Calculate 25% of 160: Percentage Equation Breakdown

Q: Why do I divide by 100 to convert percentages?

Percent means 'per hundred' - so 25% literally means 25 out of 100, which equals $ \frac{25}{100} = 0.25 $.

Q: Can I use fractions instead of decimals?

Absolutely! You can write 25% as $ \frac{25}{100} = \frac{1}{4} $, then calculate $ \frac{1}{4} \times 160 = 40 $. Both methods give the same answer!

Q: How can I check if my percentage calculation is reasonable?

Use mental math tricks! Since 25% = $ \frac{1}{4} $, ask yourself: 'What's one-fourth of 160?' If you know $ 160 \div 4 = 40 $, then 25% of 160 must be 40.

Q: What's the fastest way to find 25% of any number?

Since 25% = $ \frac{1}{4} $, just divide the number by 4! This is often faster than multiplying by 0.25, especially for numbers that divide evenly by 4.

Percentage Calculations with Decimal Conversion

Calculate 25% of 160:

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:03 Let's find 25 percent of 160.

00:07 First, convert 25 percent into a fraction.

00:17 Remember, 25 percent is the same as one-fourth.

00:22 Now, multiply this fraction by 160.

00:31 Break it down into factors to simplify.

00:39 And there you have it, that's the solution!

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

Calculate 25% of 160:

Step-by-step solution

To solve the problem of finding 25% of 160, we can use the following steps:

Step 1: Convert 25% into a decimal. This is done by dividing 25 by 100, which gives $0.25$ .
Step 2: Multiply the decimal by the total number. Hence, calculate $0.25 \times 160$ .

Calculation:
$0.25 \times 160 = 40$
Thus, 25% of 160 is $\mathbf{40}$ .

Therefore, the correct answer, corresponding to the choices provided, is $\mathbf{40}$ , which is choice 2.

Final Answer

Key Points to Remember

Essential concepts to master this topic

Rule: Convert percentages to decimals by dividing by 100
Technique: Calculate $25\% = 0.25 \times 160 = 40$
Check: Verify that 40 is one-quarter of 160: $40 \times 4 = 160$ ✓

Common Mistakes

Avoid these frequent errors

Multiplying by the percentage directly without converting
Don't calculate 25 × 160 = 4000! This gives a result that's way too large because you forgot to convert 25% to 0.25 first. Always divide the percentage by 100 before multiplying.

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 percentages?

Percent means 'per hundred' - so 25% literally means 25 out of 100, which equals $\frac{25}{100} = 0.25$ .

Can I use fractions instead of decimals?

Absolutely! You can write 25% as $\frac{25}{100} = \frac{1}{4}$ , then calculate $\frac{1}{4} \times 160 = 40$ . Both methods give the same answer!

What if I get a decimal answer?

That's perfectly normal! Many percentage calculations result in decimals. For example, 33% of 100 would be 33.0, and 25% of 163 would be 40.75.

How can I check if my percentage calculation is reasonable?

Use mental math tricks! Since 25% = $\frac{1}{4}$ , ask yourself: 'What's one-fourth of 160?' If you know $160 \div 4 = 40$ , then 25% of 160 must be 40.

What's the fastest way to find 25% of any number?

Since 25% = $\frac{1}{4}$ , just divide the number by 4! This is often faster than multiplying by 0.25, especially for numbers that divide evenly by 4.

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