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Chapter 6: Problem 87

Change 96 days to seconds.

Short Answer

Expert verified
96 days is equal to 8,294,400 seconds.

Step by step solution

01

Convert Days to Hours

There are 24 hours in a day. To find out how many hours are in 96 days, multiply 96 by 24: \[ 96 \times 24 = 2304 \text{ hours} \]
02

Convert Hours to Minutes

There are 60 minutes in an hour. To convert 2304 hours to minutes, multiply 2304 by 60: \[ 2304 \times 60 = 138240 \text{ minutes} \]
03

Convert Minutes to Seconds

There are 60 seconds in a minute. To convert 138240 minutes to seconds, multiply 138240 by 60: \[ 138240 \times 60 = 8294400 \text{ seconds} \]

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Time Conversion
Time conversion is a fascinating process that helps us understand the relationship between different units of time like days, hours, minutes, and seconds. Think about a day鈥攊t's 24 hours long. If you want to know how many hours are in a few days, you need to multiply the number of days by 24.
Consider doing a time conversion from a larger unit to smaller units as simply diving deeper into the smaller parts:
  • Days to hours鈥攎ultiply by 24
  • Hours to minutes鈥攎ultiply by 60
  • Minutes to seconds鈥攎ultiply by 60
When you convert 96 days to seconds, you go through each step: first convert days to hours, then hours to minutes, and finally, minutes to seconds. This progression makes it easy to understand and manage various tasks involving time units.
Multiplication
Multiplication is a fundamental arithmetic operation that forms the backbone of many calculations, including time conversion. It's seen as repeated addition. For instance, multiplying 96 days by 24 hours/day is like adding 24 hours repeatedly for each of the 96 days.
Let's break down why we use multiplication in time conversion:
  • If there are 24 hours in a day, then 96 days each having 24 hours gives us \[96 \times 24 = 2304 \text{ hours}\]
  • This process continues as you progress, from hours to minutes and then to seconds.
Multiplication simplifies these calculations, making it a much quicker and more efficient way to find the total number of seconds than adding each unit manually.
Prealgebra
Prealgebra sets the foundation for understanding how quantities relate to one another through mathematical operations like addition, subtraction, multiplication, and division. This foundation is crucial when dealing with time conversions.
In prealgebra, you learn about variables, constants, and the relationships among them. When converting time, you work with constant values:
  • 24 hours in a day
  • 60 minutes in an hour
  • 60 seconds in a minute
Prealgebra teaches you to use these constants with arithmetic operations to solve problems, such as determining how many seconds are in several days. These skills help you solve practical problems efficiently by breaking them down into manageable steps that involve these constant relationships.

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Most popular questions from this chapter

Use the conversion \(1 \mathrm{mi}=1.6093 \mathrm{~km}\) to convert \(4.2\) kilometers to miles, rounded to the nearest tenth of a mile.

Use the conversion \(1 \mathrm{qt}=0.946 \mathrm{~L}\) to convert \(42.4\) litres to quarts, rounded to the nearest tenth of a quart.

Use the conversion 1 gal \(=3.785 \mathrm{~L}\) to convert \(55.6\) litres to gallons, rounded to the nearest tenth of a gallon.

Use the conversion \(1 \mathrm{mi}=1.6093 \mathrm{~km}\) to convert 39 miles to kilometers, rounded to the nearest tenth of a kilometer.

Use the conversion \(1 \mathrm{~m}=1.0936 \mathrm{yd}\) to convert \(8.4\) meters to yards, rounded to the nearest tenth of a yard.
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