Solve Division Problem: 33631 ÷ 100 Step by Step

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

Division makes numbers smaller! When you divide by 100, you're splitting the number into 100 equal parts. Moving the decimal two places left is the shortcut for this division.

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

Every whole number has an invisible decimal point at the end! So 33631 is really 33631.0, and you can move that decimal point left as needed.

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

÷ 10: Move 1 place left÷ 100: Move 2 places left÷ 1000: Move 3 places leftCount the zeros to know how many places!

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

Add zeros to the left of your number! For example, if dividing 5 by 100, think of it as 005.0, then move decimal left twice to get 0.05.

Q: How can I check if my answer is correct?

Multiply your answer by the divisor! $ 336.31 \times 100 = 33631 $. If you get back to your original number, you're right!

Decimal Division with Powers of Ten

$33631:100=$

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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

00:08 Move the decimal point according to the number of zeros

00:22 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

$33631:100=$

Step-by-step solution

To solve this division problem, we need to divide the number 33631 by 100. This can be efficiently accomplished by shifting the decimal point two positions to the left, given the rule of dividing by powers of 10.

Let's follow this step-by-step:

Step 1: Recognize that 33631 as a whole number can be rewritten as 33631.0, indicating the implicit decimal point.
Step 2: For division by 100, shift the decimal point two places to the left.

Routinely executing this: 33631.0 becomes 336.31, as the decimal point shifts two positions to the left.

Thus, after dividing 33631 by 100, the result is $336.31$ .

Final Answer

$336.31$

Key Points to Remember

Essential concepts to master this topic

Rule: Dividing by 100 moves decimal point two places left
Technique: Transform 33631.0 → 336.31 by shifting decimal left twice
Check: Multiply result by 100: 336.31 × 100 = 33631 ✓

Common Mistakes

Avoid these frequent errors

Moving decimal point in wrong direction
Don't move the decimal point to the right when dividing by 100 = gives 3363100! Division by powers of 10 makes numbers smaller, not larger. Always move decimal left when dividing by 10, 100, 1000, etc.

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?

Division makes numbers smaller! When you divide by 100, you're splitting the number into 100 equal parts. Moving the decimal two places left is the shortcut for this division.

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

Every whole number has an invisible decimal point at the end! So 33631 is really 33631.0, and you can move that decimal point left as needed.

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

÷ 10: Move 1 place left
÷ 100: Move 2 places left
÷ 1000: Move 3 places left

Count the zeros to know how many places!

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

Add zeros to the left of your number! For example, if dividing 5 by 100, think of it as 005.0, then move decimal left twice to get 0.05.

How can I check if my answer is correct?

Multiply your answer by the divisor! $336.31 \times 100 = 33631$ . If you get back to your original number, you're right!

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