Find each percentage of 75. Explain your reasoning.
What is 10 percent of 75?
What is 1 percent of 75?
What is 0.1 percent of 75?
What is 0.5 percent of 75?
The Correct Answer and Explanation is :
To solve these questions, we calculate percentages of 75 by converting the percentages into decimals and multiplying by 75. Here’s how:
Step-by-Step Solutions:
- What is 10% of 75?
- Calculation: ( 10\% = 0.1 ). Multiply ( 75 \times 0.1 = 7.5 ).
- Answer: 10% of 75 is 7.5.
- What is 1% of 75?
- Calculation: ( 1\% = 0.01 ). Multiply ( 75 \times 0.01 = 0.75 ).
- Answer: 1% of 75 is 0.75.
- What is 0.1% of 75?
- Calculation: ( 0.1\% = 0.001 ). Multiply ( 75 \times 0.001 = 0.075 ).
- Answer: 0.1% of 75 is 0.075.
- What is 0.5% of 75?
- Calculation: ( 0.5\% = 0.005 ). Multiply ( 75 \times 0.005 = 0.375 ).
- Answer: 0.5% of 75 is 0.375.
Explanation:
Percentages represent a fraction of 100. For example, 10% means “10 out of 100,” so to find 10% of a number, divide by 100 and multiply by 10. This simplifies to multiplying the number by ( 0.1 ). Similarly:
- 1% is 1 out of 100, or ( 0.01 ).
- 0.1% is 0.1 out of 100, or ( 0.001 ).
- 0.5% is 0.5 out of 100, or ( 0.005 ).
When finding these percentages for 75:
- Multiply ( 75 ) by the decimal equivalent of the percentage.
- The results decrease as the percentage gets smaller.
These calculations are useful in contexts like discounts, tips, or determining data proportions in studies. This method ensures accuracy in determining specific portions of a total value.