Calculate 10% of 80: Percentage Equation Solved

Percentage Calculations with Decimal Conversion

Calculate 10% of 80:

❤️ Continue Your Math Journey!

We have hundreds of course questions with personalized recommendations + Account 100% premium

Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Calculate 10% of 80
00:03 Apply the formula to convert percentages to fractions
00:08 This fraction is equal to 10%
00:15 Multiply the fraction by the number itself in order to determine the percentage
00:23 Break down into 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 80:

2

Step-by-step solution

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

  • Step 1: Convert the percentage to a decimal form.
  • Step 2: Multiply the decimal by the given number to find 10% of the number.
  • Step 3: Identify the result from the calculation.

Let's go through each step:
Step 1: Convert the percentage to a decimal. Since we are given 10%, we convert it to 0.10. This is done by dividing the percentage by 100: 10100=0.10 \frac{10}{100} = 0.10 .
Step 2: Multiply the decimal by the whole number, 80:
0.10×80=8 0.10 \times 80 = 8 .
Step 3: Therefore, 10% of 80 is 8.

The correct multiple-choice answer is option 1, which is 8.

3

Final Answer

8

Key Points to Remember

Essential concepts to master this topic
  • Rule: Convert percentages to decimals by dividing by 100
  • Technique: Multiply decimal form by the number: 0.10 × 80 = 8
  • Check: Does 8 equal one-tenth of 80? 8 × 10 = 80 ✓

Common Mistakes

Avoid these frequent errors
  • Multiplying by the percentage number directly
    Don't multiply 80 × 10 = 800! This skips the crucial conversion step and gives a result 100 times too large. Always convert the percentage to decimal form first: 10% becomes 0.10, 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 to convert percentages?

+

Percent means 'per hundred' - so 10% literally means 10 out of 100, which equals 10100=0.10 \frac{10}{100} = 0.10 . This conversion step is essential for calculations!

Is there a faster way to find 10% of any number?

+

Yes! Since 10% = 0.10, you can simply move the decimal point one place to the left. For 80, move the decimal: 80.0 becomes 8.0, so 10% of 80 is 8.

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

+

Same process! Convert 25% to decimal: 25100=0.25 \frac{25}{100} = 0.25 , then multiply. For 25% of 80: 0.25 × 80 = 20.

How can I check if my percentage calculation is reasonable?

+

Use mental estimation! 10% should be much smaller than the original number. Since 10% of 80 = 8, this makes sense because 8 is indeed much less than 80.

Why can't I just use the percentage key on my calculator?

+

You can, but understanding the conversion helps you solve problems without a calculator and catch mistakes. Plus, some calculators work differently with percentage keys!

🌟 Unlock Your Math Potential

Get unlimited access to all 18 Percentage questions, detailed video solutions, and personalized progress tracking.

📹

Unlimited Video Solutions

Step-by-step explanations for every problem

📊

Progress Analytics

Track your mastery across all topics

🚫

Ad-Free Learning

Focus on math without distractions

No credit card required • Cancel anytime

More Questions

Click on any question to see the complete solution with step-by-step explanations