Solve Decimal Division: 3.3 ÷ 0.01 Step-by-Step

Q: What if I forget to multiply both numbers?

You'll get the wrong answer! Division is about ratios, so you must multiply both the dividend and divisor by the same number to keep the ratio unchanged.

Q: How do I know how many places to move the decimal?

Count the decimal places in the divisor (the number you're dividing by). Here, 0.01 has 2 decimal places, so multiply both numbers by 10² = 100.

Q: Can I solve this without removing decimals?

Yes, but it's much harder! You could think "How many 0.01s fit into 3.3?" But converting to $ 330 ÷ 1 $ makes it much simpler.

Q: Why is the answer bigger than what I started with?

When you divide by a number smaller than 1 (like 0.01), the result is always bigger! Think: if you split 3.3 into pieces of size 0.01, you get many pieces.

Q: How can I check if 330 is correct?

Multiply your answer by the original divisor: $ 330 \times 0.01 = 3.3 $. Since this equals the original dividend, your answer is correct!

Decimal Division with Small Divisors

$3.3:0.01=$

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:00 Solve

00:03 We'll multiply each factor by 100, to make it easier to divide

00:21 We'll divide between the new numbers and calculate the quotient

00:25 Any number divided by 1 is always equal to itself

00:28 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

$3.3:0.01=$

Step-by-step solution

To solve this problem, follow these steps:

Step 1: Recognize that you are required to divide $3.3$ by $0.01$ .
Step 2: Multiply both the dividend and the divisor by 100 to remove decimals for easier computation.
Step 3: Calculate $3.3 \times 100 = 330$ and $0.01 \times 100 = 1$ .
Step 4: Now perform the division: $330 \div 1 = 330$ .

This shows that when $3.3$ is divided by $0.01$ , it results in $330$ .

Therefore, the solution to the problem is $330$ .

Final Answer

$330$

Key Points to Remember

Essential concepts to master this topic

Rule: Multiply both dividend and divisor by same power of 10
Technique: Multiply by 100: $3.3 \times 100 = 330$ and $0.01 \times 100 = 1$
Check: Verify $330 \times 0.01 = 3.3$ gives original dividend ✓

Common Mistakes

Avoid these frequent errors

Moving decimal point incorrectly
Don't just move the decimal in the dividend without moving it in the divisor = completely wrong answer! Moving 3.3 to 33 while keeping 0.01 unchanged gives 3300, not 330. Always multiply both numbers by the same power of 10 to maintain the correct ratio.

Practice Quiz

Test your knowledge with interactive questions

$$ 0.121:0.1= $$

FAQ

Everything you need to know about this question

Why do we multiply both numbers by 100?

We multiply by 100 to eliminate the decimals and make the division easier. Since 0.01 has 2 decimal places, we need 10² = 100 to move both decimal points 2 places right.

What if I forget to multiply both numbers?

You'll get the wrong answer! Division is about ratios, so you must multiply both the dividend and divisor by the same number to keep the ratio unchanged.

How do I know how many places to move the decimal?

Count the decimal places in the divisor (the number you're dividing by). Here, 0.01 has 2 decimal places, so multiply both numbers by 10² = 100.

Can I solve this without removing decimals?

Yes, but it's much harder! You could think "How many 0.01s fit into 3.3?" But converting to $330 ÷ 1$ makes it much simpler.

Why is the answer bigger than what I started with?

When you divide by a number smaller than 1 (like 0.01), the result is always bigger! Think: if you split 3.3 into pieces of size 0.01, you get many pieces.

How can I check if 330 is correct?

Multiply your answer by the original divisor: $330 \times 0.01 = 3.3$ . Since this equals the original dividend, your answer is correct!

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