Math Example--Percents--Equations with Percents: Example 2

Topic

Solving Equations

Description

This math example demonstrates solving percent equations by asking "What is 7% of 9.5?" The solution involves converting 7% to its decimal equivalent, 0.07, and then multiplying it by 9.5 to obtain the result of 0.665. This example builds upon the previous one by introducing a decimal number as the base value.

Solving equations with percents is a fundamental skill in mathematics that has wide-ranging applications in finance, statistics, and everyday life. These examples help students understand the process of converting percentages to decimals and applying them to various numbers, including decimals. This skill is crucial for more advanced mathematical concepts and real-world problem-solving.

The importance of presenting multiple worked-out examples cannot be overstated. Each new example reinforces the concept while introducing slight variations, such as different percentages or base numbers. This approach helps students recognize patterns, adapt their problem-solving strategies, and gain confidence in their ability to handle diverse scenarios involving percentages.

Teacher Script: "Now, let's tackle this next example together. We need to find 7% of 9.5. First, what do we do with the percentage? That's right, we convert it to a decimal by dividing by 100. So, 7% becomes 0.07. Now, we multiply this by our base number, 9.5. Can anyone tell me what 0.07 × 9.5 equals? Excellent, it's 0.665. Notice how we're following the same steps as before, but now we're working with a decimal base number. This shows that our method works for whole numbers and decimals alike."

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