect conversion resulted in an incorrect answer because they skipped the step of converting hours to minutes. They directly multiplied 26 hours by 60 seconds per minute, which resulted in an incorrect answer.

Q: What are some common mistakes to watch out for when converting time units? A: Some common mistakes to watch out for when converting time units include skipping steps, using the wrong conversion factor or unit, and failing to follow the correct order of operations.

Q: How can I ensure accurate conversions? A: To ensure accurate conversions, follow these tips: read the problem carefully, follow the order of operations, use the correct conversion factors, and double-check your work.

Q: What is the correct result of converting 26 hours into seconds? A: The correct result of converting 26 hours into seconds is 93600 seconds.

Conclusion

Converting time units requires a clear understanding of the order of operations. By following the correct steps, we can ensure accurate results. Remember to read the problem carefully, follow the order of operations, and use the correct conversion factors to arrive at the correct result.