Solve Division Problem: 231 ÷ 100 = Finding the Exact Quotient

Q: Why do I move the decimal point left when dividing by 100?

Dividing by 100 makes numbers smaller, so the decimal point moves toward the front (left). Think of it as: 100 is $ 10^2 $, so move 2 places left!

Q: What if there's no decimal point in the original number?

Every whole number has an invisible decimal point at the end! For 231, imagine it as 231.0, then you can easily move the decimal point left.

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

Count the zeros! Divide by 10 = move 1 place left, divide by 100 = move 2 places left, divide by 1000 = move 3 places left.

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

Add zeros to the left of your number! For example: $ 25 ÷ 1000 $ becomes 025.0, then move 3 places left to get 0.025.

Q: Is 2.31 the same as 2.310?

Mathematically yes, but 2.31 is the standard form because we don't write unnecessary trailing zeros after the decimal point.

Division by 100 with Decimal Point Movement

$231:100=$

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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 according to the number of zeros

00:20 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

$231:100=$

Step-by-step solution

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

Step 1: Identify the current position of the decimal point.
Step 2: Move the decimal point two places to the left, as we are dividing by 100.

Now, let's work through the calculation:

Step 1: The number 231 is actually 231.0 when viewed as a decimal.

Step 2: Since we are dividing by 100, we move the decimal point two places to the left:
Starting from 231.0, moving two places left gives us 2.31.

Therefore, the solution to the problem is $2.31$ .

Final Answer

$2.31$

Key Points to Remember

Essential concepts to master this topic

Rule: When dividing by 100, move decimal point two places left
Technique: Transform 231 to 231.0, then shift left: 2.31
Check: Multiply result by 100: $2.31 \times 100 = 231$ ✓

Common Mistakes

Avoid these frequent errors

Moving decimal point in wrong direction
Don't move the decimal point right when dividing by 100 = 23100! This multiplies instead of divides. Always move 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 do I move the decimal point left when dividing by 100?

Dividing by 100 makes numbers smaller, so the decimal point moves toward the front (left). Think of it as: 100 is $10^2$ , so move 2 places left!

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

Every whole number has an invisible decimal point at the end! For 231, imagine it as 231.0, then you can easily move the decimal point left.

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

Count the zeros! Divide by 10 = move 1 place left, divide by 100 = move 2 places left, divide by 1000 = move 3 places left.

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

Add zeros to the left of your number! For example: $25 ÷ 1000$ becomes 025.0, then move 3 places left to get 0.025.

Is 2.31 the same as 2.310?

Mathematically yes, but 2.31 is the standard form because we don't write unnecessary trailing zeros after the decimal point.

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