Which expression shows a way to find 20% of 950?
950
20
20
What is it
The Correct Answer and Explanation is:
To find 20% of 950, you can express this calculation as:
[
20\% \times 950 = 0.20 \times 950
]
Here’s how to approach it:
Step 1: Understand Percentage as a Decimal
Percentages are a way to express parts of 100. The percentage 20% can be written as a decimal by dividing it by 100:
[
\frac{20}{100} = 0.20
]
Step 2: Multiply the Decimal by the Number
Now that we have 20% expressed as a decimal (0.20), the next step is to multiply it by 950 to find 20% of 950:
[
0.20 \times 950 = 190
]
Final Answer:
So, 20% of 950 is 190.
Detailed Explanation:
The concept of percentages is used in everyday life to understand portions of a whole. In this case, 20% means 20 out of every 100 parts of 950. To calculate it, converting the percentage to a decimal (by dividing the percentage by 100) allows us to easily multiply and find the value. Multiplication is the operation that shows how much of the 950 corresponds to 20%.
An alternative way to look at this is breaking down the number into smaller steps. You could first find 10% of 950 (which is 95) and then double that to find 20%:
[
10\% \text{ of } 950 = 95
]
[
20\% \text{ of } 950 = 95 \times 2 = 190
]
Both methods will give you the same result: 190.
This process applies to any percentage calculation, making it a useful tool for various financial, scientific, and everyday calculations. Understanding percentages is essential for interpreting discounts, interest rates, and proportion-based problems.