Calculate 1% of 30: A Basic Arithmetic Task

Q: Why isn't 1% of 30 equal to 3?

Because percent means 'per hundred'! So 1% = $\frac{1}{100}$, not just 1. When you calculate $\frac{1}{100} \times 30$, you get 0.3, not 3.

Q: How do I remember to convert percentages correctly?

Think of the % symbol as $\frac{1}{100}$! So 1% becomes $1 \times \frac{1}{100} = \frac{1}{100}$. This helps you avoid mixing up the percentage with whole numbers.

Q: Can I use decimals instead of fractions?

Absolutely! 1% = 0.01 as a decimal. So you can calculate 0.01 × 30 = 0.3. Both methods give the same answer.

Q: What's the difference between 1% and 10%?

1% = $\frac{1}{100} = 0.01$, while 10% = $\frac{10}{100} = 0.1$. So 10% of 30 would be 3.0, which is ten times larger than 1% of 30!

Q: Why is my calculator showing 0.3 and not 3?

Your calculator is correct! Remember that percentages are much smaller than whole numbers. 1% means 'one part out of 100 parts', so it should give you a small result like 0.3.

Percentage Calculations with Basic Fractions

Calculate 1% of 30:

❤️ 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 1% of 30

00:05 Apply the formula to convert percentages to fractions

00:11 This fraction is equal to 1%

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

00:22 Proceed to break it down into factors and simplify wherever possible

00:31 This is the solution

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

Calculate 1% of 30:

Step-by-step solution

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

Convert the given percentage to a fraction.
Multiply this fraction by the whole number.

Let's work through the solution:

Step 1: Convert 1% into a fraction:

The fraction for 1% is $\frac{1}{100}$ .

Step 2: Multiply the fraction by the whole number:

$\frac{1}{100} \times 30 = 0.3$

Therefore, the value of 1% of 30 is $\boxed{0.3}$ .

Among the provided options, the correct choice corresponding to 1% of 30 is $0.3$ , which matches Choice 3.

Final Answer

0.3

Key Points to Remember

Essential concepts to master this topic

Rule: Convert percentages to fractions by dividing by 100
Technique: Calculate $\frac{1}{100} \times 30 = 0.3$
Check: Verify that 0.3 × 100 = 30, confirming our calculation ✓

Common Mistakes

Avoid these frequent errors

Confusing percentage with the actual value
Don't think 1% of 30 equals 3 because you see the number 1 and 30 = wrong answer! This ignores what 'percent' means (per hundred). Always convert the percentage to a decimal or fraction first.

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 isn't 1% of 30 equal to 3?

Because percent means 'per hundred'! So 1% = $\frac{1}{100}$ , not just 1. When you calculate $\frac{1}{100} \times 30$ , you get 0.3, not 3.

How do I remember to convert percentages correctly?

Think of the % symbol as $\frac{1}{100}$ ! So 1% becomes $1 \times \frac{1}{100} = \frac{1}{100}$ . This helps you avoid mixing up the percentage with whole numbers.

Can I use decimals instead of fractions?

Absolutely! 1% = 0.01 as a decimal. So you can calculate 0.01 × 30 = 0.3. Both methods give the same answer.

What's the difference between 1% and 10%?

1% = $\frac{1}{100} = 0.01$ , while 10% = $\frac{10}{100} = 0.1$ . So 10% of 30 would be 3.0, which is ten times larger than 1% of 30!

Why is my calculator showing 0.3 and not 3?

Your calculator is correct! Remember that percentages are much smaller than whole numbers. 1% means 'one part out of 100 parts', so it should give you a small result like 0.3.

🌟 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