Compute 4% of 70: A Step-by-Step Calculation

Percentage Calculations with Decimal Conversions

Calculate 4% of 70:

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Calculate 4% of 70
00:03 Apply the formula to convert percentages to fractions
00:09 This fraction is equal to 4%
00:18 Multiply the fraction by the number itself in order to determine the percentage
00:24 Proceed to factor and reduce wherever possible
00:37 This is the solution

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Calculate 4% of 70:

2

Step-by-step solution

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

  • Step 1: Identify the given information.
  • Step 2: Apply the percentage formula.
  • Step 3: Perform the necessary calculations.

Let's work through these steps:

Step 1: Identify the given information.

We are given that we need to calculate 4% of 70.

Step 2: Apply the percentage formula.

The formula to find the percentage of a number is:
Percentage value=(Percentage100)×Whole number \text{Percentage value} = \left( \frac{\text{Percentage}}{100} \right) \times \text{Whole number}

Plugging in the values, we have:
4% of 70 = (4100)×70 \left( \frac{4}{100} \right) \times 70

Step 3: Perform the necessary calculations.

First, convert 4% to a decimal: 4100=0.04 \frac{4}{100} = 0.04 .
Then multiply by the whole number:
0.04×70=2.8 0.04 \times 70 = 2.8

Therefore, the solution to the problem is 2.8 2.8 .

3

Final Answer

2.8

Key Points to Remember

Essential concepts to master this topic
  • Formula: Convert percentage to decimal by dividing by 100
  • Technique: Calculate 0.04×70=2.8 0.04 \times 70 = 2.8
  • Check: Verify 2.870×100=4% \frac{2.8}{70} \times 100 = 4\%

Common Mistakes

Avoid these frequent errors
  • Forgetting to convert percentage to decimal
    Don't calculate 4 × 70 = 280! This treats 4% as 4, giving an answer that's 100 times too large. Always convert the percentage to a decimal first by dividing by 100.

Practice Quiz

Test your knowledge with interactive questions

Calculate 15% of 100:

FAQ

Everything you need to know about this question

Why do I divide by 100 to convert a percentage?

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Because percent means "per hundred"! When you write 4%, you're saying "4 out of every 100." Dividing by 100 converts this to the decimal 0.04.

Can I multiply 4 × 70 and then divide by 100?

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Yes! This gives the same answer: 4×70100=280100=2.8 \frac{4 \times 70}{100} = \frac{280}{100} = 2.8 . Both methods work perfectly!

How do I know if 2.8 is reasonable for 4% of 70?

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Think about benchmarks! 10% of 70 would be 7, so 4% should be less than half of that. Since 2.8 < 3.5, our answer makes sense.

What if the percentage is bigger than the original number?

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That's totally normal! For example, 200% of 5 equals 10. When the percentage is over 100%, your answer will be larger than the original number.

Do I need to round my final answer?

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Only if the problem asks for it! Since 0.04×70=2.8 0.04 \times 70 = 2.8 exactly, no rounding is needed here. Always give the exact answer when possible.

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