Solve Decimal Division: 1.55 ÷ 100 Converting to Percentage

Q: Why does dividing by 100 move the decimal two places?

Because 100 has two zeros! Each zero represents one decimal place movement. Dividing by 10 moves it once, dividing by 100 moves it twice, and so on.

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

Add zeros as placeholders! For example, if you divide 5 by 100, think of it as 5.00, then move the decimal two places left to get 0.05.

Q: How is this different from multiplying by 100?

Multiplying by 100 moves the decimal right (makes numbers bigger), while dividing by 100 moves it left (makes numbers smaller).

Q: Can I use long division instead?

You could, but moving the decimal point is much faster and easier! This shortcut works for any power of 10 (10, 100, 1000, etc.).

Decimal Division with Place Value Movement

$1.55:100=$

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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

00:14 Move the decimal point as many places as zeros

00:25 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

$1.55:100=$

Step-by-step solution

To solve the problem of dividing 1.55 by 100, follow these steps:

Step 1: Understand that dividing by 100 means moving the decimal point two places to the left.
Step 2: Start with the number 1.55. The decimal is currently between the 1 and the 5.
Step 3: Move the decimal point two places to the left. The first move takes it in front of the 1, making it 0.155. The second move places it to the left of the 0, resulting in 0.0155.

Therefore, when you divide 1.55 by 100, the result is $0.0155$ .

Given the available choices, the correct choice is choice 3: $0.0155$ .

Therefore, the solution to the problem is $0.0155$ .

Final Answer

$0.0155$

Key Points to Remember

Essential concepts to master this topic

Rule: Dividing by 100 moves decimal point two places left
Technique: From 1.55, move decimal left twice: 0.155 then 0.0155
Check: Multiply answer by 100: 0.0155 × 100 = 1.55 ✓

Common Mistakes

Avoid these frequent errors

Moving decimal point in wrong direction
Don't move the decimal point to the right when dividing = 155.0 instead of 0.0155! Division makes numbers smaller, so decimal moves left. Always remember: divide by powers of 10 means move decimal LEFT.

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 100 move the decimal two places?

Because 100 has two zeros! Each zero represents one decimal place movement. Dividing by 10 moves it once, dividing by 100 moves it twice, and so on.

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

Add zeros as placeholders! For example, if you divide 5 by 100, think of it as 5.00, then move the decimal two places left to get 0.05.

How is this different from multiplying by 100?

Multiplying by 100 moves the decimal right (makes numbers bigger), while dividing by 100 moves it left (makes numbers smaller).

Can I use long division instead?

You could, but moving the decimal point is much faster and easier! This shortcut works for any power of 10 (10, 100, 1000, etc.).

What does the colon symbol mean in 1.55:100?

The colon : means division, just like the ÷ symbol. So 1.55:100 is the same as 1.55 ÷ 100.

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