Calculate 8% of 150: Basic Percentage Problem

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

The word percent literally means 'per hundred.' So 8% means 8 out of 100, which equals $ \frac{8}{100} = 0.08 $ as a decimal.

Q: Can I calculate percentages without converting to decimal?

Yes! You can use the fraction method: $ \frac{8}{100} \times 150 = \frac{8 \times 150}{100} = \frac{1200}{100} = 12 $. Both methods give the same answer.

Q: How do I know if my percentage answer makes sense?

Use estimation! 8% is close to 10%, and 10% of 150 is 15. So 8% should be slightly less than 15. Since 12

Q: What's the fastest way to calculate 8% of any number?

Memorize that 8% = 0.08, then just multiply! For mental math, you can also think: 8% = 10% - 2%, so find 10% first, then subtract 2%.

Q: Do I always get a whole number when calculating percentages?

No! Many percentage calculations result in decimals. For example, 7% of 150 would be $ 0.07 \times 150 = 10.5 $.

Percentage Calculations with Decimal Conversion

Calculate 8% of 150:

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Understand the problem

Calculate 8% of 150:

Step-by-step solution

To calculate 8% of 150, use the following steps:

Convert the percentage to a decimal by dividing by 100: $8\% = 0.08$ .
Multiply the decimal by the whole number: $0.08 \times 150$
Calculate the result: $0.08 \times 150 = 12$
Therefore, 8% of 150 is 12.

Final Answer

Key Points to Remember

Essential concepts to master this topic

Rule: Convert percentage to decimal by dividing by 100
Technique: Multiply decimal form: $0.08 \times 150 = 12$
Check: Does 12 make sense as 8% of 150? Yes, it's less than 10% ✓

Common Mistakes

Avoid these frequent errors

Forgetting to convert percentage to decimal
Don't multiply 8 × 150 = 1200! This treats 8% as 8 whole units instead of 8 hundredths. Always convert the percentage to decimal form 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 percentage to decimal?

The word percent literally means 'per hundred.' So 8% means 8 out of 100, which equals $\frac{8}{100} = 0.08$ as a decimal.

Can I calculate percentages without converting to decimal?

Yes! You can use the fraction method: $\frac{8}{100} \times 150 = \frac{8 \times 150}{100} = \frac{1200}{100} = 12$ . Both methods give the same answer.

How do I know if my percentage answer makes sense?

Use estimation! 8% is close to 10%, and 10% of 150 is 15. So 8% should be slightly less than 15. Since 12 < 15, our answer makes sense!

What's the fastest way to calculate 8% of any number?

Memorize that 8% = 0.08, then just multiply! For mental math, you can also think: 8% = 10% - 2%, so find 10% first, then subtract 2%.

Do I always get a whole number when calculating percentages?

No! Many percentage calculations result in decimals. For example, 7% of 150 would be $0.07 \times 150 = 10.5$ .

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