Math Example--Percents--Equations with Percents: Example 7

Topic

Solving Equations

Description

This math example focuses on solving percent equations, specifically asking "What is 45% of 68?" The solution involves converting 45% to its decimal form, 0.45, and then multiplying it by 68 to arrive at the answer of 30.6. This example introduces a larger percentage and a larger whole number as the base value, demonstrating the scalability of the percent-to-decimal conversion method.

Solving equations with percents is a critical skill in mathematics that finds applications in various fields such as finance, statistics, and everyday calculations. These examples help students grasp the fundamental concept of converting percentages to decimals and applying them to different numbers. This understanding forms the basis for more complex mathematical operations and real-world problem-solving scenarios, such as calculating taxes, discounts, or population growth.

Providing multiple worked-out examples is essential for students to fully comprehend this concept. Each new example reinforces the process while introducing different percentage values and base numbers. This approach allows students to recognize patterns, adapt their problem-solving strategies, and build confidence in handling diverse percentage-based calculations, preparing them for more advanced mathematical challenges.

Teacher Script: "Let's look at our next example. We need to find 45% of 68. What's our first step? Right, we convert the percentage to a decimal. So, 45% becomes 0.45. Now, we multiply this by our base number, 68. Can anyone tell me what 0.45 × 68 equals? Great job, it's 30.6. Notice how we're using the same method, but with larger numbers this time. This shows that our approach works consistently, regardless of the size of the percentage or base number we're working with. Remember, the key is always to convert the percentage to a decimal first, then multiply."

For a complete collection of math examples related to Solving Equations click on this link: Math Examples: Equations with Percents Collection.