Solve: 1.1 × 10 - Decimal Multiplication Practice

Q: Why does multiplying by 10 move the decimal point?

Multiplying by 10 makes each digit ten times larger, which means it moves one place value to the left. This is the same as moving the decimal point one place to the right!

Q: What if there's no decimal point visible in the answer?

That's normal! When $ 1.1 \times 10 = 11.0 $, we write it as 11 because the decimal point and trailing zero aren't needed for whole numbers.

Q: Does this work for multiplying by 100 or 1000?

Yes! The pattern continues: multiply by 100 moves decimal two places right, multiply by 1000 moves it three places right, and so on.

Q: What if I multiply by 0.1 instead of 10?

Multiplying by 0.1 does the opposite - it moves the decimal point one place to the left. So $ 1.1 \times 0.1 = 0.11 $.

Q: How can I remember which direction to move the decimal?

Think bigger or smaller: Multiplying by 10 makes numbers bigger, so decimal moves right. Multiplying by 0.1 makes numbers smaller, so decimal moves left!

Decimal Multiplication with Power of Ten

$1.1\times10=$

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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

00:10 Move the point by the number of 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

Understand the problem

$1.1\times10=$

Step-by-step solution

To solve this problem, we'll perform the multiplication $1.1 \times 10$ . This involves a straightforward process of shifting the decimal point:

Step 1: Observe the original number $1.1$ . Here, the decimal point is between 1 and 1.
Step 2: Since we are multiplying by $10$ , shift the decimal point one place to the right. The number after shifting becomes $11.0$ .
Step 3: The number $11.0$ is equivalent to $11$ as the trailing zero after the decimal is not necessary.

Thus, the calculation of $1.1 \times 10$ results in $11$ .

Therefore, the correct choice is Choice 2: $11$ .

Final Answer

$11$

Key Points to Remember

Essential concepts to master this topic

Rule: Multiplying by 10 shifts decimal point one place right
Technique: Move 1.1 decimal right becomes 11.0 or simply 11
Check: Verify 1.1 × 10 = 11 by counting decimal places moved ✓

Common Mistakes

Avoid these frequent errors

Adding zeros instead of shifting decimal
Don't just add a zero to get 1.10 = wrong answer! This treats multiplication like addition. Always shift the decimal point one place to the right when multiplying by 10.

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 10 move the decimal point?

Multiplying by 10 makes each digit ten times larger, which means it moves one place value to the left. This is the same as moving the decimal point one place to the right!

What if there's no decimal point visible in the answer?

That's normal! When $1.1 \times 10 = 11.0$ , we write it as 11 because the decimal point and trailing zero aren't needed for whole numbers.

Does this work for multiplying by 100 or 1000?

Yes! The pattern continues: multiply by 100 moves decimal two places right, multiply by 1000 moves it three places right, and so on.

What if I multiply by 0.1 instead of 10?

Multiplying by 0.1 does the opposite - it moves the decimal point one place to the left. So $1.1 \times 0.1 = 0.11$ .

How can I remember which direction to move the decimal?

Think bigger or smaller: Multiplying by 10 makes numbers bigger, so decimal moves right. Multiplying by 0.1 makes numbers smaller, so decimal moves left!

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