Solve Decimal Division: 3.36 ÷ 0.001 Step-by-Step

Q: How do I remember that 0.001 equals 1/1000?

Count the decimal places! $ 0.001 $ has 3 places after the decimal, so it equals $ \frac{1}{1000} $ (1 with 3 zeros).

Q: What if I get confused about moving decimal points?

Use the reciprocal method instead! Convert division to multiplication: $ ÷ 0.001 $ becomes $ × 1000 $. Much easier than counting decimal places!

Q: Can I use this method for other small decimals?

Absolutely! Dividing by 0.01 means multiplying by 100, dividing by 0.1 means multiplying by 10. The pattern is: more decimal places = multiply by a bigger number.

Q: How do I check if 3360 is really correct?

Use the inverse operation: multiply your answer by the divisor. $ 3360 × 0.001 = 3.36 $ ✓ This matches our original dividend!

Decimal Division with Small Decimal Divisors

$3.36:0.001=$

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:00 Solve

00:04 Let's multiply each factor by 1000, to make it easier to divide

00:26 We'll divide between the new numbers and calculate the quotient

00:32 Any number divided by 1 is always equal to itself

00:36 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

$3.36:0.001=$

Step-by-step solution

To solve this problem, we'll follow these steps:

Step 1: Identify the given information and recognize that dividing by a small decimal is equivalent to multiplying by its reciprocal.
Step 2: Convert the division operation into a multiplication.
Step 3: Perform the multiplication to find the result.

Now, let's work through each step:
Step 1: We are given the problem $3.36 \div 0.001$ . Dividing by $0.001$ is equivalent to multiplying by its reciprocal, $1000$ .
Step 2: Rewrite the problem as a multiplication: $3.36 \times 1000$ .
Step 3: Calculate the product: $3.36 \times 1000 = 3360$ .

Therefore, the solution to the problem is $3360$ .

Final Answer

$3360$

Key Points to Remember

Essential concepts to master this topic

Rule: Dividing by 0.001 is the same as multiplying by 1000
Technique: Convert $3.36 ÷ 0.001$ to $3.36 × 1000 = 3360$
Check: Verify that $3360 × 0.001 = 3.36$ gives back original dividend ✓

Common Mistakes

Avoid these frequent errors

Moving decimal point incorrectly when dividing by small decimals
Don't just move the decimal point 3 places left like regular division = 0.00336! This treats 0.001 like a big number instead of a tiny one. Always remember that dividing by a small decimal makes numbers larger, so multiply by the reciprocal instead.

Practice Quiz

Test your knowledge with interactive questions

$$ 0.121:0.1= $$

FAQ

Everything you need to know about this question

Why does dividing by 0.001 make the number bigger?

Think about it this way: if you have 3.36 cookies and share them into groups of 0.001 (very tiny pieces), you'll need many groups! Dividing by small numbers always gives larger results.

How do I remember that 0.001 equals 1/1000?

Count the decimal places! $0.001$ has 3 places after the decimal, so it equals $\frac{1}{1000}$ (1 with 3 zeros).

What if I get confused about moving decimal points?

Use the reciprocal method instead! Convert division to multiplication: $÷ 0.001$ becomes $× 1000$ . Much easier than counting decimal places!

Can I use this method for other small decimals?

Absolutely! Dividing by 0.01 means multiplying by 100, dividing by 0.1 means multiplying by 10. The pattern is: more decimal places = multiply by a bigger number.

How do I check if 3360 is really correct?

Use the inverse operation: multiply your answer by the divisor. $3360 × 0.001 = 3.36$ ✓ This matches our original dividend!

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