In PE class, a student claims: “450 seconds is the same as 450 minutes.” The class uses the known equivalence that 1 minute = 60 seconds to check the claim. Which conclusion is correct?
- The claim is correct because seconds and minutes measure the same thing.
- The claim is correct because you multiply by 60 to convert seconds to minutes.
- The claim is incorrect because 450 seconds equals 7 minutes 30 seconds, not 450 minutes. (correct answer)
- The claim is incorrect because 450 seconds equals 45 minutes.
Explanation: The core skill here is converting units to solve problems, such as checking claims by changing seconds to minutes. The relationship between seconds and minutes is that 1 minute equals 60 seconds, a fundamental time unit equivalence. To convert, you divide the seconds by 60, so 450 seconds ÷ 60 = 7 minutes with 30 seconds remaining. This conversion connects to the problem by disproving the student's claim, showing 450 seconds is actually 7 minutes 30 seconds, not 450 minutes. One misconception is thinking all time units are interchangeable without conversion, like assuming seconds equal minutes directly. Unit conversion in time is important for sports and experiments to measure accurately. It also supports daily tasks like cooking or exercising where timing matters.