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# Converting Units of Time

In order to convert units of time, you must first know how these units relate to each other.

Time Relationships
• 60 seconds = 1 minute
• 60 minutes = 1 hour
• 24 hours = 1 day
• 7 days = 1 week
• 12 months = 1 year
• 52 weeks = 1 year
• 365 days = 1 year (366 for leap years)
• 10 years = 1 decade
• 100 years = 1 century
• 1000 years = 1 millennium
Conversion rule

Large to small: Multiply

Small to large: Divide

This means that if you take a larger unit and convert it to a smaller unit, you must multiply. But if you take a smaller unit and convert it to a larger one, then you must divide.

Let's take a look at some examples:

Example 1

How many hours are in 8 days?

Solution

We want to convert 8 days into hours. Days are larger than hours, and since we are going from large to small, we must multiply.

There are 24 hours in a day, so we will multiply 8 by 24.

8 x 24 = 192

Answer: There are 192 hours in 24 days.

Example 2

Solution

We have to convert 60 years into decades. Years are smaller than decades, so we are going from small to large. That means, we must divide.

Since there are 10 years in a decade, we'll divide by 10.

60 ÷ 10 = 6

Example 3

How many seconds are in 4 hours?

Solution

We'll just do the conversion in two steps:

Convert hours to minutes and then minutes to seconds.

To convert 4 hours to minutes we must first realize that we're going from large to small, so we'll multiply.

There are 60 minutes in an hour, so we'll multiply by 60.

4 x 60 = 240. There are 240 minutes in 4 hours.

Now we need to convert 240 minutes to seconds.

Since there are 60 seconds in a minute, so we will multiply it by 60.

240 x 60 = 14,400

Answer: Hence, there are 14,400 seconds in 4 hours.

Summary

Time conversions:

• 60 seconds = 1 minute
• 60 minutes = 1 hour
• 24 hours = 1 day
• 7 days = 1 week
• 12 months = 1 year
• 52 weeks = 1 year
• 365 days = 1 year (366 for leap years)
• 10 years = 1 decade
• 100 years = 1 century
• 1000 years = 1 millennium

Conversion rule:

Large to small: Multiply

Small to large: Divide