Solve Decimal Division: 0.36 ÷ 0.1 Step-by-Step

Q: Why do I multiply both numbers by 10 instead of just removing decimals?

Multiplying both by the same amount keeps the division equivalent! If you multiply $ 0.36 ÷ 0.1 $ by $ \frac{10}{10} $, you get the same answer as the original problem.

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

Look at the divisor (the number you're dividing by). Count how many decimal places it has. Move both decimal points that many places to the right.

Q: Can I just think of this as 36 ÷ 1?

Almost! When you multiply $ 0.36 $ by 10, you get $ 3.6 $, not 36. Be careful to track your decimal places correctly.

Q: How can I check if 3.6 is really the right answer?

Use multiplication to check division: $ 3.6 × 0.1 = 0.36 $ ✓. Since this equals our original dividend, we know 3.6 is correct!

Decimal Division with Equivalent Multiplication

$0.36:0.1=$

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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 10, to make it easier to divide

00:22 Let's 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

$0.36:0.1=$

Step-by-step solution

To solve the problem $0.36 \div 0.1$ , we use the method of converting to whole numbers as follows:

Step 1: Multiply both 0.36 and 0.1 by 10 to get rid of the decimals. This gives us $3.6$ and $1$ .
Step 2: Perform the division of $3.6$ by $1$ , which simply results in $3.6$ .

Thus, the result of $0.36 \div 0.1$ is $3.6$ .

Final Answer

$3.6$

Key Points to Remember

Essential concepts to master this topic

Rule: When dividing by decimals, multiply both numbers by same power of 10
Technique: Convert $0.36 ÷ 0.1$ to $3.6 ÷ 1$ by multiplying both by 10
Check: Verify $3.6 × 0.1 = 0.36$ confirms our answer ✓

Common Mistakes

Avoid these frequent errors

Moving decimal places incorrectly
Don't move the decimal point different amounts in dividend and divisor = wrong answer! Moving 0.36 one place but 0.1 two places gives 36 ÷ 100 = 0.36 instead of 3.6. Always move the decimal the same number of places in both numbers.

Practice Quiz

Test your knowledge with interactive questions

$$ 0.121:0.1= $$

FAQ

Everything you need to know about this question

Why do I multiply both numbers by 10 instead of just removing decimals?

Multiplying both by the same amount keeps the division equivalent! If you multiply $0.36 ÷ 0.1$ by $\frac{10}{10}$ , you get the same answer as the original problem.

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

Look at the divisor (the number you're dividing by). Count how many decimal places it has. Move both decimal points that many places to the right.

What if I get a bigger number than I started with?

That's normal when dividing by decimals less than 1! Dividing by $0.1$ is the same as multiplying by 10, so of course your answer is larger.

Can I just think of this as 36 ÷ 1?

Almost! When you multiply $0.36$ by 10, you get $3.6$ , not 36. Be careful to track your decimal places correctly.

How can I check if 3.6 is really the right answer?

Use multiplication to check division: $3.6 × 0.1 = 0.36$ ✓. Since this equals our original dividend, we know 3.6 is correct!

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