Convert Mixed Number 9 25/1000: Step-by-Step Decimal Conversion

Mixed Number Conversion with Thousandths Place

Convert 9251000 9\frac{25}{1000} into a decimal.

❤️ Continue Your Math Journey!

We have hundreds of course questions with personalized recommendations + Account 100% premium

Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:04 Let's change this to a decimal fraction.
00:07 First, break the number into a whole number and a remainder.
00:18 When the denominator is one thousand, put the numerator three digits after the decimal.
00:33 Convert it to a decimal fraction again.
00:38 Use long addition to help with the calculation.
00:45 Work out the values and fill in the right numbers.
01:02 And that's how we find the solution to the problem!

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Convert 9251000 9\frac{25}{1000} into a decimal.

2

Step-by-step solution

To convert 9251000 9\frac{25}{1000} into a decimal form, follow these steps:

  • Step 1: Convert the fraction part 251000\frac{25}{1000} into a decimal.

  • Since the fraction 251000\frac{25}{1000} has a denominator of 1000, we can interpret this as having three decimal places. Thus, 251000 \frac{25}{1000} is equivalent to 0.025.

  • Step 2: Add the whole number part 9 9 to the decimal obtained in Step 1.

  • Add the whole number 9 9 to 0.025 to obtain the final decimal: 9+0.025=9.025 9 + 0.025 = 9.025 .

Therefore, the solution to the problem is 9.025 9.025 .

3

Final Answer

9.025

Key Points to Remember

Essential concepts to master this topic
  • Fraction Part: Denominator 1000 means three decimal places (thousandths)
  • Division: Convert 251000=0.025 \frac{25}{1000} = 0.025 by placing digits correctly
  • Verification: Check that 9.025 = 9 + 0.025 gives original mixed number ✓

Common Mistakes

Avoid these frequent errors
  • Ignoring the number of zeros in denominator
    Don't convert 251000 \frac{25}{1000} to 0.25 = wrong decimal places! The denominator 1000 has three zeros, so you need exactly three decimal places. Always count the zeros in the denominator to determine decimal places.

Practice Quiz

Test your knowledge with interactive questions

Convert into fraction form:

\( 0.38= \)

FAQ

Everything you need to know about this question

Why does the denominator 1000 give me three decimal places?

+

The denominator tells you how many decimal places you need! 1000 has three zeros, so you need three decimal places. Think of it as: 10 = 1 decimal place, 100 = 2 decimal places, 1000 = 3 decimal places.

What if the numerator has fewer digits than the denominator's zeros?

+

Add leading zeros to fill the decimal places! For 251000 \frac{25}{1000} , you need 3 places but 25 has only 2 digits, so write it as 0.025 (adding one zero at the start).

How do I remember which part is the whole number?

+

In a mixed number like 9251000 9\frac{25}{1000} , the big number in front (9) is always the whole number part. The fraction part gets converted to decimal places.

Can I use a calculator to check my answer?

+

Absolutely! Divide 25 ÷ 1000 on your calculator to get 0.025, then add 9 to get 9.025. This confirms your manual conversion is correct.

What's the difference between 9.025 and 9.25?

+

Huge difference! 9.025 is 9251000 9\frac{25}{1000} while 9.25 is 925100 9\frac{25}{100} . The denominator changes everything - always pay attention to how many zeros it has!

🌟 Unlock Your Math Potential

Get unlimited access to all 18 Decimal Fractions - Basic questions, detailed video solutions, and personalized progress tracking.

📹

Unlimited Video Solutions

Step-by-step explanations for every problem

📊

Progress Analytics

Track your mastery across all topics

🚫

Ad-Free Learning

Focus on math without distractions

No credit card required • Cancel anytime

More Questions

Click on any question to see the complete solution with step-by-step explanations