Convert Mixed Number 1000 1/10 to Decimal Form: Step-by-Step

Mixed Number Conversion with Tenths

Convert 1000110 1000\frac{1}{10} 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
00:00 Convert to decimal fraction
00:03 Break down the number into whole number and remainder
00:15 When the denominator equals 10, place the numerator directly after the decimal point
00:20 Add to decimal fraction
00:23 Use long addition for calculation
00:31 Calculate and substitute accordingly
00:54 And this is the solution to the question

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Convert 1000110 1000\frac{1}{10} into a decimal.

2

Step-by-step solution

To solve this problem, we will follow these steps:

  • Step 1: Convert the fractional part 110 \frac{1}{10} into a decimal.

  • Step 2: Add the decimal to the whole number 1000.

Now let's work through these steps:
Step 1: The fraction 110 \frac{1}{10} is equivalent to 0.1 because dividing 1 by 10 yields 0.1.
Step 2: Add this decimal to the whole number part:
1000+0.1=1000.1 1000 + 0.1 = 1000.1

Therefore, the solution to the problem is 1000.1 1000.1 . Which means "none of the answers are correct".

3

Final Answer

None of the answers are correct.

Key Points to Remember

Essential concepts to master this topic
  • Rule: Convert fraction part to decimal, then add to whole number
  • Technique: 110 \frac{1}{10} equals 0.1, so 1000 + 0.1 = 1000.1
  • Check: Verify 1000.1 = 1000 + 0.1 where 0.1 = 110 \frac{1}{10}

Common Mistakes

Avoid these frequent errors
  • Adding fraction without converting to decimal
    Don't try to add 1000 + 110 \frac{1}{10} directly = confusion and wrong answers! The whole number and fraction use different forms. Always convert the fraction to decimal form first, then add.

Practice Quiz

Test your knowledge with interactive questions

Write the following fraction as a decimal:

\( \frac{5}{100}= \)

FAQ

Everything you need to know about this question

How do I convert 110 \frac{1}{10} to a decimal?

+

Think of 110 \frac{1}{10} as 1 divided by 10. When you divide 1 by 10, you get 0.1. The denominator 10 tells you the decimal goes to the tenths place.

Why isn't 1000.01 or 1000.0 the right answer?

+

1000.01 would be 10001100 1000\frac{1}{100} , not 1000110 1000\frac{1}{10} . And 1000.0 has no fractional part at all! Our answer 1000.1 correctly shows 1 tenth.

What if the fraction part was different, like 310 \frac{3}{10} ?

+

The same method works! 310 \frac{3}{10} becomes 0.3, so 1000310 1000\frac{3}{10} would equal 1000.3. The numerator becomes the digit in the tenths place.

How can I remember the decimal place for tenths?

+

Remember: tenths = first decimal place. So 110 \frac{1}{10} = 0.1, 1100 \frac{1}{100} (hundredths) = 0.01, and so on.

What should I do when none of the multiple choice answers match my work?

+

Double-check your calculation first! If you're confident your math is correct and none of the given options match, then "None of the answers are correct" is likely the right choice, just like in this problem.

🌟 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