15 Aug, 2024
· Mathematics · Technology

What is 900 seconds to minutes

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Long Explanation

Explanation

Conversion of Seconds to Minutes

To convert seconds into minutes, we use the basic time conversion factor:

1 minute=60 seconds\text{1 minute} = \text{60 seconds}

So, we need to convert 900 seconds into minutes. The formula to do this is:

Minutes=Seconds60\text{Minutes} = \frac{\text{Seconds}}{\text{60}}

Plugging in the given value:

Minutes=90060\text{Minutes} = \frac{900}{60}

Step-by-step Calculation

  1. Divide the number of seconds by 60: 900÷60=15900 \div 60 = 15

So, 900 seconds is equal to 15 minutes.

Important Note

  • Always remember there are 60 seconds in a minute for accurate conversions.
  • This formula can be applied to any number of seconds to find the equivalent in minutes.
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Concept

Time Conversion

Understanding Time Conversion

Time conversion is the process of converting time from one unit to another. Common units of time include seconds, minutes, hours, days, and years. Converting between these units often requires multiplication or division by specific factors.

Basic Time Units Relationships

  • Seconds to minutes:

    1 minute=60 seconds1 \text{ minute} = 60 \text{ seconds}
  • Minutes to hours:

    1 hour=60 minutes1 \text{ hour} = 60 \text{ minutes}
  • Hours to days:

    1 day=24 hours1 \text{ day} = 24 \text{ hours}
  • Days to years:

    1 year365.25 days1 \text{ year} \approx 365.25 \text{ days}

Conversion Examples

Converting Hours to Minutes

To convert hours to minutes, multiply the number of hours by 60:

Minutes=Hours×60\text{Minutes} = \text{Hours} \times 60

Example: Converting 3 hours to minutes:

3×60=180 minutes3 \times 60 = 180 \text{ minutes}

Converting Minutes to Seconds

To convert minutes to seconds, multiply the number of minutes by 60:

Seconds=Minutes×60\text{Seconds} = \text{Minutes} \times 60

Example: Converting 5 minutes to seconds:

5×60=300 seconds5 \times 60 = 300 \text{ seconds}

Advanced Conversions

Converting Days to Seconds

To convert days to seconds, follow multiple steps by breaking down the conversion into intermediate units:

  1. Convert days to hours:
Hours=Days×24\text{Hours} = \text{Days} \times 24
  1. Convert hours to minutes:
Minutes=Hours×60\text{Minutes} = \text{Hours} \times 60
  1. Convert minutes to seconds:
Seconds=Minutes×60\text{Seconds} = \text{Minutes} \times 60

Or consolidate into a single formula:

Seconds=Days×24×60×60\text{Seconds} = \text{Days} \times 24 \times 60 \times 60

Example: Converting 2 days to seconds:

2×24×60×60=172,800 seconds2 \times 24 \times 60 \times 60 = 172,800 \text{ seconds}

Time conversion is essential in various fields such as science, engineering, and daily life to ensure accurate and meaningful measurements. Understanding and mastering these conversions enable precise calculations and effective planning.

Concept

Division

Introduction to Division

Division is a fundamental mathematical operation that involves splitting a quantity or a number into equal parts. It is one of the four basic arithmetic operations, the others being addition, subtraction, and multiplication.

Concept of Division

To understand division, let's look at a simple example:

Suppose you have 12 apples and you want to divide them equally among 4 friends. Each friend will get:

124=3\frac{12}{4} = 3

So, each friend receives 3 apples. Here, 12 is the dividend, 4 is the divisor, and 3 is the quotient.

Division Notation

There are several ways to denote division:

  • Using the division symbol ÷\div: a÷ba \div b
  • Using a slash //: a/ba / b
  • Using fraction notation: ab\frac{a}{b}

Division as the Inverse of Multiplication

Division is considered the inverse operation of multiplication. If:

a×b=ca \times b = c

Then:

cb=a\frac{c}{b} = a

Properties of Division

Not Commutative: Unlike addition and multiplication, division is not commutative. This means:

a÷bb÷aa \div b \neq b \div a

Not Associative: Division is also not associative, which means:

(a÷b)÷ca÷(b÷c)(a \div b) \div c \neq a \div (b \div c)

Division by Zero

A very important rule in division is that division by zero is undefined. For any number aa:

a0 is undefined\frac{a}{0} \text{ is undefined}

This is because no number multiplied by 0 will ever give a non-zero dividend.

Long Division

For larger numbers, we often use a method called long division. Here is a simplified version of the long division process:

  1. Divide the first number of the dividend by the divisor.
  2. Multiply the divisor by the quotient.
  3. Subtract the result from the first number of the dividend.
  4. Bring down the next number from the dividend and repeat the process.

Example of Long Division

Suppose you want to divide 987 by 32:

  1. 32 goes into 98 two times (since 32×2=6432 \times 2 = 64).
  2. Subtract 64 from 98 to get 34.
  3. Bring down the next digit (7) to get 347.
  4. 32 goes into 347 ten times (since 32×10=32032 \times 10 = 320).
  5. Subtract 320 from 347 to get 27.

So, 987÷3230987 \div 32 \approx 30 with a remainder of 27.

Conclusion

Division is a critical arithmetic operation used in various fields of science, engineering, and daily life. Understanding the basic properties and rules of division helps in solving complex mathematical problems more efficiently.