Solve the Decimal Division: 2.2 ÷ 10 Step by Step

Decimal Division with Powers of Ten

2.2:10= 2.2:10=

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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 as many places as zeros
00:20 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

2.2:10= 2.2:10=

2

Step-by-step solution

To solve this problem, let's follow these steps:

  • Step 1: Identify the given number and divisor.
  • Step 2: Understand how dividing by 10 affects decimal placement.
  • Step 3: Perform the division and verify the result with the choices provided.

Now, let's work through each step:

Step 1: The problem gives us the number 2.22.2 and requires dividing it by 1010.

Step 2: When dividing a number by 1010, you move the decimal point one place to the left. This is a result of how the base-10 system works; dividing by a power of 10 shifts the decimal point left.

Step 3: In the number 2.22.2, the decimal is currently after the numeral "2." Moving the decimal one place left, we have:

2.20.222.2 \rightarrow 0.22

Therefore, the result of 2.2÷102.2 \div 10 is 0.22\textbf{0.22}.

To ensure accuracy, we compare this result with the provided choices. Choice number 3, 0.220.22, matches our solution.

Thus, the solution to the problem is 0.220.22.

3

Final Answer

0.22 0.22

Key Points to Remember

Essential concepts to master this topic
  • Rule: Dividing by 10 moves decimal point one place left
  • Technique: Transform 2.2 → 0.22 by shifting decimal leftward
  • Check: Multiply result by divisor: 0.22 × 10 = 2.2 ✓

Common Mistakes

Avoid these frequent errors
  • Moving decimal point in wrong direction
    Don't move the decimal right when dividing by 10 = getting 22.0 instead of 0.22! Moving right is for multiplication, not division. Always remember: division by 10 moves decimal LEFT, multiplication by 10 moves decimal RIGHT.

Practice Quiz

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

FAQ

Everything you need to know about this question

Why does dividing by 10 move the decimal left?

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Think of it this way: when you divide something into 10 equal parts, each part is smaller than the original. Moving the decimal left makes the number smaller, which matches what division should do!

What if I don't see enough decimal places to move?

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You can always add zeros! For example, if you had 5÷10 5 ÷ 10 , think of 5 as 5.0, then move left to get 0.5.

Does this work for dividing by 100 or 1000 too?

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Absolutely! Dividing by 100 moves the decimal two places left, dividing by 1000 moves it three places left. The pattern continues!

How can I remember which direction to move the decimal?

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Use this trick: Division makes numbers smaller, so move decimal left. Multiplication makes numbers bigger, so move decimal right.

What if my answer has extra zeros?

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Leading zeros (like in 0.22) are important and should stay! But trailing zeros after the decimal (like 0.220) can usually be dropped unless specified otherwise.

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