Problem 34 - Thinking Mathematically

Question

The average life expectancy in Mozambique is \(40.3\) years. Estimate the country's life expectancy in hours.

Step-by-Step Solution

Answer

The estimated average life expectancy in Mozambique is approximately \(352828\) hours.

Step 1: Conversion from years to days

There are usually 365 days in a year. Therefore, to convert the average life expectancy from years to days, multiply \(40.3\) years by \(365\) days/year.

Step 2: Calculate the number of days

Multiply \(40.3\) by \(365\) to get \(14709.5\) days.

Step 3: Conversion from days to hours

To convert the number of days into hours, multiply the number of days by the number of hours in a day, which is \(24\) hours/day.

Step 4: Calculate the number of hours

Multiply \(14709.5\) days by \(24\) hours/day to get \(352828\) hours.

Key Concepts

Unit Conversion

Unit conversion is an essential skill in math and science that allows us to change measurements from one unit to another. In order to understand conversions, we need to know the relationships between different units. For instance, in our given exercise, converting life expectancy from years to hours involves several steps of conversion. Here’s how:

• First, we convert years to days because it’s easier to work with smaller increments.
• There are generally 365 days in a year, so we multiply the life expectancy in years by 365 to get the total number of days.
• Next, we convert days to hours. Since there are 24 hours in a day, we multiply the total number of days by 24.

These basic conversions help us make accurate calculations in different units, giving us a better perception of time or distance across various contexts.

Average Life Expectancy

Average life expectancy is a statistical measure that gives us an estimate of the average number of years a population is expected to live. It takes into account various factors like healthcare, lifestyle, and socio-economic conditions. For instance, in places like Mozambique with a life expectancy of 40.3 years, certain difficulties and challenges may impact these numbers significantly. Understanding life expectancy helps governments and organizations in planning and allocating resources efficiently. It also provides insights into the improvements needed within a community or nation. Thus, knowing the average duration people live can play a critical role in shaping policies and health interventions, aiming to increase this figure where possible.

Mathematical Estimation

Mathematical estimation is a key problem-solving tool that helps us make quick, approximate calculations. Estimation doesn’t require exact numbers but rather serves to provide a reasonable guess. In the context of converting life expectancy to hours, estimation helps simplify complex problems by focusing on significant figures and rounded values.

• We start by estimating the number of days in a year, commonly using 365, even though a leap year contains an additional day.
• By multiplying the years by days, and then days by hours, we derive an estimated total number of hours.
• This estimated value helps us grasp large figures, making them easier to interpret and compare.

Using estimation, we improve our ability to analyze data and make informed decisions quickly without getting bogged down by exact numbers.