Solve Division Problem: 2101 ÷ 100 Step by Step

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

Dividing makes numbers smaller, so the decimal point moves left! Think of it this way: $ 100 \div 100 = 1 $, so dividing by 100 reduces the number significantly.

Q: What if the number doesn't have a decimal point?

Every whole number has an invisible decimal point at the end! So 2101 is really 2101.0, which makes it easier to see where to move the decimal.

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, and so on.

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

Add zeros to the left! For example: $ 5 \div 100 $ becomes 5.0 → 0.50 → 0.05

Q: How can I check my answer quickly?

Multiply your result by the divisor! If $ 21.01 \times 100 = 2101 $, then your division is correct.

Decimal Division with Powers of Ten

$2101:100=$

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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

00:11 Move the decimal point by 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

$2101:100=$

Step-by-step solution

To solve $2101 \div 100$ , we proceed as follows:

Step 1: Understand the effect of dividing by 100. Dividing by 100 means moving the decimal point two spaces to the left in the number 2101.

Step 2: Initially, 2101 can be thought of as 2101.0 for ease of manipulation, even though it is a whole number.

Step 3: Shift the decimal two places to the left.

Originally: 2101.0
First shift: 210.10 (Moving one place)
Second shift: 21.01 (Moving the second place)

Thus, the number after division is 21.01. Therefore, the result of $2101 \div 100$ is $21.01$ .

Consequently, the solution to the problem is $21.01$ .

Final Answer

$21.01$

Key Points to Remember

Essential concepts to master this topic

Rule: Dividing by 100 moves decimal point two places left
Technique: Transform 2101 → 2101.0 → 210.10 → 21.01
Check: Multiply result by 100: 21.01 × 100 = 2101 ✓

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 = incorrect answer like 210100! This confuses division with multiplication. Always move decimal left when dividing by powers of ten.

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 makes numbers smaller, so the decimal point moves left! Think of it this way: $100 \div 100 = 1$ , so dividing by 100 reduces the number significantly.

What if the number doesn't have a decimal point?

Every whole number has an invisible decimal point at the end! So 2101 is really 2101.0, which makes it easier to see where to move the decimal.

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, and so on.

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

Add zeros to the left! For example: $5 \div 100$ becomes 5.0 → 0.50 → 0.05

How can I check my answer quickly?

Multiply your result by the divisor! If $21.01 \times 100 = 2101$ , then your division is correct.

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