Using your tape measure as a fraction calculator

Math for Welders
6 Aug 202003:58

TLDRThis video teaches a practical method of using a tape measure as a fraction calculator, perfect for situations where a calculator is unavailable. The instructor demonstrates how to add fractions such as one-fourth plus one-half and more complex ones like 5/16 plus 1/8, by visually representing the fractions on the tape measure and then adding or subtracting them. The summary emphasizes the importance of knowing how to read a tape measure for this technique to be effective, and it offers a quick and handy trick for those in construction or similar fields.

Takeaways

  • 📏 Use a tape measure as a fraction calculator when a regular calculator is not available.
  • 👨‍🏫 Ensure you know how to read a tape measure before attempting to use it for fractions.
  • ✅ Demonstrated adding one-fourth plus one-half on a tape measure to get three-quarters.
  • 🔍 To find 5/16, locate 5 units on the tape measure and then go up by 2 units to represent 2/16, resulting in 7/16.
  • 🧩 Adding fractions involves moving the same distance on the tape measure as the fraction's value represents.
  • 📐 For 15/16 plus 3/8, recognize that 1 inch equals 16/16 and then add the respective distances for each fraction.
  • 🔢 The tape measure method can also be used for subtraction of fractions, like one and a quarter minus three eighths.
  • 🔄 The process involves counting the units on the tape measure to represent the fractions and then adding or subtracting them.
  • 🛠️ This method is a practical trick for quick fraction calculations when a calculator is not accessible.
  • ⚖️ The tape measure can serve as a makeshift tool for fraction calculations, showcasing its versatility in construction and math.

Q & A

  • What is the main topic of the video transcript?

    -The main topic of the video transcript is how to use a tape measure as a tool for calculating fractions without a calculator.

  • Why might someone need to calculate fractions without a calculator?

    -Someone might need to calculate fractions without a calculator if they accidentally step on their calculator, rendering it unusable, or if they want to perform quick calculations without the need for an electronic device.

  • What is a prerequisite for using the method described in the transcript?

    -A prerequisite for using the method described in the transcript is knowing how to read a tape measure.

  • How does the method work for adding one-fourth and one-half?

    -The method works by finding the one-fourth mark on the tape measure and then adding another one-fourth to it, which visually represents one-half. The total distance covered represents three-quarters.

  • What is the process for adding 5/16 and 1/8 using a tape measure?

    -To add 5/16 and 1/8, you first locate 5/16 on the tape measure. Knowing that a quarter is 4/16, you then add two more 1/16ths to reach 7/16, which is under a half or 8/16.

  • How can you determine 15/16ths on a tape measure?

    -You can determine 15/16ths on a tape measure by knowing that 1 inch is equivalent to 16/16ths. From there, you count up to the 15/16ths mark.

  • What is the result of adding 15/16ths and 3/8ths using the tape measure method?

    -The result of adding 15/16ths and 3/8ths using the tape measure method is 1 and 5/16ths, which is equivalent to 1 and 4/16ths.

  • Can the tape measure method be used for subtraction of fractions?

    -Yes, the tape measure method can also be used for subtraction of fractions, following the same visual process as with addition.

  • How does the method work for subtracting three-eighths from one and a quarter?

    -To subtract three-eighths from one and a quarter, you start at the one and a quarter mark and move back three-eighths, which is equivalent to three 1/16ths, leaving you at one-eighth below 1, which is 7/8.

  • What is the practical benefit of using a tape measure for fraction calculations?

    -The practical benefit of using a tape measure for fraction calculations is that it's a physical tool often carried by construction workers or DIY enthusiasts, providing a quick and accessible method for performing fraction calculations on the go.

Outlines

00:00

🔍 Utilizing Tape Measures for Fraction Calculations

The paragraph introduces an innovative method of using tape measures to solve fraction problems, particularly in a welding class setting where calculators might be damaged. The speaker addresses a concern raised by a welding teacher about students' reliance on calculators for fractions by suggesting that a tape measure can serve as an alternative tool. The method assumes the reader knows how to read a tape measure, and the speaker recommends reviewing related videos or seeking help if necessary. The paragraph proceeds to demonstrate how to add fractions using a tape measure, with examples such as one-fourth plus one-half, and more complex ones like 5/16 plus an eighth. The speaker also explains how to perform subtraction with fractions using the same technique, emphasizing the practicality of having a tape measure as a handy tool for quick calculations.

Mindmap

Keywords

💡Tape Measure

A tape measure is a flexible ruler, typically made of cloth, plastic, or metal, with linear measurements marked along its length. In the context of the video, it is used not only for measuring physical distances but also as a tool to solve fraction problems. The video demonstrates how to use the tape measure to add fractions by aligning the marks on the tape measure to represent the fractions being added.

💡Fraction

A fraction represents a numerical value that indicates a part of a whole, expressed as one integer (the numerator) divided by another (the denominator). The video uses fractions to demonstrate how they can be calculated without a calculator by using the tape measure as a visual aid, showing the addition of fractions such as one-fourth plus one-half.

💡Calculator

A calculator is an electronic device used to perform calculations. The video addresses a concern that if a student's calculator is damaged, they might not be able to perform fraction calculations. It then introduces the tape measure as an alternative method for calculating fractions.

💡Welding Teacher

A welding teacher is an instructor who teaches welding techniques and safety. In the script, the welding teacher raises a concern about the reliance on calculators, which leads to the introduction of the tape measure method for fraction calculation as a practical alternative in a construction or workshop setting.

💡Construction

Construction refers to the process of building or assembling infrastructure. The video is set in a construction context where tools like tape measures are commonly used. The method shown is particularly relevant for construction workers who may need to do quick calculations on-site.

💡Denominator

The denominator is the number below the line in a fraction, representing the total number of equal parts the whole is divided into. The video explains how to find a common denominator when adding fractions, such as adding 5/16 and 3/8, by understanding the denominators and how they relate to the tape measure's markings.

💡Numerator

The numerator is the number above the line in a fraction, indicating how many parts of the whole are being considered. In the video, the numerators of fractions are used to determine how far to move along the tape measure to perform addition.

💡Common Denominator

A common denominator is a denominator that is the same for two or more fractions, allowing them to be added or compared. The video explains how to find a common denominator when adding fractions, which is essential for using the tape measure method effectively.

💡Visual Aid

A visual aid is a device or material used to assist in the visual representation of information. In this video, the tape measure serves as a visual aid for understanding and performing fraction calculations, making it easier to see the relationship between fractions and their sum.

💡Inch

An inch is a unit of length in the imperial and US customary systems, equal to 2.54 centimeters. The video uses inches as a reference point on the tape measure to help understand fractions, such as stating that 1 inch is equivalent to 16 sixteenths.

💡Subtraction

Subtraction is the mathematical operation of removing one quantity from another. The video demonstrates that the tape measure method can also be applied to subtract fractions, showing an example of one and a quarter minus three eighths.

Highlights

Using a tape measure as a fraction calculator is a practical skill for construction workers.

This method assumes knowledge of how to read a tape measure.

Understanding basic fraction addition is key to using this method effectively.

The example of adding one-fourth plus one-half is used to demonstrate the technique.

Visualizing fractions on a tape measure helps in solving fraction addition problems.

Finding the fourth on a tape measure is crucial for the next steps.

Adding a half to a fourth on a tape measure is straightforward once you locate the fourth.

The result of one-fourth plus one-half is three-quarters on a tape measure.

The example of 5/16 plus 1/8 is used to show the method for adding different fractions.

Understanding that a quarter is 4/16 is important for solving the 5/16 plus 1/8 problem.

Adding 2/16 to 5/16 on a tape measure results in 7/16.

The tape measure can also be used for more complex fraction addition like 15/16 plus 3/8.

Knowing that 1 inch is 16/16 is useful for locating 15/16 on a tape measure.

Adding three eighths to fifteen sixteenths is demonstrated with the tape measure method.

The result of 15/16 plus 3/8 is one and five sixteenths, or 17/16, using the tape measure.

Subtraction of fractions can also be performed using the tape measure method.

An example of subtracting three eighths from one and a quarter is given.

The tape measure method can be a quick and handy tool for fraction calculations without a calculator.

This technique is especially useful for construction workers who always have a tape measure at hand.