Calculate 4.4/10 as a Percentage: Decimal Division Problem

Q: Why do I divide 4.4 by 10 first?

When you have a fraction like $ \frac{4.4}{10} $, the division gives you the decimal equivalent. This decimal (0.44) is easier to convert to a percentage than working with the original fraction.

Q: Can I just move the decimal point instead of dividing?

Yes! Dividing by 10 is the same as moving the decimal point one place to the left. So 4.4 ÷ 10 = 0.44. This is a great shortcut!

Q: What if I get confused about multiplying by 100?

Remember: to convert any decimal to a percentage, multiply by 100. You can also move the decimal point two places to the right: 0.44 becomes 44%.

Q: How do I know 44% is reasonable?

Think about it: $ \frac{4.4}{10} $ is less than half (since 4.4

Q: What's the difference between 4.4% and 44%?

Huge difference! 4.4% means $ \frac{4.4}{100} = 0.044 $, while 44% means $ \frac{44}{100} = 0.44 $. Always double-check your decimal placement!

Decimal Division with Percentage Conversion

Calculate 4.4 over 10 as a percentage:

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:04 Let's find out what four point four is, as a percentage of ten.

00:09 First, we'll use the formula to calculate percentages.

00:14 Divide four point four by ten, then multiply the result by one hundred.

00:27 Try to break it down, and simplify wherever you can.

00:36 Great job! That's how we find the percentage.

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

Calculate 4.4 over 10 as a percentage:

Step-by-step solution

To solve this problem, we'll convert the fraction $\frac{4.4}{10}$ into a percentage by following these steps:

Step 1: Identify the given fraction $\frac{4.4}{10}$ .
Step 2: Convert this fraction into a decimal by performing the division $4.4 \div 10 = 0.44$ .
Step 3: Multiply the decimal by 100 to convert it into a percentage: $0.44 \times 100 = 44\%$ .

Therefore, $\frac{4.4}{10}$ expressed as a percentage is $44\%$ .

Final Answer

44%

Key Points to Remember

Essential concepts to master this topic

Rule: Divide decimal by whole number, then multiply by 100
Technique: 4.4 ÷ 10 = 0.44, then 0.44 × 100 = 44%
Check: 44% as decimal is 0.44, and 0.44 × 10 = 4.4 ✓

Common Mistakes

Avoid these frequent errors

Forgetting to multiply by 100 for percentage conversion
Don't stop at 0.44 as your final answer = wrong result! The decimal 0.44 is not the same as 44%. Always multiply the decimal result by 100 to convert to percentage form.

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 4.4 by 10 first?

When you have a fraction like $\frac{4.4}{10}$ , the division gives you the decimal equivalent. This decimal (0.44) is easier to convert to a percentage than working with the original fraction.

Can I just move the decimal point instead of dividing?

Yes! Dividing by 10 is the same as moving the decimal point one place to the left. So 4.4 ÷ 10 = 0.44. This is a great shortcut!

What if I get confused about multiplying by 100?

Remember: to convert any decimal to a percentage, multiply by 100. You can also move the decimal point two places to the right: 0.44 becomes 44%.

How do I know 44% is reasonable?

Think about it: $\frac{4.4}{10}$ is less than half (since 4.4 < 5), so the percentage should be less than 50%. The answer 44% makes sense!

What's the difference between 4.4% and 44%?

Huge difference! 4.4% means $\frac{4.4}{100} = 0.044$ , while 44% means $\frac{44}{100} = 0.44$ . Always double-check your decimal placement!

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