Convert Between Hours, Minutes, and Seconds
Converting between hours, minutes, and seconds is a Grade 5 math skill in enVision Mathematics, Chapter 12: Convert Measurements. The key relationships are: 1 hour = 60 minutes, 1 minute = 60 seconds, and 1 hour = 3,600 seconds. Students multiply to convert to smaller units and divide to convert to larger units.
Key Concepts
Property The fundamental relationships for converting time are: $1 \text{ hour} = 60 \text{ minutes}$ $1 \text{ minute} = 60 \text{ seconds}$ $1 \text{ hour} = 3600 \text{ seconds}$.
Examples Convert 450 seconds to minutes: $450 \div 60 = 7.5$ minutes, or 7 minutes and 30 seconds. Convert 2 hours and 5 minutes into seconds: $(2 \times 3600) + (5 \times 60) = 7200 + 300 = 7500$ seconds. Convert 4000 seconds to hours, minutes, and seconds: $4000 \div 3600 = 1$ with a remainder of $400$. So, 1 hour and 400 seconds. Then, $400 \div 60 = 6$ with a remainder of $40$. The final answer is 1 hour, 6 minutes, and 40 seconds.
Explanation To convert between hours, minutes, and seconds, use the standard conversion factors. When converting from a larger unit to a smaller unit (e.g., hours to seconds), you multiply. When converting from a smaller unit to a larger unit (e.g., seconds to minutes), you divide. For mixed units, convert each part to the desired unit and then add them together.
Common Questions
How many seconds are in one hour?
1 hour = 60 minutes and 1 minute = 60 seconds, so 1 hour = 60 x 60 = 3,600 seconds.
How do you convert hours to minutes?
Multiply the number of hours by 60. For example, 3 hours = 3 x 60 = 180 minutes.
How do you convert seconds to minutes?
Divide the number of seconds by 60. The quotient is minutes and any remainder is leftover seconds.
Where is time conversion taught in enVision Grade 5?
Chapter 12: Convert Measurements in enVision Mathematics, Grade 5.
How many minutes are in 2 and a half hours?
2.5 x 60 = 150 minutes, or equivalently 2 hours = 120 minutes plus 30 minutes = 150 minutes.