Solve the Decimal Division: 100.1 ÷ 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 making the number 100 times smaller. Moving the decimal point two places left achieves this reduction.

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

Add zeros to the left as placeholders! For example, if dividing 5.2 by 100, you get 0.052 by adding a zero before the 5.

Q: How do I remember which way to move the decimal?

Think about the result: division makes numbers smaller, so the decimal moves left. Multiplication makes numbers larger, so decimal moves right.

Q: Why is the answer 1.001 and not 1.1?

You must account for all decimal places! The original number 100.1 has one decimal place, so when you move two places left, you need to add a zero: 1.001.

Decimal Division with Powers of Ten

$100.1:100=$

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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 by the number of zeros

00:18 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

$100.1:100=$

Step-by-step solution

To solve the problem of dividing 100.1 by 100, we will perform the following steps:

Step 1: Identify the starting position of the decimal point in 100.1, which is 1 place after the first zero, i.e., between 100 and 1.
Step 2: Move the decimal point two places to the left because we are dividing by 100. The first move places the decimal point before '0', and the second move places it before '1'.
Step 3: Now, add zeros if needed to the front to denote the newly formed decimal number.

After moving the decimal, 100.1 becomes 1.001. This is the result of dividing 100.1 by 100. Therefore, the solution to the problem is:

$1.001$

Final Answer

$1.001$

Key Points to Remember

Essential concepts to master this topic

Rule: Dividing by 100 moves decimal point two places left
Technique: From 100.1, move decimal left twice: 1.001
Check: Multiply answer by divisor: 1.001 × 100 = 100.1 ✓

Common Mistakes

Avoid these frequent errors

Moving decimal point the wrong direction
Don't move the decimal point to the right when dividing by 100 = answer of 10,010! Division by powers of 10 makes numbers smaller, not larger. Always move decimal point left when dividing by 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 making the number 100 times smaller. Moving the decimal point two places left achieves this reduction.

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

Add zeros to the left as placeholders! For example, if dividing 5.2 by 100, you get 0.052 by adding a zero before the 5.

How do I remember which way to move the decimal?

Think about the result: division makes numbers smaller, so the decimal moves left. Multiplication makes numbers larger, so decimal moves right.

Why is the answer 1.001 and not 1.1?

You must account for all decimal places! The original number 100.1 has one decimal place, so when you move two places left, you need to add a zero: 1.001.

Can I just remove two zeros from 100.1?

No! That method only works with whole numbers. For decimals, you must move the decimal point systematically to preserve the correct place value.

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