# 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**

**Adam's dad has been alive for 60 years. How many decades is that?**

**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**

**Answer: Adam's dad has been alive for 6 decades.**

**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.**

**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**