Mathematics
Grade 7
15 min
Convert time units
Convert time units
Tutorial Preview
1
Introduction & Learning Objectives
Learning Objectives
Identify common time units (seconds, minutes, hours, days, weeks, years).
Recall the standard conversion factors between different time units.
Apply multiplication to convert larger time units to smaller time units.
Apply division to convert smaller time units to larger time units.
Use ratios and proportions to set up and solve time unit conversion problems.
Solve real-world problems involving the conversion of time units.
Ever wondered how many seconds are in your favorite 3-minute song? 🎶 Or how many hours until your next birthday? 🤔
In this lesson, you'll learn how to convert between different units of time, like seconds, minutes, hours, and days. Understanding these conversions is super useful for planning events, calculating travel times, and...
2
Key Concepts & Vocabulary
TermDefinitionExample
Time UnitA standard measure used to quantify duration or the passage of time.Seconds, minutes, hours, and days are all examples of time units.
Conversion FactorA ratio (fraction) used to convert a quantity from one unit to another without changing its value.The conversion factor between minutes and seconds is $\frac{60 \text{ seconds}}{1 \text{ minute}}$ or $\frac{1 \text{ minute}}{60 \text{ seconds}}$.
RatioA comparison of two quantities by division, often expressed as a fraction or with a colon.The ratio of minutes to seconds is 1:60, meaning 1 minute for every 60 seconds.
ProportionAn equation stating that two ratios are equal, used to solve for an unknown quantity in a conversion.$\frac{1 \text{ hour}}{60 \text{ minutes}} = \frac{2 \text{ hours}}{x \text{ minutes...
3
Core Formulas
Basic Time Unit Equivalencies
$1 \text{ minute} = 60 \text{ seconds}$
$1 \text{ hour} = 60 \text{ minutes}$
$1 \text{ day} = 24 \text{ hours}$
$1 \text{ week} = 7 \text{ days}$
$1 \text{ year} = 365 \text{ days}$
These are the fundamental relationships between common time units that you need to know for conversions.
Converting Larger Units to Smaller Units (Multiply)
$\text{Value in smaller unit} = \text{Value in larger unit} \times \text{Conversion Factor}$
When converting from a larger unit (e.g., hours) to a smaller unit (e.g., minutes), you will have more of the smaller units, so you multiply by the appropriate conversion factor.
Converting Smaller Units to Larger Units (Divide)
$\text{Value in larger unit} = \text{Value in smaller unit} \div \text{Conversion F...
5 more steps in this tutorial
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Challenging
A construction project was completed in 3,600 minutes of work time. If the crew worked for 6 hours each day, how many days did it take to complete the project?
A.8 days
B.10 days
C.12 days
D.15 days
Challenging
A special clock is designed to chime every 45 seconds. How many times will it chime in a full 2-hour period?
A.120 times
B.150 times
C.160 times
D.180 times
Challenging
Three friends tracked their reading time for a week. Alex read for 1,000 minutes. Ben read for 18 hours. Chloe read for 1.2 days. Who read for the longest amount of time?
A.Alex
B.Ben
C.Chloe
D.Ben and Chloe read for the same amount of time
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