Multiply 11.41 × 100: Decimal Place Value Shift Problem

Decimal Multiplication with Powers of Ten

11.41×100= 11.41\times100=

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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
00:10 Move the point according to 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

11.41×100= 11.41\times100=

2

Step-by-step solution

To solve the problem of finding 11.41×100 11.41 \times 100 , we'll follow these steps:

  • Step 1: Understand the operation needed - multiplying by 100 involves moving the decimal point two places to the right.
  • Step 2: Identify the initial position of the decimal point in the number 11.41. Initially, it is between 11 and 41.
  • Step 3: Move the decimal two places to the right. This results in the number shifting from 11.41 to 1141.0.
  • Step 4: Simplify by removing the unnecessary decimal zero, resulting in the final value of 1141.

Therefore, the solution to the problem 11.41×100 11.41 \times 100 is 1141 1141 .

3

Final Answer

1141 1141

Key Points to Remember

Essential concepts to master this topic
  • Rule: Multiplying by 100 moves decimal point 2 places right
  • Technique: From 11.41 → 1141.0 → 1141 (remove trailing zero)
  • Check: Count decimal places: 11.41 has 2, so 11.41 × 100 = 1141 ✓

Common Mistakes

Avoid these frequent errors
  • Moving decimal point the wrong direction
    Don't move the decimal point left when multiplying by 100 = gives 0.1141! This makes the number smaller instead of larger. Always move the decimal point right when multiplying by powers of 10.

Practice Quiz

Test your knowledge with interactive questions

Solve the following exercise:

33.10-11.10

FAQ

Everything you need to know about this question

Why do I move the decimal point right when multiplying by 100?

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Because multiplying by 100 makes numbers 100 times larger! Moving the decimal point 2 places to the right increases the place value of each digit by 100 times.

What if there aren't enough digits after moving the decimal?

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Add zeros as placeholders! For example: 1.2×100=120 1.2 \times 100 = 120 (the zero fills the empty place after moving the decimal).

Do I always remove the decimal point from my final answer?

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Only remove it when it's at the end with zeros after it! 1141.0=1141 1141.0 = 1141 , but keep decimals like 1141.5 1141.5 as they are.

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

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Count the zeros! ×10 \times 10 = 1 place right, ×100 \times 100 = 2 places right, ×1000 \times 1000 = 3 places right.

Can I use this method for dividing by powers of 10 too?

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Yes! But move the decimal point left instead of right. Dividing makes numbers smaller, so the decimal moves toward smaller place values.

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