Solution: Step 1: Express the given problem using a mathematical formula: 40 times 75 Step 2: Transform the percentage into a decimal for easier computation: 0.4 times 75 Step 3: Calculate the product of the decimal and the number: 0.4 times 75 = 30 Knowledge Notes: To solve a problem involving finding a percentage of a number, one can follow these steps: 1. Understanding Percentages: A percentage is a way of expressing a number as a fraction of 100. The symbol for percent is "". To convert a percentage to a decimal, divide by 100. 2. Conversion to Decimal: To work with percentages in calculations, it's often easier to convert them to decimals. This is done by dividing the percentage by 100 or simply moving the decimal point two places to the left. For example, 40 becomes 0.4. 3. Multiplication: After converting the percentage to a decimal, multiply it by the number to find the desired part of the whole. In this case, multiplying 0.4 (the decimal form of 40) by 75 gives the result. 4. Mathematical Expression: Writing the problem as a mathematical expression helps to visualize the steps needed to solve the problem. It also ensures that the correct mathematical operations are applied. 5. Final Calculation: The final step is to perform the actual multiplication to obtain the result. By understanding these concepts and following these steps, one can easily calculate percentages of any given number.

Evaluate 40% of 75

The question is asking you to calculate what 40 percent of the number 75 is. This involves understanding the concept of a percentage, which is a way to express a number as a fraction of 100, and then applying this understanding to determine the portion that 40 percent represents of the total quantity, which in this case is 75.

$40 \%$of$75$

Answer

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Solution:

Step 1:

Express the given problem using a mathematical formula: $40\% \times 75$

Step 2:

Transform the percentage into a decimal for easier computation: $0.4 \times 75$

Step 3:

Calculate the product of the decimal and the number: $0.4 \times 75 = 30$

Knowledge Notes:

To solve a problem involving finding a percentage of a number, one can follow these steps:

Understanding Percentages: A percentage is a way of expressing a number as a fraction of 100. The symbol for percent is "%". To convert a percentage to a decimal, divide by 100.
Conversion to Decimal: To work with percentages in calculations, it's often easier to convert them to decimals. This is done by dividing the percentage by 100 or simply moving the decimal point two places to the left. For example, $40\%$ becomes $0.4$.
Multiplication: After converting the percentage to a decimal, multiply it by the number to find the desired part of the whole. In this case, multiplying $0.4$ (the decimal form of $40\%$) by $75$ gives the result.
Mathematical Expression: Writing the problem as a mathematical expression helps to visualize the steps needed to solve the problem. It also ensures that the correct mathematical operations are applied.
Final Calculation: The final step is to perform the actual multiplication to obtain the result.

By understanding these concepts and following these steps, one can easily calculate percentages of any given number.