Solve Decimal Division: 111.1 ÷ 10 Step by Step

Decimal Division with Power of Ten

111.1:10= 111.1:10=

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Solve
00:03 According to the number of zeros, move the decimal point
00:09 Move the decimal point according to the number of zeros
00:17 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

111.1:10= 111.1:10=

2

Step-by-step solution

To solve this problem, we'll follow these steps:

  • Step 1: Identify the given information: 111.1 111.1 needs to be divided by 10 10 .
  • Step 2: Apply the rule for dividing decimals by 10: shift the decimal point in the number 111.1 111.1 one place to the left.

Now, let's work through these steps in detail:

In Step 1, we confirm that the problem provides the number 111.1 111.1 to be divided by 10 10 .

In Step 2, we apply the rule of decimal division by shifting the decimal point in 111.1 111.1 one place to the left. This means the decimal moves from between the "111" and the "1" to between the "11" and "11". Thus, the number becomes 11.11 11.11 .

Therefore, the solution to the problem is 11.11 11.11 .

3

Final Answer

11.11 11.11

Key Points to Remember

Essential concepts to master this topic
  • Rule: Dividing by 10 moves decimal point one place left
  • Technique: In 111.1 ÷ 10, shift decimal left: 11.11
  • Check: Multiply answer by divisor: 11.11 × 10 = 111.1 ✓

Common Mistakes

Avoid these frequent errors
  • Moving decimal point in wrong direction
    Don't move the decimal point right when dividing by 10 = 1111 instead of 11.11! This multiplies instead of divides. Always move decimal LEFT when dividing by powers of 10.

Practice Quiz

Test your knowledge with interactive questions

\( \text{0}.07\times10= \)

FAQ

Everything you need to know about this question

Why does the decimal point move left when dividing by 10?

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Think of it this way: dividing makes numbers smaller, so the decimal point moves toward the smaller place values (left). When you divide by 10, each digit becomes one-tenth of its original value.

What if I'm dividing by 100 or 1000?

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The pattern continues! Dividing by 100 moves the decimal two places left, dividing by 1000 moves it three places left. Count the zeros in the divisor to know how many places to move.

What happens if I run out of digits when moving the decimal?

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Add zeros to the left! For example, 5.2÷100=0.052 5.2 ÷ 100 = 0.052 . The extra zero holds the place value and makes your answer correct.

How can I check my answer without a calculator?

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Multiply your answer by the original divisor. If you get back to the original number, you're right! For example: 11.11×10=111.1 11.11 × 10 = 111.1

Is there a difference between ÷ and : symbols?

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No difference at all! Both 111.1÷10 111.1 ÷ 10 and 111.1:10 111.1:10 mean exactly the same thing. Different countries and textbooks use different symbols for division.

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