Solve Decimal Division: 51.4 ÷ 10 Step-by-Step

Decimal Division with Powers of Ten

51.4:10= 51.4:10=

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Solve
00:04 According to the number of zeros, move the decimal point
00:09 Move the decimal point according to the number of zeros
00:15 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

51.4:10= 51.4:10=

2

Step-by-step solution

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

  • Step 1: Identify the current position of the decimal point in the number 51.4 51.4 .
  • Step 2: Use the rule for dividing by 10 10 , which involves moving the decimal point one place to the left.
  • Step 3: Obtain the resultant number after moving the decimal point.

Now, let's work through each step:

Step 1: The number given is 51.4 51.4 , and the decimal point is after the 11.

Step 2: According to the division rule for decimals, when dividing by 10 10 , we move the decimal point one place to the left, making it 5.14 5.14 .

Step 3: The resulting number after the decimal point is moved is therefore 5.14 5.14 .

Thus, the solution to the problem is 5.14 5.14 .

3

Final Answer

5.14 5.14

Key Points to Remember

Essential concepts to master this topic
  • Rule: Dividing by 10 moves decimal point one place left
  • Technique: 51.4 ÷ 10 = move decimal from 51.4 to 5.14
  • Check: Verify 5.14 × 10 = 51.4 to confirm correct placement ✓

Common Mistakes

Avoid these frequent errors
  • Moving decimal point in wrong direction
    Don't move the decimal point right when dividing by 10 = 514.0 instead of 5.14! This makes the number larger instead of smaller. Always remember: division by 10 makes numbers smaller, so move left.

Practice Quiz

Test your knowledge with interactive questions

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

FAQ

Everything you need to know about this question

Why does dividing by 10 move the decimal point left?

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Dividing makes numbers smaller, and moving the decimal point left reduces the value. Each place left means the number becomes 10 times smaller, which is exactly what division by 10 does!

What if there's no decimal point visible in the number?

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Every whole number has an invisible decimal point at the end! For example, 51 is really 51.0, so 51÷10=5.1 51 ÷ 10 = 5.1 .

How many places do I move for different powers of 10?

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  • ÷ 10: Move 1 place left
  • ÷ 100: Move 2 places left
  • ÷ 1000: Move 3 places left

The number of zeros equals the number of places to move!

What if I don't have enough digits to move left?

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Add zeros as placeholders! For example: 5.2÷100 5.2 ÷ 100 becomes 0.052 (adding a zero before the 5).

How can I double-check my answer?

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Multiply your answer by the original divisor. If 51.4÷10=5.14 51.4 ÷ 10 = 5.14 , then 5.14×10 5.14 × 10 should equal 51.4!

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