Skill: Convert units of time

Explanation and Free Practice Resources

Understanding the fixed relationships among seconds, minutes, hours, days, and weeks supports converting a time measurement between larger and smaller units by multiplying or dividing by 60, 24, or 7, and representing equivalent quantities in whole-unit or mixed-unit form. The scope includes practical whole-number conversions and emphasizes that time units are not related by powers of ten; it excludes highly precise fractional or decimal time conversions and complex calendar calculations.

Detailed Explanation: Convert units of time

Time units have fixed relationships:

  • 6060 seconds =1=1 minute
  • 6060 minutes =1=1 hour
  • 2424 hours =1=1 day
  • 77 days =1=1 week

To change a larger unit to a smaller unit, multiply. To change a smaller unit to a larger unit, divide.

Example: Convert 185185 minutes to hours and minutes.

  1. Since 6060 minutes make 11 hour, divide by 6060:
185÷60=3 remainder 5185 \div 60 = 3\text{ remainder }5
  1. The quotient, 33, tells us there are 33 whole hours.

  2. The remainder, 55, tells us there are 55 minutes left.

Therefore,

185 minutes=3 hours 5 minutes185\text{ minutes}=3\text{ hours }5\text{ minutes}

Check: 33 hours is 3×60=1803\times60=180 minutes, and 180+5=185180+5=185 minutes.

Learn by doing: Convert units of time

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Measurement Conversion - Time Units with Decimals


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