Solve Decimal Multiplication: Calculate 8.10 × 10

Decimal Multiplication with Powers of Ten

8.10×10= 8.10\times10=

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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
00:10 Move the decimal point as many places as 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

8.10×10= 8.10\times10=

2

Step-by-step solution

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

  • Step 1: Start with the given decimal number 8.10 8.10 .
  • Step 2: Multiply 8.10 8.10 by 10 10 .
  • Step 3: To multiply by 10 10 , move the decimal point one place to the right.

Now, let's work through each step:
Step 1: The given decimal is 8.10 8.10 .
Step 2: By multiplying 8.10 8.10 by 10 10 , we need to adjust the decimal point.
Step 3: Shift the decimal point one place to the right, which changes 8.10 8.10 to 81.0 81.0 . After removing the trailing zero, we have 81 81 .

Therefore, the solution to the problem is 81 81 .

3

Final Answer

81 81

Key Points to Remember

Essential concepts to master this topic
  • Rule: Multiplying by 10 shifts decimal point one place right
  • Technique: Move decimal in 8.10 one place right to get 81.0
  • Check: Count zeros in multiplier: 1 zero = 1 place right ✓

Common Mistakes

Avoid these frequent errors
  • Adding a zero instead of moving the decimal point
    Don't just add a zero to get 8.100 = wrong answer! This doesn't change the value at all. Always move the decimal point one place right when multiplying by 10.

Practice Quiz

Test your knowledge with interactive questions

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

FAQ

Everything you need to know about this question

Why does multiplying by 10 move the decimal point?

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Multiplying by 10 makes numbers 10 times bigger. Moving the decimal point one place right does exactly that - it increases each digit's place value by 10!

What if there's no decimal point visible?

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Every whole number has an invisible decimal point at the end. For example, 25 is really 25.0, so 25 × 10 = 250.

Do I keep the trailing zeros after moving the decimal?

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You can remove trailing zeros after the decimal point. So 8.10×10=81.0=81 8.10 \times 10 = 81.0 = 81 - they're all equal!

What about multiplying by 100 or 1000?

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Count the zeros! 100 has 2 zeros = move 2 places right. 1000 has 3 zeros = move 3 places right. The pattern continues!

Why is my calculator showing 81 instead of 81.0?

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Calculators typically drop unnecessary trailing zeros. Both 81 and 81.0 represent the same value, so your answer is correct either way!

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