15 Aug, 2024
· Mathematics · Technology

How to convert 59 inches in feet

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Long Explanation

Explanation

Converting Inches to Feet

To convert inches to feet, you need to know that 1 foot equals 12 inches. Using this relationship, you can convert 59 inches to feet.

Calculation

First, use the conversion factor:

1 foot =12 inches1 \text{ foot } = 12 \text{ inches}

To find out how many feet are in 59 inches, divide 59 by 12:

Feet=59 inches12 inches per foot\text{Feet} = \frac{59 \text{ inches}}{12 \text{ inches per foot}}

Perform the division:

Feet=59124.92 feet\text{Feet} = \frac{59}{12} \approx 4.92 \text{ feet}

Therefore, 59 inches is approximately 4.92 feet.

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Concept

Inch To Foot Conversion

Understanding Inch to Foot Conversion

Converting measurements between inches and feet is a fundamental skill in both everyday tasks and various professional fields such as construction, tailoring, and engineering. Here’s how you can understand and perform this conversion:

Basic Conversion Principle

The fundamental relationship between inches and feet is based on the definition that 1 foot equals 12 inches. This means:

1 foot=12 inches1 \text{ foot} = 12 \text{ inches}

Conversion Formula

To convert from inches to feet, you divide the number of inches by 12. The conversion formula is:

Feet=Inches12\text{Feet} = \frac{\text{Inches}}{12}

Practical Examples

Example 1: Convert 24 inches to feet.

Feet=24 inches12=2 feet\text{Feet} = \frac{24 \text{ inches}}{12} = 2 \text{ feet}

Example 2: Convert 30 inches to feet.

Feet=30 inches12=2.5 feet\text{Feet} = \frac{30 \text{ inches}}{12} = 2.5 \text{ feet}

Importance in Daily Life

Understanding how to convert inches to feet is useful in many real-world applications such as:

  • Home Renovations: Calculating the dimensions of furniture or materials.
  • Clothing and Fabric: Measurement conversions for tailoring.
  • Travel and Transportation: Understanding measurements for cargo space.

Using the Concept with Tools

For those who frequently need to perform these conversions, using tools like ruler grids or digital converters can make the process easier and more efficient.

Key Takeaways

  • Always remember the basic relationship: 1 foot equals 12 inches.
  • Use the formula Feet=Inches12\text{Feet} = \frac{\text{Inches}}{12} for quick and accurate conversions.
  • Practice with real-life examples to become proficient in these conversions.

With this knowledge, navigating measurements that involve inches and feet becomes straightforward and manageable.

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.