To find the percent decrease from from 1000 to 11, we need to determine the difference between the two numbers and express it as a percentage of the original value.

 

Step 1: Find the difference between the two numbers.

Subtract the final value (11) from the initial value (1000) to find the decrease:

1000 - 11 = 989

 

Step 2: Determine the percentage decrease.

To express this decrease as a percentage, we need to divide the difference (989) by the original value (1000) and then multiply by 100 to get the percentage:

(989 / 1000) * 100 = 98.9

 

Step 3: Interpret the result.

The percentage decrease is 98.9%. This means that the final value (11) is 98.9% less than the initial value (1000).

 

In summary, the percent decrease from 1000 to 11 is 98.9%. This indicates that the final value is 98.9% smaller than the original value.

 

Understanding percent decrease is important because it helps us analyze changes in quantities where there is a reduction. It allows us to measure how much a quantity has decreased relative to its original value.

 

Let’s look at some more examples to understand the concept of decrease in percentage better:

 

Problem 1: The original value of a car was $20,000, but it depreciated to $15,000 over time. What was the percent decrease in the car's value?

 

Solution: 

Step 1: Find the difference between the two values: $20,000 - $15,000 = $5,000. 

Step 2: Determine the percentage decrease: ($5,000 / $20,000) * 100 = 25%. 

Answer: The car's value decreased by 25%.

 

Problem 2: The temperature in a city dropped from 80 degrees Fahrenheit to 60 degrees Fahrenheit. What was the percent decrease in temperature?

 

Solution: 

Step 1: Find the difference between the two temperatures: 80°F - 60°F = 20°F. 

Step 2: Determine the percentage decrease: (20°F / 80°F) * 100 = 25%. 

Answer: The temperature decreased by 25%.

 

Problem 3: A company's profits decreased from $1,000,000 to $800,000. What was the percent decrease in profits?

 

Solution: 

Step 1: Find the difference between the two profit amounts: $1,000,000 - $800,000 = $200,000. Step 2: Determine the percentage decrease: ($200,000 / $1,000,000) * 100 = 20%. 

Answer: The profits decreased by 20%.

 

Problem 4: The number of employees in a company decreased from 100 to 75. What was the percent decrease in the employee count?

 

Solution: 

Step 1: Find the difference between the two employee counts: 100 - 75 = 25. 

Step 2: Determine the percentage decrease: (25 / 100) * 100 = 25%. 

Answer: The employee count decreased by 25%.

 

Problem 5: The weight of a package decreased from 50 kg to 40 kg. What was the percent decrease in weight?

 

Solution: Step 1: Find the difference between the two weights: 50 kg - 40 kg = 10 kg.

 Step 2: Determine the percentage decrease: (10 kg / 50 kg) * 100 = 20%. 

Answer: The weight decreased by 20%.

 

These examples highlight different scenarios where percent decrease is used to measure reductions or decreases. 

 

Remember to calculate the difference between the initial and final values, divide it by the original value, and multiply by 100 to express it as a percentage decrease.