Problem 33 - Prealgebra

Question

High Jump. If a person high jumps 6 feet 8 inches, how many inches is the jump?

Step-by-Step Solution

Answer

The high jump is 80 inches.

Step 1: Understand the Units

The problem provides a measure in feet and inches, and asks you to convert the entire measurement into inches. There are 12 inches in a foot, so we'll need to use this equivalence to make the conversion.

Step 2: Convert Feet to Inches

First, we need to convert 6 feet to inches. Since there are 12 inches in a foot, multiply 6 by 12 to get the equivalent in inches: \(6 \text{ feet} \times 12 \text{ inches/foot} = 72 \text{ inches}\).

Step 3: Add the Remaining Inches

Now, include the additional 8 inches that were part of the initial measurement: \(72 \text{ inches} + 8 \text{ inches} = 80 \text{ inches}\).

Step 4: Verify the Total Inches

Finally, verify your work to ensure all conversions are correctly done. Our total measurement in inches is 80 inches.

Key Concepts

Measurement in Inches

When discussing measurements, especially in regions where the imperial system is used, inches are a common unit of length. An inch is a small unit that defines a measure of length primarily in the United States and Canada. For students, getting familiar with how many inches make up everyday objects or events can provide a more intuitive grasp of the scale of things.
For instance, knowing that a standard paperclip is approximately one inch long helps put the length in perspective. The ability to visualize or grasp measurements in inches enhances problem-solving as it makes abstract numbers more relatable.
Even if some students come from places where metric measurements dominate, learning to convert from other units like feet or centimeters to inches enhances their problem-solving versatility. It allows them to navigate through various measurement systems with ease.

Feet to Inches Conversion

Converting feet to inches is an essential skill in understanding measurements, especially for tasks involving both units. The relationship is simple: 1 foot equals 12 inches. This conversion factor is crucial because it allows students to translate larger units (feet) into smaller units (inches) easily.
To convert feet to inches, you simply multiply the number of feet by 12. This multiplication is straightforward:

• If you have 2 feet, you compute it as: \[2 \times 12 = 24 \text{ inches}\]
• In another example, for 5 feet: \[5 \times 12 = 60 \text{ inches}\]

This conversion allows for more precise measurements when combined with additional inches. It becomes particularly useful in situations like construction, design, and athletics, where precise measurements are necessary.

Problem Solving Steps

Solving problems involving unit conversions requires a structured approach. Let's delve into steps that can aid students in handling these exercises efficiently.
First, thoroughly understand the units involved in the problem. Clarify which measurements are given and which are required in the solution.
Next, use known conversions as stepping stones. For the feet to inches conversion, remember that 1 foot = 12 inches. Apply this by multiplying the number of feet by 12 to convert.
Once the conversion is complete, always add any remaining units given in the problem (like extra inches) to your tally. Keep careful track of your sums and conversion operations.
Finally, double-check calculations to ensure accuracy. By verifying each step and revisiting the conversion, students build confidence in their problem-solving skills, ensuring they get the correct solution each time.