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How could you use the bar model in the Example to find \( 75 \% \) of 500 ?

Ask by Conner Summers. in the United States
Feb 27,2025

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Answer

To find 75% of 500 using a bar model, divide the bar into 4 equal parts, each representing 125. Then, add 3 of these parts to get 375, which is 75% of 500.

Solution

To find 75% of 500 using a bar model, you can break down the problem step by step: 1. Recognize that 75% is the same as 75/100, which simplifies to 3/4. This means you want to find 3 out of 4 equal parts of 500. 2. Draw a long rectangle (bar) to represent the whole amount, 500. 3. Divide the bar into 4 equal sections because the whole corresponds to 100%, and 4 equal parts each represent 25% of 500. 4. Calculate the value of one part: Since the whole bar is 500, each part is 500 ÷ 4 = 125. 5. Since 75% corresponds to 3 of these 4 parts, add together the value of 3 parts: 125 + 125 + 125 = 375. So, using the bar model, you visually see that 75% of 500 is 375.

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Mind Expander

Imagine a bar divided into 100 equal parts, where each part represents 1%. To find \( 75\% \) of 500 using this model, you would shade in 75 of those parts. Each part, representing 1% of 500, equals 5 (since \( 500 \div 100 = 5 \)). To get the total for \( 75\% \), you simply multiply \( 75 \times 5 = 375 \). Voilà! You've visualized the solution with a simple bar model! Next, let’s talk about a common mistake. Sometimes, people forget to divide the total into those 100 equal parts first, and instead jump into multiplying without proper visualization. This can lead to confusion, especially with larger numbers. Always take that extra moment to sketch out your bar before diving into calculations; it’ll save you from those pesky miscalculations!

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