Solve: 1.52 × 10 Using Decimal Multiplication Rules

Decimal Multiplication with Powers of Ten

1.52×10= 1.52\times10=

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:04 Let's solve this together!
00:07 The number of zeros tells us how many times we move the decimal point.
00:14 So, shift the decimal point for each zero you see.
00:20 Great job! And that's how we find the solution.

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

1.52×10= 1.52\times10=

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Step-by-step solution

To solve the problem of multiplying 1.52 by 10, we follow these simple steps:

  • Step 1: Understand that multiplying a decimal number by 10 involves shifting the decimal point one place to the right.
  • Step 2: Start with the number 1.52.
  • Step 3: Shift the decimal point one place to the right to get 15.2.

Let's perform these steps:
Starting with 1.52, when we shift the decimal point one place to the right, we move from 1.52 to 15.2. This is because multiplying by 10 increases the value by one order of magnitude.

Thus, the product of 1.52×10 1.52 \times 10 is 15.2 15.2 . Therefore, the correct answer choice is 15.2 15.2 .

3

Final Answer

15.2 15.2

Key Points to Remember

Essential concepts to master this topic
  • Rule: When multiplying by 10, shift decimal point one place right
  • Technique: Move 1.52 → 15.2 by shifting decimal once right
  • Check: Count decimal places: 1.52 has 2, result 15.2 has 1 ✓

Common Mistakes

Avoid these frequent errors
  • Adding zeros instead of shifting decimal point
    Don't just add a zero to get 1.520 = wrong answer! This doesn't change the value correctly when multiplying by 10. Always shift the decimal point one place to the right to get the true product.

Practice Quiz

Test your knowledge with interactive questions

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

FAQ

Everything you need to know about this question

Why do we move the decimal point instead of doing regular multiplication?

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Moving the decimal point is actually the same as regular multiplication but much faster! When you multiply by 10, you're making each digit 10 times bigger, which shifts everything one place left - that's why the decimal moves right.

What if there's no decimal point shown in the number?

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Every whole number has an invisible decimal point at the end! For example, 15 is really 15.0, so 15×10=150 15 \times 10 = 150 (decimal moves right).

What happens when I multiply by 100 or 1000?

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The pattern continues! Multiply by 100: move decimal 2 places right. Multiply by 1000: move 3 places right. The number of zeros = number of places to move!

Can I get this wrong if I'm careful with the decimal?

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Very rarely! Just remember: multiplying by 10 makes numbers bigger, so 1.52 should become something bigger like 15.2, not smaller like 0.152.

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

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Add zeros! If you need to move 1.5×100 1.5 \times 100 , move 2 places right: 1.5 → 15. → 150. The final zero is necessary!

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