Relationship involving units of time

Relationship Involving Units of Time

4.2

Relationship Involving Units of Time

1 minute = 60 seconds	1 year = 12 months	1 century = 10 decades
1 hour = 60 minutes	1 year = 365 days	1 century = 10 decades
1 day = 24 hours	1 leap year= 366 days	1 century = 100 years
1 week = 7 days	1 decade = 10 years	1 century = 100 years

CONVERT UNITS OF TIME: FRACTIONS

Hours & Minutes
\(\frac{1}{2}\, \text{Hours} = \Box \,\text{Minutes}\) \(\frac{1}{2}\, \text{Hours} \) \(= (\frac{1}{2}\times 60)\,\text{Minutes}\) \(= 30\,\text{Minutes}\) \({\frac{1}{2}\, \text{Hours} =30\text{ Minutes}}\)
Days & Hours
\(5\frac{1}{8}\text{ Days} = \Box \text{ Hours}\) \(5\frac{1}{8}\text{ Days} \) \(= (\frac{41}{8}\times24) \text{ Hours}\) \(= 123 \text{ Hours}\) \(5\frac{1}{8}\text{ Days} = 123 \text{ Hours}\)
Years & Months
\(3\frac{3}{4}\text{ Years}=\Box\text{ Months}\) \(3\frac{3}{4}\text{ Years}\) \(=(\frac{15}{4}\times12)\text{ Months}\) \(=45\text{ Months}\) \(3\frac{3}{4}\text{ Years}=45\text{ Months}\)
Decades & Years
\(5\frac{1}{5}\text{ Decades} = \Box\text{ Years}\) \(5\frac{1}{5}\text{ Decades} \) \(= (\frac{26}{5}\times10)\text{ Years}\) \(= 52\text{ Years}\) \(5\frac{1}{5}\text{ Decades} = 52\text{ Years}\)
Centuries & Decades
\(1\frac{1}{2}\text{ Centuries}=\Box\text{ Decades}\) \(1\frac{1}{2}\text{ Centuries}\) \(=(\frac{3}{2}\times10)\text{ Decades}\) \(=15\text{ Decades}\) \(1\frac{1}{2}\text{ Centuries}=15\text{ Decades}\)
Centuries & Years
\(1\frac{1}{2}\text{ Centuries}=\Box\text{ Years}\) \(1\frac{1}{2}\text{ Centuries}\) \(=(\frac{3}{2}\times100)\text{ Years}\) \(=150\text{ Years}\) \(1\frac{1}{2}\text{ Centuries}=150\text{ Years}\)

CONVERT UNITS OF TIME: DECIMALS

Hours & Minutes

\(2.5\,\text{ Hours} = \Box \text{ Minutes}\)

\(2.5\,\text{ Hours} \)
\(= (2.5 \times 60) \text{ Minutes}\)
\(= 150 \text{ Minutes}\)

\(2.5\,\text{ Hours} = 150 \text{ Minutes}\)

Days & Hours

\(3.5\text{ Days}=\Box\text{ Hours}\)

\(3.5\text{ Days} \)
\(=(3.5\times24)\text{ Hours}\)
\(=84\text{ Hours}\)

\(3.5\text{ Days}=84\text{ Hours}\)

Years & Months

\(3.75\text{ Years}=\Box\text{ Months}\)

\(3.75\text{ Years}\)
\(=(3.75\times12)\text{ Months}\)
\(=45\text{ Months}\)

\(3.75\text{ Years}=45\text{ Months}\)

Decades & Years

\(7.2\text{ Decades} = \Box\text{ Years}\)

\(7.2\text{ Decades} \)
\(= (7.2\times10)\text{ Years}\)
\(=72\text{ Years}\)

\(7.2\text{ Decades} =72\text{ Years}\)

Centuries & Decades

\(5.4\text{ Centuries} = \Box\text{ Decades}\)

\(5.4\text{ Centuries}\)
\(= (5.4\times10)\text{ Decades}\)
\(= 54\text{ Decades}\)

\(5.4\text{ Centuries} = 54\text{ Decades}\)

Centuries & Years

\(5.4\text{ Centuries} = \Box\text{ Years}\)

\(5.4\text{ Centuries} \)
\(= (5.4\times100)\text{ Years}\)
\(= 540\text{ Years}\)

\(5.4\text{ Centuries} = 540\text{ Years}\)