Solve Decimal Multiplication: 1.08 × 100 Step-by-Step

Decimal Multiplication with Powers of Ten

1.08×100= 1.08\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 decimal point as many places as zeros
00:19 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

1.08×100= 1.08\times100=

2

Step-by-step solution

To solve this problem, we will perform a simple multiplication operation involving a decimal.

Firstly, consider the number 1.081.08. When multiplying a decimal number by 100100, we can shift the decimal point two places to the right. This change reflects the fact that the number being multiplied is equivalent to increasing its value by a factor of 100100.

For 1.081.08:
Original position: 1.081.08 (decimal point after the second '1')
After shifting two places to the right, the number becomes 108.0108.0, which can be written simply as 108108 since the decimal point followed by zero does not change the value of the integer.

Therefore, the calculation yields the result: 1.08×100=1081.08 \times 100 = 108.

In conclusion, the solution to the problem is 108108.

3

Final Answer

108 108

Key Points to Remember

Essential concepts to master this topic
  • Rule: Multiplying by 100 moves decimal point two places right
  • Technique: 1.08 1.08 becomes 108.0 108.0 when decimal shifts right twice
  • Check: Count decimal places: 2 places right gives 108 ✓

Common Mistakes

Avoid these frequent errors
  • Adding zeros instead of moving decimal point
    Don't just add two zeros to get 1.0800 = wrong answer! This doesn't change the decimal's value. Always move the decimal point two places to the right when multiplying by 100.

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 100 move the decimal point?

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Because 100 = 10². Each factor of 10 moves the decimal one place right, so 100 moves it two places. Think of it as making the number 100 times bigger!

What if there aren't enough digits to move the decimal?

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Add zeros! For example, 0.5×100 0.5 \times 100 becomes 50.0 50.0 or just 50. The zeros act as placeholders.

Do I always get a whole number when multiplying decimals by 100?

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Not always! If your decimal has more than 2 decimal places, like 1.234×100=123.4 1.234 \times 100 = 123.4 , you'll still have a decimal in your answer.

How is this different from multiplying by 10?

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Multiplying by 10 moves the decimal one place right, while 100 moves it two places right. So 1.08×10=10.8 1.08 \times 10 = 10.8 .

Can I use this trick for other numbers like 1000?

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Yes! The pattern continues:

  • ×10 = move 1 place right
  • ×100 = move 2 places right
  • ×1000 = move 3 places right

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