Calculate 10% of 60: A Simple Percentage Problem

Q: Why do I divide by 100 when converting percentages?

Percent means 'per hundred', so 10% literally means 10 out of 100. Dividing 10 by 100 gives you the decimal form: $ \frac{10}{100} = 0.1 $

Q: Can I use fractions instead of decimals?

Absolutely! You can write 10% as $ \frac{10}{100} $ and calculate $ \frac{10}{100} \times 60 = \frac{600}{100} = 6 $. Both methods give the same answer!

Q: How can I check if my percentage answer makes sense?

Ask yourself: Is my answer smaller than the original number? Since 10% is less than 100%, the result (6) should be less than 60. This helps catch big mistakes!

Q: What if I need to find a different percentage like 25%?

Use the same method! Convert 25% to decimal: $ 25 \div 100 = 0.25 $, then multiply by your number. The formula always works!

Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:00 Calculate 10% of 60

00:03 Apply the formula to convert percentages to fractions

00:10 This fraction is equal to 10%

00:16 Multiply this fraction by the number itself in order to determine the percentage

00:24 Break it down to factors and reduce wherever possible

00:30 This is the solution

Step-by-step written solution

Follow each step carefully to understand the complete solution

1

Understand the problem

Calculate 10% of 60:

2

Step-by-step solution

To solve this problem, we'll follow these steps:

Step 1: Identify the percentage rate and the whole number given.
Step 2: Use the formula for percentage calculation.
Step 3: Perform the calculation to find the solution.

Here's a detailed explanation of each step:
Step 1: We are asked to find 10% of 60. The percentage rate is 10%, and the whole number is 60.
Step 2: We use the formula: $\text{percentage value} = \frac{\text{percentage rate}}{100} \times \text{whole number}$ .
Step 3: We convert 10% to a decimal by calculating $\frac{10}{100} = 0.1$ . Then, multiply this value by 60: $0.1 \times 60 = 6$

Therefore, the solution to the problem is $\mathbf{6}$ .

3

Final Answer

6

Key Points to Remember

Essential concepts to master this topic

Formula: Percentage value = (rate ÷ 100) × whole number
Method: Convert 10% to 0.1, then multiply: 0.1 × 60 = 6
Check: 6 is 10% of 60 because 6 ÷ 60 = 0.1 = 10% ✓

Common Mistakes

Avoid these frequent errors

Multiplying by the percentage number directly
Don't multiply 60 × 10 = 600! This ignores the percent sign and gives a result 100 times too large. Always convert the percentage to decimal first by dividing by 100, then multiply.

Practice Quiz

Test your knowledge with interactive questions

Calculate 30 over 100 as a percentage:

FAQ

Everything you need to know about this question

Why do I divide by 100 when converting percentages?

+

Percent means 'per hundred', so 10% literally means 10 out of 100. Dividing 10 by 100 gives you the decimal form: $\frac{10}{100} = 0.1$

Can I use fractions instead of decimals?

+

Absolutely! You can write 10% as $\frac{10}{100}$ and calculate $\frac{10}{100} \times 60 = \frac{600}{100} = 6$ . Both methods give the same answer!

Is there a shortcut for calculating 10%?

+

Yes! Since 10% = 0.1, finding 10% of any number is the same as moving the decimal point one place left. So 10% of 60.0 becomes 6.0!

How can I check if my percentage answer makes sense?

+

Ask yourself: Is my answer smaller than the original number? Since 10% is less than 100%, the result (6) should be less than 60. This helps catch big mistakes!

What if I need to find a different percentage like 25%?

+

Use the same method! Convert 25% to decimal: $25 \div 100 = 0.25$ , then multiply by your number. The formula always works!

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