What is 70% of 210? Explain your answer.
The Correct Answer and Explanation is :
To find 70% of 210, you can follow these steps:
- Convert the Percentage to a Decimal:
Percentages are parts per hundred. Therefore, to convert 70% to a decimal, divide by 100:
[
70\% = \frac{70}{100} = 0.70
] - Multiply the Decimal by the Total Amount:
Next, multiply the decimal by the total amount (210 in this case):
[
0.70 \times 210 = 147
]
Thus, 70% of 210 is 147.
Explanation:
Understanding percentages is essential in various fields, including finance, statistics, and everyday decision-making. A percentage represents a portion of a whole, expressed as a fraction of 100. In this case, 70% indicates that we are looking for 70 parts out of every 100 parts of the number 210.
To calculate a percentage, we first convert the percentage into a decimal form. This conversion simplifies multiplication, as decimals are easier to work with in arithmetic operations. By taking 70% and converting it to 0.70, we are essentially stating that we want to find 70 parts of the number 210.
Next, we perform the multiplication. This step is crucial because it determines how much of the total value (210) corresponds to the desired percentage (70%). The operation 0.70 × 210 directly gives us the amount that represents 70% of 210.
In practical terms, knowing how to calculate percentages can aid in budgeting, sales analysis, and various aspects of daily life, such as calculating discounts while shopping. For instance, if a product costs $210 and is on sale for 70% of the original price, knowing how to quickly calculate the sale price (which would be $147) can help in making informed purchasing decisions.
Overall, calculating percentages involves simple arithmetic but plays a significant role in understanding relative sizes and values in various contexts.