Solve Decimal Division: 0.99 ÷ 330 Step-by-Step

Q: Why convert 0.99 ÷ 330 to a fraction?

Converting to $ \frac{0.99}{330} $ makes the division clearer and helps you track decimal places accurately. It's much easier to work with whole numbers!

Q: How do I know where to place the decimal point?

When you multiply both numbers by 100 to get $ \frac{99}{33000} $, the decimal placement is automatically handled. The final answer maintains the correct decimal position.

Q: Can I just use a calculator for this?

While calculators work, understanding the step-by-step process helps you catch errors and builds number sense. Plus, you'll need these skills for more complex problems!

Q: What if I get a different decimal answer?

Double-check your arithmetic! Common errors include misplacing decimals or incorrect division. Remember: 0.003 × 330 should equal 0.99 exactly.

Q: Is there a faster way to solve this?

You can use long division directly with 0.99 ÷ 330, but converting to fractions often reduces mistakes and makes the work clearer to follow.

Decimal Division with Large Whole Numbers

$0.99:330=$

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Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

$0.99:330=$

Step-by-step solution

To solve the problem of dividing $0.99$ by $330$ , we follow these steps:

Step 1: Recognize that the operation is division, specifically dividing a decimal by a whole number.
Step 2: Express the decimal division $0.99 \div 330$ as a fraction $\frac{0.99}{330}$ .
Step 3: To facilitate division, multiply both the numerator and the denominator by 100 to eliminate the decimal. Thus, $\frac{0.99}{330} = \frac{99}{33000}$ .
Step 4: Simplify the fraction $\frac{99}{33000}$ . Both numbers can be divided by 3:

Divide 99 by 3 to get 33.
Divide 33000 by 3 to get 11000.

Thus, the simplified fraction is $\frac{33}{11000}$ .
Step 5: Perform division on the simplified fraction: 33 divided by 11000 is a direct calculation that results in $0.003$ .

Therefore, the quotient of $0.99$ divided by $330$ is $0.003$ .

Final Answer

$0.003$

Key Points to Remember

Essential concepts to master this topic

Method: Convert decimal division to fraction form for easier calculation
Technique: Multiply by 100: $\frac{0.99}{330} = \frac{99}{33000}$
Check: Verify 0.003 × 330 = 0.99 using multiplication ✓

Common Mistakes

Avoid these frequent errors

Incorrectly placing the decimal point
Don't just divide 99 by 330 and guess where the decimal goes = 0.3 instead of 0.003! This ignores the original decimal places. Always track decimal positions or use fraction conversion to maintain accuracy.

Practice Quiz

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$$ 20.1:10= $$

FAQ

Everything you need to know about this question

Why convert 0.99 ÷ 330 to a fraction?

Converting to $\frac{0.99}{330}$ makes the division clearer and helps you track decimal places accurately. It's much easier to work with whole numbers!

How do I know where to place the decimal point?

When you multiply both numbers by 100 to get $\frac{99}{33000}$ , the decimal placement is automatically handled. The final answer maintains the correct decimal position.

Can I just use a calculator for this?

While calculators work, understanding the step-by-step process helps you catch errors and builds number sense. Plus, you'll need these skills for more complex problems!

What if I get a different decimal answer?

Double-check your arithmetic! Common errors include misplacing decimals or incorrect division. Remember: 0.003 × 330 should equal 0.99 exactly.

Is there a faster way to solve this?

You can use long division directly with 0.99 ÷ 330, but converting to fractions often reduces mistakes and makes the work clearer to follow.

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