Solve: 1.09 × 100 - Decimal Multiplication Practice

Q: Why does multiplying by 100 move the decimal point?

Each zero in 100 represents one decimal place to move right. Since 100 has two zeros, move the decimal point two places right. This makes the number 100 times larger!

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

Add zeros to the right! For example, $ 1.5 \times 100 $ becomes 1.50, then move two places: 150.

Q: How is this different from multiplying by 10?

Multiplying by 10 moves the decimal one place right, while multiplying by 100 moves it two places right. More zeros = more places to move!

Q: What if I get confused about which direction to move?

Remember: Multiply = Bigger = Move Right. Multiplying by powers of ten makes numbers larger, so the decimal always moves right.

Decimal Multiplication with Powers of Ten

$1.09\times100=$

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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 by the number of zeros

00:17 And this is the solution to the question

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

$1.09\times100=$

Step-by-step solution

To solve the problem of multiplying 1.09 by 100, follow these steps:

Step 1: Recognize the multiplication of a decimal by 100 requires shifting the decimal point two places to the right.
Step 2: Start with the number $1.09$ .
Step 3: Shift the decimal point two places to the right:
From $1.09$ to $109.$ (The final decimal point is not necessary to write).

Therefore, the result of $1.09 \times 100$ is $109$ .

The correct answer from the multiple choices given is option 2: $109$ .

Final Answer

$109$

Key Points to Remember

Essential concepts to master this topic

Rule: Multiplying by 100 moves decimal point two places right
Technique: From $1.09$ move decimal: 1.09 → 10.9 → 109
Check: Count decimal places: 1.09 has 2, so 109.00 drops zeros ✓

Common Mistakes

Avoid these frequent errors

Adding zeros instead of moving decimal point
Don't add two zeros to get 1.0900 = wrong approach! This treats multiplication like addition and ignores place value. Always move the decimal point right by the number of zeros in the power of ten.

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?

Each zero in 100 represents one decimal place to move right. Since 100 has two zeros, move the decimal point two places right. This makes the number 100 times larger!

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

Add zeros to the right! For example, $1.5 \times 100$ becomes 1.50, then move two places: 150.

Do I always drop the decimal point from my final answer?

Only when it comes after a whole number with no digits following. $109.$ becomes 109, but $109.50$ stays as 109.5.

How is this different from multiplying by 10?

Multiplying by 10 moves the decimal one place right, while multiplying by 100 moves it two places right. More zeros = more places to move!

What if I get confused about which direction to move?

Remember: Multiply = Bigger = Move Right. Multiplying by powers of ten makes numbers larger, so the decimal always moves right.

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