What number is 5% of 46?
Understand the Problem
The question is asking us to find what number corresponds to 5% of 46. This can be approached by determining 5% as a fraction and then calculating its value in relation to 46.
Answer
$2.3$
Answer for screen readers
The number that is 5% of 46 is $2.3$.
Steps to Solve
- Convert the percentage to a decimal
To find 5% of 46, we first convert the percentage into a decimal. This is done by dividing the percentage by 100: $$ 5% = \frac{5}{100} = 0.05 $$
- Multiply the decimal by the number
Next, we multiply the decimal by the number (46) to find the value corresponding to 5%: $$ 0.05 \times 46 $$
- Calculate the multiplication
Now, we perform the multiplication: $$ 0.05 \times 46 = 2.3 $$
The number that is 5% of 46 is $2.3$.
More Information
5% is a common percentage used in various contexts, such as discounts and interest rates. Understanding how to calculate percentages is fundamental in mathematics, finance, and everyday problem-solving.
Tips
- Not converting percentage to decimal: A common mistake is to forget to convert the percentage into a decimal before performing calculations. Always remember to divide by 100.
- Arithmetic errors: Be careful with multiplication; double-check to avoid simple calculation mistakes.
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