Calculate 7% of 70: A Basic Arithmetic Task

Q: Why do I divide by 100 to convert a percentage?

Because percent means "per hundred"! When you see 7%, it literally means 7 out of 100, or $ \frac{7}{100} $, which equals 0.07 as a decimal.

Q: Is there a shortcut for calculating percentages?

Yes! For simple percentages, you can sometimes use mental math. For example, 10% of any number is just that number with the decimal moved one place left. But the decimal conversion method always works!

Q: What if I get a different decimal answer?

Double-check your multiplication! Remember: $ 0.07 \times 70 $. You can think of it as 7 × 7 = 49, then place the decimal to get 4.9.

Q: How do I know where to put the decimal point?

Count the decimal places! 0.07 has 2 decimal places, and 70 has 0. So your answer should have 2 decimal places: 4.90 or simply 4.9.

Q: Can I check my answer a different way?

Method 1: $ \frac{4.9}{70} = 0.07 = 7\% $Method 2: Does 4.9 seem reasonable? 7% is small, so the answer should be much less than 70 ✓

Percentage Calculations with Decimal Conversion

Calculate 7% of 70:

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:03 Let's calculate 7 percent of 70.

00:07 First, we'll change 7 percent to a fraction.

00:11 Seven percent as a fraction is 7 over 100.

00:18 Now, multiply 7 over 100 by 70.

00:26 Let's simplify by breaking down and reducing.

00:40 And that's our solution! You've got it!

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

Calculate 7% of 70:

Step-by-step solution

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

Step 1: Convert the percentage to a decimal by dividing by 100.
Step 2: Multiply the decimal by the whole number.

Now, let's work through each step:
Step 1: Convert $7\%$ to a decimal. $\frac{7}{100} = 0.07$ .
Step 2: Multiply 0.07 by 70: $0.07 \times 70 = 4.9$ .

Therefore, the solution to the problem is $4.9$ , which matches choice 1.

Final Answer

4.9

Key Points to Remember

Essential concepts to master this topic

Rule: Convert percentage to decimal by dividing by 100
Technique: Multiply decimal by whole number: $0.07 \times 70 = 4.9$
Check: Verify that 4.9 is 7% of 70 by dividing: $\frac{4.9}{70} = 0.07 = 7\%$ ✓

Common Mistakes

Avoid these frequent errors

Forgetting to convert percentage to decimal
Don't multiply 7 × 70 = 490 thinking that's your answer! This gives you 700% of 70, not 7%. Always convert the percentage to decimal first by dividing by 100: 7% = 0.07.

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 a percentage?

Because percent means "per hundred"! When you see 7%, it literally means 7 out of 100, or $\frac{7}{100}$ , which equals 0.07 as a decimal.

Is there a shortcut for calculating percentages?

Yes! For simple percentages, you can sometimes use mental math. For example, 10% of any number is just that number with the decimal moved one place left. But the decimal conversion method always works!

What if I get a different decimal answer?

Double-check your multiplication! Remember: $0.07 \times 70$ . You can think of it as 7 × 7 = 49, then place the decimal to get 4.9.

How do I know where to put the decimal point?

Count the decimal places! 0.07 has 2 decimal places, and 70 has 0. So your answer should have 2 decimal places: 4.90 or simply 4.9.

Can I check my answer a different way?

Method 1: $\frac{4.9}{70} = 0.07 = 7\%$
Method 2: Does 4.9 seem reasonable? 7% is small, so the answer should be much less than 70 ✓

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