Solve Decimal Division: 11.31 ÷ 10 Step-by-Step

Q: Why does dividing by 10 make the decimal point move left?

When you divide by 10, you're making the number 10 times smaller. Moving the decimal point left reduces the value of each digit by a factor of 10, which is exactly what division by 10 does!

Q: What if I'm dividing by 100 or 1000?

The same rule applies! Dividing by 100 moves the decimal two places left, and dividing by 1000 moves it three places left. Count the zeros to know how many places to move.

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

Add zeros to the left as placeholders! For example: $ 5.2 ÷ 100 = 0.052 $ (we added a zero before the 5).

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

Remember: Division makes numbers smaller, so the decimal moves left. Multiplication makes numbers bigger, so it moves right. Think 'left for less, right for more'!

Q: Is this the same as multiplying by 0.1?

Yes! Dividing by 10 is exactly the same as multiplying by $ 0.1 $. Both operations give you the same result because $ 0.1 = \frac{1}{10} $.

Decimal Division with Powers of Ten

$11.31:10=$

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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

00:17 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

$11.31:10=$

Step-by-step solution

To solve this problem, follow these steps:

Step 1: Identify the decimal number given in the problem. In this case, it is 11.31.
Step 2: Note that we are instructed to divide this number by 10.
Step 3: When dividing a number by 10, simply move the decimal point in the original number one place to the left.

Now, let's perform the calculation:

In the number 11.31, the decimal point is after the first "1". To divide by 10, move the decimal point one place to the left, resulting in the number:

$1.131$

This is the correct result of dividing 11.31 by 10.

Therefore, the solution to the problem is $1.131$ .

Final Answer

$1.131$

Key Points to Remember

Essential concepts to master this topic

Rule: Dividing by 10 moves the decimal point one place left
Technique: From 11.31 ÷ 10, move decimal: 11.31 → 1.131
Check: Multiply result by 10: 1.131 × 10 = 11.31 ✓

Common Mistakes

Avoid these frequent errors

Moving decimal point in wrong direction
Don't move the decimal point to the right when dividing by 10 = gives 113.1 instead of 1.131! This makes the number bigger instead of smaller. Always move decimal left when dividing 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 does dividing by 10 make the decimal point move left?

When you divide by 10, you're making the number 10 times smaller. Moving the decimal point left reduces the value of each digit by a factor of 10, which is exactly what division by 10 does!

What if I'm dividing by 100 or 1000?

The same rule applies! Dividing by 100 moves the decimal two places left, and dividing by 1000 moves it three places left. Count the zeros to know how many places to move.

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

Add zeros to the left as placeholders! For example: $5.2 ÷ 100 = 0.052$ (we added a zero before the 5).

How can I remember which direction to move the decimal?

Remember: Division makes numbers smaller, so the decimal moves left. Multiplication makes numbers bigger, so it moves right. Think 'left for less, right for more'!

Is this the same as multiplying by 0.1?

Yes! Dividing by 10 is exactly the same as multiplying by $0.1$ . Both operations give you the same result because $0.1 = \frac{1}{10}$ .

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