Solve Division Problem: Converting 9.19÷100 to a Decimal

Decimal Division with Powers of Ten

9.19:100= 9.19:100=

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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 by the number of zeros
00:21 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

9.19:100= 9.19:100=

2

Step-by-step solution

To solve the division of 9.19 9.19 by 100, we follow these steps:

  • Identify the initial position of the decimal point in 9.19 9.19 .
  • Move the decimal point two places to the left since we are dividing by 100.
  • Record the resulting number.

Let's work through this:


Original number: 9.19 9.19

Step 1: Current position of the decimal in 9.19 9.19 is between 9 and 1.

Step 2: Move the decimal two places to the left:

- First move: From between 9 and 1 to before 9, it becomes 0.919 0.919

- Second move: Insert an extra 0 to the left, resulting in 0.0919 0.0919


Therefore, the result of 9.19÷100 9.19 \div 100 is 0.0919\mathbf{0.0919}.

The correct choice matches the calculated result, which confirms choice 2 2 : 0.0919 \mathbf{0.0919} .

3

Final Answer

0.0919 0.0919

Key Points to Remember

Essential concepts to master this topic
  • Rule: Dividing by 100 moves decimal point two places left
  • Technique: 9.19 9.19 becomes 0.919 0.919 then 0.0919 0.0919
  • Check: Multiply answer by 100: 0.0919×100=9.19 0.0919 \times 100 = 9.19

Common Mistakes

Avoid these frequent errors
  • Moving decimal point the wrong direction
    Don't move the decimal point to the RIGHT when dividing by 100 = gets 919 instead of 0.0919! This happens when students confuse division with multiplication. Always move decimal LEFT when dividing by powers of ten.

Practice Quiz

Test your knowledge with interactive questions

Solve the following exercise:

22.1-12.0

FAQ

Everything you need to know about this question

Why do I move the decimal point left when dividing?

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Division makes numbers smaller, so the decimal moves toward zero (left). Think of it as the opposite of multiplication - when you multiply by 100, the decimal moves right making numbers bigger.

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

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Add zeros as placeholders! In 9.19÷100 9.19 \div 100 , after one move left you get 0.919 0.919 , then add a zero to get 0.0919 0.0919 .

How do I remember which way to move the decimal?

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Use this trick: Division = Decrease = move Left. Or think "when I divide by 100, my number gets 100 times smaller, so it needs more zeros after the decimal."

Is there a pattern for dividing by other powers of 10?

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Yes! The number of zeros tells you how many places to move:

  • ÷ 10 = move 1 place left
  • ÷ 100 = move 2 places left
  • ÷ 1000 = move 3 places left

How can I check if my answer is right?

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Multiply your answer by the original divisor. 0.0919×100=9.19 0.0919 \times 100 = 9.19 gives us back our starting number, so we know it's correct!

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