Converting the Fraction 53/100 to Decimal Form: Step-by-Step Solution

Q: Why does dividing by 100 move the decimal point left?

Dividing by 100 makes numbers smaller, so the decimal point moves left! Think of it as: $ 53 ÷ 100 = 0.53 $. Each zero in the denominator moves the decimal one place left.

Q: Do I need to keep the zero at the end in 0.530?

No! Trailing zeros after the decimal point don't change the value. $ 0.530 = 0.53 $. You can drop them to make your answer cleaner.

Q: What if the fraction was 53/1000 instead?

Move the decimal point three places left because 1000 has three zeros: $ \frac{53}{1000} = 0.053 $. Count the zeros to know how many places to move!

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

Use this trick: Dividing makes smaller, so move left. Multiplying makes bigger, so move right. Dividing by 100 = move left 2 places!

Q: Can all fractions be converted to decimals this easily?

Only fractions with denominators that are powers of 10 (10, 100, 1000, etc.) convert this easily. Other fractions need long division or a calculator.

Fraction to Decimal with Place Value Understanding

Write the following fraction as a decimal:

$\frac{53}{100}=$

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:05 Let's convert the fraction to a decimal.

00:08 Take the top number, called the numerator, as it is.

00:12 Now, look at the bottom number, the denominator.

00:16 If the denominator is one hundred, move the decimal point two places to the left.

00:23 And that's how you solve the problem!

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

Write the following fraction as a decimal:

$\frac{53}{100}=$

Step-by-step solution

Let's write the simple fraction as a decimal fraction

$53.0$

Since the fraction divides by 100, we move the decimal point once to the left and get:

$.530$

We'll add the zero before the decimal point and get:

$0.530=0.53$

Final Answer

0.53

Key Points to Remember

Essential concepts to master this topic

Rule: Fractions with denominator 100 convert directly to decimals
Technique: Move decimal point left: 53/100 = 53.0 → 0.53
Check: Verify 0.53 × 100 = 53 to confirm conversion ✓

Common Mistakes

Avoid these frequent errors

Moving decimal point in wrong direction
Don't move the decimal point right when dividing by 100 = gives 5.3 instead of 0.53! This makes the decimal 10 times too big. Always move decimal point left when dividing by powers of 10.

Practice Quiz

Test your knowledge with interactive questions

Write the following fraction as a decimal:

$\frac{5}{100}=$

FAQ

Everything you need to know about this question

Why does dividing by 100 move the decimal point left?

Dividing by 100 makes numbers smaller, so the decimal point moves left! Think of it as: $53 ÷ 100 = 0.53$ . Each zero in the denominator moves the decimal one place left.

Do I need to keep the zero at the end in 0.530?

No! Trailing zeros after the decimal point don't change the value. $0.530 = 0.53$ . You can drop them to make your answer cleaner.

What if the fraction was 53/1000 instead?

Move the decimal point three places left because 1000 has three zeros: $\frac{53}{1000} = 0.053$ . Count the zeros to know how many places to move!

How do I remember which direction to move the decimal?

Use this trick: Dividing makes smaller, so move left. Multiplying makes bigger, so move right. Dividing by 100 = move left 2 places!

Can all fractions be converted to decimals this easily?

Only fractions with denominators that are powers of 10 (10, 100, 1000, etc.) convert this easily. Other fractions need long division or a calculator.

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