Illustrative Math Alignment: Grade 7 Unit 9
Putting it All Together
Lesson 6: Fermi Problems
Use the following Media4Math resources with this Illustrative Math lesson.
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Math Example--Percents--Equations with Percents: Example 26 | Math Example--Percents--Equations with Percents: Example 26TopicSolving Equations DescriptionThis math example demonstrates solving percent equations by asking "300 is what percent of 3.5?" The solution involves setting up the equation 3.5 * (x / 100) = 300, then solving for x to get x = 300 * (100 / 3.5), which equals 8571.43%. This example introduces a scenario where the resulting percentage is extremely large, over 8000%, due to the first number being significantly larger than the small decimal base number. |
Solving Percent Equations |
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Math Example--Percents--Equations with Percents: Example 26 | Math Example--Percents--Equations with Percents: Example 26TopicSolving Equations DescriptionThis math example demonstrates solving percent equations by asking "300 is what percent of 3.5?" The solution involves setting up the equation 3.5 * (x / 100) = 300, then solving for x to get x = 300 * (100 / 3.5), which equals 8571.43%. This example introduces a scenario where the resulting percentage is extremely large, over 8000%, due to the first number being significantly larger than the small decimal base number. |
Solving Percent Equations |
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Math Example--Percents--Equations with Percents: Example 27 | Math Example--Percents--Equations with Percents: Example 27TopicSolving Equations DescriptionThis math example focuses on solving percent equations by asking "278 is what percent of 99?" The solution involves setting up the equation 99 * (x / 100) = 278, then solving for x to get x = 278 * (100 / 99), which equals 280.80%. This example demonstrates how to calculate a percentage when the first number is significantly larger than the second, resulting in a percentage greater than 200%. |
Solving Percent Equations |
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Math Example--Percents--Equations with Percents: Example 27 | Math Example--Percents--Equations with Percents: Example 27TopicSolving Equations DescriptionThis math example focuses on solving percent equations by asking "278 is what percent of 99?" The solution involves setting up the equation 99 * (x / 100) = 278, then solving for x to get x = 278 * (100 / 99), which equals 280.80%. This example demonstrates how to calculate a percentage when the first number is significantly larger than the second, resulting in a percentage greater than 200%. |
Solving Percent Equations |
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Math Example--Percents--Equations with Percents: Example 27 | Math Example--Percents--Equations with Percents: Example 27TopicSolving Equations DescriptionThis math example focuses on solving percent equations by asking "278 is what percent of 99?" The solution involves setting up the equation 99 * (x / 100) = 278, then solving for x to get x = 278 * (100 / 99), which equals 280.80%. This example demonstrates how to calculate a percentage when the first number is significantly larger than the second, resulting in a percentage greater than 200%. |
Solving Percent Equations |
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Math Example--Percents--Equations with Percents: Example 27 | Math Example--Percents--Equations with Percents: Example 27TopicSolving Equations DescriptionThis math example focuses on solving percent equations by asking "278 is what percent of 99?" The solution involves setting up the equation 99 * (x / 100) = 278, then solving for x to get x = 278 * (100 / 99), which equals 280.80%. This example demonstrates how to calculate a percentage when the first number is significantly larger than the second, resulting in a percentage greater than 200%. |
Solving Percent Equations |
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Math Example--Percents--Equations with Percents: Example 27 | Math Example--Percents--Equations with Percents: Example 27TopicSolving Equations DescriptionThis math example focuses on solving percent equations by asking "278 is what percent of 99?" The solution involves setting up the equation 99 * (x / 100) = 278, then solving for x to get x = 278 * (100 / 99), which equals 280.80%. This example demonstrates how to calculate a percentage when the first number is significantly larger than the second, resulting in a percentage greater than 200%. |
Solving Percent Equations |
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Math Example--Percents--Equations with Percents: Example 28 | Math Example--Percents--Equations with Percents: Example 28TopicSolving Equations DescriptionThis math example demonstrates solving percent equations by asking "300 is what percent of 75.5?" The solution involves setting up the equation 75.5 * (x / 100) = 300, then solving for x to get x = 300 * (100 / 75.5), which equals 397.35%. This example introduces a scenario where the resulting percentage is close to 400%, with the first number being significantly larger than the decimal base number. |
Solving Percent Equations |
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Math Example--Percents--Equations with Percents: Example 28 | Math Example--Percents--Equations with Percents: Example 28TopicSolving Equations DescriptionThis math example demonstrates solving percent equations by asking "300 is what percent of 75.5?" The solution involves setting up the equation 75.5 * (x / 100) = 300, then solving for x to get x = 300 * (100 / 75.5), which equals 397.35%. This example introduces a scenario where the resulting percentage is close to 400%, with the first number being significantly larger than the decimal base number. |
Solving Percent Equations |
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Math Example--Percents--Equations with Percents: Example 28 | Math Example--Percents--Equations with Percents: Example 28TopicSolving Equations DescriptionThis math example demonstrates solving percent equations by asking "300 is what percent of 75.5?" The solution involves setting up the equation 75.5 * (x / 100) = 300, then solving for x to get x = 300 * (100 / 75.5), which equals 397.35%. This example introduces a scenario where the resulting percentage is close to 400%, with the first number being significantly larger than the decimal base number. |
Solving Percent Equations |
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Math Example--Percents--Equations with Percents: Example 28 | Math Example--Percents--Equations with Percents: Example 28TopicSolving Equations DescriptionThis math example demonstrates solving percent equations by asking "300 is what percent of 75.5?" The solution involves setting up the equation 75.5 * (x / 100) = 300, then solving for x to get x = 300 * (100 / 75.5), which equals 397.35%. This example introduces a scenario where the resulting percentage is close to 400%, with the first number being significantly larger than the decimal base number. |
Solving Percent Equations |
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Math Example--Percents--Equations with Percents: Example 28 | Math Example--Percents--Equations with Percents: Example 28TopicSolving Equations DescriptionThis math example demonstrates solving percent equations by asking "300 is what percent of 75.5?" The solution involves setting up the equation 75.5 * (x / 100) = 300, then solving for x to get x = 300 * (100 / 75.5), which equals 397.35%. This example introduces a scenario where the resulting percentage is close to 400%, with the first number being significantly larger than the decimal base number. |
Solving Percent Equations |
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Math Example--Percents--Equations with Percents: Example 29 | Math Example--Percents--Equations with Percents: Example 29TopicSolving Equations DescriptionThis math example focuses on solving percent equations by asking "400 is what percent of 220?" The solution involves setting up the equation 220 * (x / 100) = 400, then solving for x to get x = 400 * (100 / 220), which equals 181.81%. This example demonstrates how to calculate a percentage when the first number is nearly double the second, resulting in a percentage between 150% and 200%. |
Solving Percent Equations |
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Math Example--Percents--Equations with Percents: Example 29 | Math Example--Percents--Equations with Percents: Example 29TopicSolving Equations DescriptionThis math example focuses on solving percent equations by asking "400 is what percent of 220?" The solution involves setting up the equation 220 * (x / 100) = 400, then solving for x to get x = 400 * (100 / 220), which equals 181.81%. This example demonstrates how to calculate a percentage when the first number is nearly double the second, resulting in a percentage between 150% and 200%. |
Solving Percent Equations |
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Math Example--Percents--Equations with Percents: Example 29 | Math Example--Percents--Equations with Percents: Example 29TopicSolving Equations DescriptionThis math example focuses on solving percent equations by asking "400 is what percent of 220?" The solution involves setting up the equation 220 * (x / 100) = 400, then solving for x to get x = 400 * (100 / 220), which equals 181.81%. This example demonstrates how to calculate a percentage when the first number is nearly double the second, resulting in a percentage between 150% and 200%. |
Solving Percent Equations |
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Math Example--Percents--Equations with Percents: Example 29 | Math Example--Percents--Equations with Percents: Example 29TopicSolving Equations DescriptionThis math example focuses on solving percent equations by asking "400 is what percent of 220?" The solution involves setting up the equation 220 * (x / 100) = 400, then solving for x to get x = 400 * (100 / 220), which equals 181.81%. This example demonstrates how to calculate a percentage when the first number is nearly double the second, resulting in a percentage between 150% and 200%. |
Solving Percent Equations |
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Math Example--Percents--Equations with Percents: Example 29 | Math Example--Percents--Equations with Percents: Example 29TopicSolving Equations DescriptionThis math example focuses on solving percent equations by asking "400 is what percent of 220?" The solution involves setting up the equation 220 * (x / 100) = 400, then solving for x to get x = 400 * (100 / 220), which equals 181.81%. This example demonstrates how to calculate a percentage when the first number is nearly double the second, resulting in a percentage between 150% and 200%. |
Solving Percent Equations |
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Math Example--Percents--Equations with Percents: Example 3 | Math Example--Percents--Equations with Percents: Example 3TopicSolving Equations DescriptionThis math example focuses on solving percent equations, specifically asking "What is 8% of 58?" The solution involves converting 8% to its decimal form, 0.08, and then multiplying it by 58 to arrive at the answer of 4.64. This example introduces a larger whole number as the base value, demonstrating the scalability of the percent-to-decimal conversion method. |
Solving Percent Equations |
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Math Example--Percents--Equations with Percents: Example 3 | Math Example--Percents--Equations with Percents: Example 3TopicSolving Equations DescriptionThis math example focuses on solving percent equations, specifically asking "What is 8% of 58?" The solution involves converting 8% to its decimal form, 0.08, and then multiplying it by 58 to arrive at the answer of 4.64. This example introduces a larger whole number as the base value, demonstrating the scalability of the percent-to-decimal conversion method. |
Solving Percent Equations |
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Math Example--Percents--Equations with Percents: Example 3 | Math Example--Percents--Equations with Percents: Example 3TopicSolving Equations DescriptionThis math example focuses on solving percent equations, specifically asking "What is 8% of 58?" The solution involves converting 8% to its decimal form, 0.08, and then multiplying it by 58 to arrive at the answer of 4.64. This example introduces a larger whole number as the base value, demonstrating the scalability of the percent-to-decimal conversion method. |
Solving Percent Equations |
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Math Example--Percents--Equations with Percents: Example 3 | Math Example--Percents--Equations with Percents: Example 3TopicSolving Equations DescriptionThis math example focuses on solving percent equations, specifically asking "What is 8% of 58?" The solution involves converting 8% to its decimal form, 0.08, and then multiplying it by 58 to arrive at the answer of 4.64. This example introduces a larger whole number as the base value, demonstrating the scalability of the percent-to-decimal conversion method. |
Solving Percent Equations |
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Math Example--Percents--Equations with Percents: Example 3 | Math Example--Percents--Equations with Percents: Example 3TopicSolving Equations DescriptionThis math example focuses on solving percent equations, specifically asking "What is 8% of 58?" The solution involves converting 8% to its decimal form, 0.08, and then multiplying it by 58 to arrive at the answer of 4.64. This example introduces a larger whole number as the base value, demonstrating the scalability of the percent-to-decimal conversion method. |
Solving Percent Equations |
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Math Example--Percents--Equations with Percents: Example 30 | Math Example--Percents--Equations with Percents: Example 30TopicSolving Equations DescriptionThis math example demonstrates solving percent equations by asking "333.5 is what percent of 500.25?" The solution involves setting up the equation 500.25 * (x / 100) = 333.5, then solving for x to get x = 333.5 * (100 / 500.25), which is approximately 66.67%. This example introduces a scenario where both numbers are decimals and the resulting percentage is less than 100%, showing how to handle more complex decimal calculations. |
Solving Percent Equations |
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Math Example--Percents--Equations with Percents: Example 30 | Math Example--Percents--Equations with Percents: Example 30TopicSolving Equations DescriptionThis math example demonstrates solving percent equations by asking "333.5 is what percent of 500.25?" The solution involves setting up the equation 500.25 * (x / 100) = 333.5, then solving for x to get x = 333.5 * (100 / 500.25), which is approximately 66.67%. This example introduces a scenario where both numbers are decimals and the resulting percentage is less than 100%, showing how to handle more complex decimal calculations. |
Solving Percent Equations |
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Math Example--Percents--Equations with Percents: Example 30 | Math Example--Percents--Equations with Percents: Example 30TopicSolving Equations DescriptionThis math example demonstrates solving percent equations by asking "333.5 is what percent of 500.25?" The solution involves setting up the equation 500.25 * (x / 100) = 333.5, then solving for x to get x = 333.5 * (100 / 500.25), which is approximately 66.67%. This example introduces a scenario where both numbers are decimals and the resulting percentage is less than 100%, showing how to handle more complex decimal calculations. |
Solving Percent Equations |
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Math Example--Percents--Equations with Percents: Example 30 | Math Example--Percents--Equations with Percents: Example 30TopicSolving Equations DescriptionThis math example demonstrates solving percent equations by asking "333.5 is what percent of 500.25?" The solution involves setting up the equation 500.25 * (x / 100) = 333.5, then solving for x to get x = 333.5 * (100 / 500.25), which is approximately 66.67%. This example introduces a scenario where both numbers are decimals and the resulting percentage is less than 100%, showing how to handle more complex decimal calculations. |
Solving Percent Equations |
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Math Example--Percents--Equations with Percents: Example 30 | Math Example--Percents--Equations with Percents: Example 30TopicSolving Equations DescriptionThis math example demonstrates solving percent equations by asking "333.5 is what percent of 500.25?" The solution involves setting up the equation 500.25 * (x / 100) = 333.5, then solving for x to get x = 333.5 * (100 / 500.25), which is approximately 66.67%. This example introduces a scenario where both numbers are decimals and the resulting percentage is less than 100%, showing how to handle more complex decimal calculations. |
Solving Percent Equations |
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Math Example--Percents--Equations with Percents: Example 31 | Math Example--Percents--Equations with Percents: Example 31TopicSolving Equations DescriptionThis math example focuses on solving percent equations by asking "4 is 0.1% of what number?" The solution involves setting up the equation 4 = 0.001 * x, then solving for x to get x = 4 / 0.001, which equals 4000. This example demonstrates how to calculate the whole when given a very small percentage of it, resulting in a much larger number. |
Solving Percent Equations |
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Math Example--Percents--Equations with Percents: Example 31 | Math Example--Percents--Equations with Percents: Example 31TopicSolving Equations DescriptionThis math example focuses on solving percent equations by asking "4 is 0.1% of what number?" The solution involves setting up the equation 4 = 0.001 * x, then solving for x to get x = 4 / 0.001, which equals 4000. This example demonstrates how to calculate the whole when given a very small percentage of it, resulting in a much larger number. |
Solving Percent Equations |
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Math Example--Percents--Equations with Percents: Example 31 | Math Example--Percents--Equations with Percents: Example 31TopicSolving Equations DescriptionThis math example focuses on solving percent equations by asking "4 is 0.1% of what number?" The solution involves setting up the equation 4 = 0.001 * x, then solving for x to get x = 4 / 0.001, which equals 4000. This example demonstrates how to calculate the whole when given a very small percentage of it, resulting in a much larger number. |
Solving Percent Equations |
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Math Example--Percents--Equations with Percents: Example 31 | Math Example--Percents--Equations with Percents: Example 31TopicSolving Equations DescriptionThis math example focuses on solving percent equations by asking "4 is 0.1% of what number?" The solution involves setting up the equation 4 = 0.001 * x, then solving for x to get x = 4 / 0.001, which equals 4000. This example demonstrates how to calculate the whole when given a very small percentage of it, resulting in a much larger number. |
Solving Percent Equations |
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Math Example--Percents--Equations with Percents: Example 31 | Math Example--Percents--Equations with Percents: Example 31TopicSolving Equations DescriptionThis math example focuses on solving percent equations by asking "4 is 0.1% of what number?" The solution involves setting up the equation 4 = 0.001 * x, then solving for x to get x = 4 / 0.001, which equals 4000. This example demonstrates how to calculate the whole when given a very small percentage of it, resulting in a much larger number. |
Solving Percent Equations |
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Math Example--Percents--Equations with Percents: Example 32 | Math Example--Percents--Equations with Percents: Example 32TopicSolving Equations DescriptionThis math example demonstrates solving percent equations by asking "7 is 1% of what number?" The solution involves setting up the equation 7 = 0.01 * x, then solving for x to get x = 7 / 0.01, which equals 700. This example introduces a scenario where we need to find the whole when given a small percentage of it, resulting in a number 100 times larger than the given value. |
Solving Percent Equations |
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Math Example--Percents--Equations with Percents: Example 32 | Math Example--Percents--Equations with Percents: Example 32TopicSolving Equations DescriptionThis math example demonstrates solving percent equations by asking "7 is 1% of what number?" The solution involves setting up the equation 7 = 0.01 * x, then solving for x to get x = 7 / 0.01, which equals 700. This example introduces a scenario where we need to find the whole when given a small percentage of it, resulting in a number 100 times larger than the given value. |
Solving Percent Equations |
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Math Example--Percents--Equations with Percents: Example 32 | Math Example--Percents--Equations with Percents: Example 32TopicSolving Equations DescriptionThis math example demonstrates solving percent equations by asking "7 is 1% of what number?" The solution involves setting up the equation 7 = 0.01 * x, then solving for x to get x = 7 / 0.01, which equals 700. This example introduces a scenario where we need to find the whole when given a small percentage of it, resulting in a number 100 times larger than the given value. |
Solving Percent Equations |
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Math Example--Percents--Equations with Percents: Example 32 | Math Example--Percents--Equations with Percents: Example 32TopicSolving Equations DescriptionThis math example demonstrates solving percent equations by asking "7 is 1% of what number?" The solution involves setting up the equation 7 = 0.01 * x, then solving for x to get x = 7 / 0.01, which equals 700. This example introduces a scenario where we need to find the whole when given a small percentage of it, resulting in a number 100 times larger than the given value. |
Solving Percent Equations |
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Math Example--Percents--Equations with Percents: Example 32 | Math Example--Percents--Equations with Percents: Example 32TopicSolving Equations DescriptionThis math example demonstrates solving percent equations by asking "7 is 1% of what number?" The solution involves setting up the equation 7 = 0.01 * x, then solving for x to get x = 7 / 0.01, which equals 700. This example introduces a scenario where we need to find the whole when given a small percentage of it, resulting in a number 100 times larger than the given value. |
Solving Percent Equations |
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Math Example--Percents--Equations with Percents: Example 33 | Math Example--Percents--Equations with Percents: Example 33TopicSolving Equations DescriptionThis math example focuses on solving percent equations by asking "9 is 30% of what number?" The solution involves setting up the equation 9 = 0.3 * x, then solving for x to get x = 9 / 0.3, which equals 30. This example demonstrates how to calculate the whole when given a larger percentage of it, resulting in a number that is only slightly larger than the given value. |
Solving Percent Equations |
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Math Example--Percents--Equations with Percents: Example 33 | Math Example--Percents--Equations with Percents: Example 33TopicSolving Equations DescriptionThis math example focuses on solving percent equations by asking "9 is 30% of what number?" The solution involves setting up the equation 9 = 0.3 * x, then solving for x to get x = 9 / 0.3, which equals 30. This example demonstrates how to calculate the whole when given a larger percentage of it, resulting in a number that is only slightly larger than the given value. |
Solving Percent Equations |
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Math Example--Percents--Equations with Percents: Example 33 | Math Example--Percents--Equations with Percents: Example 33TopicSolving Equations DescriptionThis math example focuses on solving percent equations by asking "9 is 30% of what number?" The solution involves setting up the equation 9 = 0.3 * x, then solving for x to get x = 9 / 0.3, which equals 30. This example demonstrates how to calculate the whole when given a larger percentage of it, resulting in a number that is only slightly larger than the given value. |
Solving Percent Equations |
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Math Example--Percents--Equations with Percents: Example 33 | Math Example--Percents--Equations with Percents: Example 33TopicSolving Equations DescriptionThis math example focuses on solving percent equations by asking "9 is 30% of what number?" The solution involves setting up the equation 9 = 0.3 * x, then solving for x to get x = 9 / 0.3, which equals 30. This example demonstrates how to calculate the whole when given a larger percentage of it, resulting in a number that is only slightly larger than the given value. |
Solving Percent Equations |
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Math Example--Percents--Equations with Percents: Example 33 | Math Example--Percents--Equations with Percents: Example 33TopicSolving Equations DescriptionThis math example focuses on solving percent equations by asking "9 is 30% of what number?" The solution involves setting up the equation 9 = 0.3 * x, then solving for x to get x = 9 / 0.3, which equals 30. This example demonstrates how to calculate the whole when given a larger percentage of it, resulting in a number that is only slightly larger than the given value. |
Solving Percent Equations |
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Math Example--Percents--Equations with Percents: Example 34 | Math Example--Percents--Equations with Percents: Example 34TopicSolving Equations DescriptionThis math example demonstrates solving percent equations by asking "1 is 400% of what number?" The solution involves setting up the equation 1 = 4.0 * x, then solving for x to get x = 1 / 4, which equals 0.25. This example introduces a scenario where we need to find a number that, when increased by 400%, results in 1, leading to a fraction or decimal less than 1. |
Solving Percent Equations |
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Math Example--Percents--Equations with Percents: Example 34 | Math Example--Percents--Equations with Percents: Example 34TopicSolving Equations DescriptionThis math example demonstrates solving percent equations by asking "1 is 400% of what number?" The solution involves setting up the equation 1 = 4.0 * x, then solving for x to get x = 1 / 4, which equals 0.25. This example introduces a scenario where we need to find a number that, when increased by 400%, results in 1, leading to a fraction or decimal less than 1. |
Solving Percent Equations |
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Math Example--Percents--Equations with Percents: Example 34 | Math Example--Percents--Equations with Percents: Example 34TopicSolving Equations DescriptionThis math example demonstrates solving percent equations by asking "1 is 400% of what number?" The solution involves setting up the equation 1 = 4.0 * x, then solving for x to get x = 1 / 4, which equals 0.25. This example introduces a scenario where we need to find a number that, when increased by 400%, results in 1, leading to a fraction or decimal less than 1. |
Solving Percent Equations |
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Math Example--Percents--Equations with Percents: Example 34 | Math Example--Percents--Equations with Percents: Example 34TopicSolving Equations DescriptionThis math example demonstrates solving percent equations by asking "1 is 400% of what number?" The solution involves setting up the equation 1 = 4.0 * x, then solving for x to get x = 1 / 4, which equals 0.25. This example introduces a scenario where we need to find a number that, when increased by 400%, results in 1, leading to a fraction or decimal less than 1. |
Solving Percent Equations |
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Math Example--Percents--Equations with Percents: Example 34 | Math Example--Percents--Equations with Percents: Example 34TopicSolving Equations DescriptionThis math example demonstrates solving percent equations by asking "1 is 400% of what number?" The solution involves setting up the equation 1 = 4.0 * x, then solving for x to get x = 1 / 4, which equals 0.25. This example introduces a scenario where we need to find a number that, when increased by 400%, results in 1, leading to a fraction or decimal less than 1. |
Solving Percent Equations |
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Math Example--Percents--Equations with Percents: Example 35 | Math Example--Percents--Equations with Percents: Example 35TopicSolving Equations DescriptionThis math example demonstrates solving percent equations by asking "15 is 0.25% of what number?" The solution involves setting up the equation 15 = 0.0025 * x, then solving for x to get x = 15 / 0.0025, which equals 6000. This example introduces a scenario where we need to find the whole when given a very small percentage of it, resulting in a number that is significantly larger than the given value. |
Solving Percent Equations |
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Math Example--Percents--Equations with Percents: Example 35 | Math Example--Percents--Equations with Percents: Example 35TopicSolving Equations DescriptionThis math example demonstrates solving percent equations by asking "15 is 0.25% of what number?" The solution involves setting up the equation 15 = 0.0025 * x, then solving for x to get x = 15 / 0.0025, which equals 6000. This example introduces a scenario where we need to find the whole when given a very small percentage of it, resulting in a number that is significantly larger than the given value. |
Solving Percent Equations |
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Math Example--Percents--Equations with Percents: Example 35 | Math Example--Percents--Equations with Percents: Example 35TopicSolving Equations DescriptionThis math example demonstrates solving percent equations by asking "15 is 0.25% of what number?" The solution involves setting up the equation 15 = 0.0025 * x, then solving for x to get x = 15 / 0.0025, which equals 6000. This example introduces a scenario where we need to find the whole when given a very small percentage of it, resulting in a number that is significantly larger than the given value. |
Solving Percent Equations |
