Calculate 70% of 90: Direct Percentage Multiplication

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

Because percent means 'per hundred'! So 70% literally means $ \frac{70}{100} $ or 0.7. Dividing by 100 converts the percentage to its decimal form.

Q: Can I use the fraction method instead?

Absolutely! You can solve $ \frac{70}{100} \times 90 $ directly. This gives $ \frac{6300}{100} = 63 $, which is the same answer!

Q: How can I check if 63 is really 70% of 90?

Divide your answer by the original number: $ 63 ÷ 90 = 0.7 $. Convert back to percentage: 0.7 × 100 = 70% ✓

Q: Is there a faster way to calculate this?

Yes! You can think of it as 7 × 9 = 63 because 70% of 90 is the same as 7 × (10% of 90), and 10% of 90 is 9.

Percentage Calculations with Decimal Conversion

Calculate 70% of 90:

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:02 Let's calculate seventy percent of ninety.

00:06 First, use the formula to change a percentage into a fraction.

00:14 Remember, seventy percent is the same as seventy over one hundred.

00:19 Now, multiply this fraction by ninety to find seventy percent of it.

00:28 Try breaking it down to smaller factors and simplify.

00:42 And that's how you find the answer!

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

Calculate 70% of 90:

Step-by-step solution

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

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

Now, let's work through each step:
Step 1: Convert 70% to a decimal by dividing it by 100:
$\frac{70}{100} = 0.7$

Step 2: Multiply the decimal by the whole number 90:
$0.7 \times 90 = 63$

Therefore, the solution to the problem is $63$ .

Final Answer

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: 0.7 × 90 = 63
Check: Verify 63 ÷ 90 = 0.7 = 70% ✓

Common Mistakes

Avoid these frequent errors

Forgetting to convert percentage to decimal
Don't multiply 70 × 90 directly = 6300! This gives an answer 100 times too large because you're treating 70% as 70 instead of 0.7. Always convert the percentage to a decimal first by dividing by 100.

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'! So 70% literally means $\frac{70}{100}$ or 0.7. Dividing by 100 converts the percentage to its decimal form.

Can I use the fraction method instead?

Absolutely! You can solve $\frac{70}{100} \times 90$ directly. This gives $\frac{6300}{100} = 63$ , which is the same answer!

What if I get a decimal answer instead of a whole number?

That's completely normal! Many percentage problems result in decimal answers. Just make sure to round appropriately if the problem asks for it.

How can I check if 63 is really 70% of 90?

Divide your answer by the original number: $63 ÷ 90 = 0.7$ . Convert back to percentage: 0.7 × 100 = 70% ✓

Is there a faster way to calculate this?

Yes! You can think of it as 7 × 9 = 63 because 70% of 90 is the same as 7 × (10% of 90), and 10% of 90 is 9.

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