Solve Decimal Multiplication: 1.62 × 100 Step-by-Step

Decimal Multiplication with Powers of 10

1.62×100= 1.62\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
00:09 Move the decimal point according to the number of zeros
00:14 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

1.62×100= 1.62\times100=

2

Step-by-step solution

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

  • Step 1: Recognize that multiplying by 100 involves moving the decimal place two positions to the right.
  • Step 2: Apply this technique to the number 1.62.
  • Step 3: Confirm the final placement of the decimal and the resulting number.

Now, let's work through each step:
Step 1: We begin with the decimal number 1.62. Since we are multiplying by 100, we will move the decimal point two places to the right.
Step 2: Shifting the decimal two places right, we get 162.00. The zeros do not affect the value, so we can also write this as 162.
Step 3: Confirming, 1.62×100=1621.62 \times 100 = 162.

Therefore, the solution to the problem is 162 162 .

3

Final Answer

162 162

Key Points to Remember

Essential concepts to master this topic
  • Rule: Move decimal point right when multiplying by powers of 10
  • Technique: For × 100, move decimal 2 places: 1.62 becomes 162
  • Check: Count zeros in 100, then move decimal that many places ✓

Common Mistakes

Avoid these frequent errors
  • Moving decimal point in the wrong direction
    Don't move the decimal left when multiplying by 100 = 0.0162! 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

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

FAQ

Everything you need to know about this question

Why do I move the decimal point right instead of left?

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When you multiply by powers of 10, you're making the number larger, so the decimal moves right. If you were dividing by 100, then you'd move it left to make it smaller!

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

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Add zeros! For example, 1.5×100 1.5 \times 100 becomes 1.50, then move right 2 places to get 150.

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

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

The number of zeros tells you how many places to move!

Do I need to write the zeros at the end?

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No! 162.00 162.00 is the same as 162. You can drop trailing zeros after the decimal point when there's no decimal point needed.

Can I use this trick with any decimal?

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Yes! This works with any decimal number. Whether it's 0.05×100=5 0.05 \times 100 = 5 or 12.345×100=1234.5 12.345 \times 100 = 1234.5 , just move the decimal right!

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