Solve Decimal Multiplication: 0.25 × 10 Step-by-Step

Decimal Multiplication with Powers of Ten

0.25×10= 0.25\times10=

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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
00:07 Move the decimal point as many places as there are zeros
00:16 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

0.25×10= 0.25\times10=

2

Step-by-step solution

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

  • Step 1: Understand the operation that needs to be performed, which is multiplying the decimal 0.25 0.25 by 10 10 .
  • Step 2: Apply the rule for multiplying a decimal by 10 10 , which is to move the decimal point one place to the right.

Now, let's work through each step:
Step 1: We have the decimal 0.25 0.25 .
Step 2: Moving the decimal point in 0.25 0.25 one place to the right gives us 2.5 2.5 .

Therefore, the solution to the problem is 2.5 2.5 .

3

Final Answer

2.5 2.5

Key Points to Remember

Essential concepts to master this topic
  • Rule: Multiplying by 10 moves the decimal point one place right
  • Technique: Transform 0.25 → 2.5 by shifting decimal rightward once
  • Check: Verify 2.5 ÷ 10 = 0.25, confirming our multiplication is correct ✓

Common Mistakes

Avoid these frequent errors
  • Moving decimal point in wrong direction
    Don't move the decimal left when multiplying by 10 = 0.025 instead of 2.5! This treats multiplication like division. Always move the decimal point RIGHT when multiplying by powers of ten.

Practice Quiz

Test your knowledge with interactive questions

\( 20.1:10= \)

FAQ

Everything you need to know about this question

Why does multiplying by 10 move the decimal point right?

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Think of it this way: multiplying makes numbers bigger, so the decimal moves toward making a larger number. Moving right increases the value: 0.25 becomes 2.5, which is definitely bigger!

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

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Add zeros as placeholders! For example, 0.7×10=7.0 0.7 \times 10 = 7.0 . The zero shows the decimal moved one place right.

Does this trick work for multiplying by 100 or 1000?

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Absolutely! Move the decimal two places right for ×100, and three places right for ×1000. The pattern continues for any power of 10.

How is this different from regular multiplication?

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With powers of 10, you don't need to do traditional multiplication! Just count the zeros in the power of 10, then move the decimal that many places right. It's a shortcut!

What if I get confused about which direction to move?

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Remember: multiplication makes bigger, division makes smaller. Since 10 × 0.25 should give a bigger number than 0.25, the decimal moves right to create 2.5.

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