Solve Decimal Division: 0.36 ÷ 0.01 Step-by-Step

Q: Why do I multiply both numbers by 100?

We multiply by 100 because that's the smallest power of 10 that makes both decimals whole numbers. Since $ 0.01 $ has 2 decimal places, we need $ 10^2 = 100 $.

Q: What if the divisor has more decimal places?

Always count the maximum number of decimal places in either number. If one has 3 decimal places, multiply both by 1000 to clear all decimals.

Q: Can I just remove the decimal points?

No! Simply removing decimal points changes the values. You must multiply both numbers by the same power of 10 to maintain the equal ratio.

Q: How do I know my final answer is reasonable?

Think logically: dividing by a very small number like $ 0.01 $ should give a larger result than the original dividend. Since $ 36 > 0.36 $, our answer makes sense!

Q: Is there a shortcut for dividing by 0.01?

Yes! Dividing by $ 0.01 $ is the same as multiplying by 100. So $ 0.36 ÷ 0.01 = 0.36 × 100 = 36 $.

Decimal Division with Power-of-Ten Divisors

$0.36:0.01=$

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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 100, to make it easier to divide

00:24 Let's divide between the new numbers and calculate the quotient

00:27 Any number divided by 1 is always equal to itself

00:30 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

$0.36:0.01=$

Step-by-step solution

To solve the problem $0.36 \div 0.01$ , we follow these steps:

Firstly, to simplify this division with decimals, we will eliminate the decimals by converting them to whole numbers. We can do this by multiplying both numbers by 100.
Multiply $0.36$ by 100: $0.36 \times 100 = 36$ .
Multiply $0.01$ by 100: $0.01 \times 100 = 1$ .
Now, our expression simplifies to dividing whole numbers: $36 \div 1 = 36$ .

Therefore, the solution to the division $0.36 \div 0.01$ is $36$ .

Final Answer

$36$

Key Points to Remember

Essential concepts to master this topic

Rule: Multiply both numbers by same power of 10 to eliminate decimals
Technique: Multiply 0.36 and 0.01 by 100 to get 36 ÷ 1
Check: Verify 36 × 0.01 = 0.36 matches original dividend ✓

Common Mistakes

Avoid these frequent errors

Moving decimal point incorrectly
Don't just move the decimal point in the dividend without adjusting the divisor equally = wrong answer like 360! This changes the problem entirely. Always multiply both dividend and divisor by the same power of 10.

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 100?

We multiply by 100 because that's the smallest power of 10 that makes both decimals whole numbers. Since $0.01$ has 2 decimal places, we need $10^2 = 100$ .

What if the divisor has more decimal places?

Always count the maximum number of decimal places in either number. If one has 3 decimal places, multiply both by 1000 to clear all decimals.

Can I just remove the decimal points?

No! Simply removing decimal points changes the values. You must multiply both numbers by the same power of 10 to maintain the equal ratio.

How do I know my final answer is reasonable?

Think logically: dividing by a very small number like $0.01$ should give a larger result than the original dividend. Since $36 > 0.36$ , our answer makes sense!

Is there a shortcut for dividing by 0.01?

Yes! Dividing by $0.01$ is the same as multiplying by 100. So $0.36 ÷ 0.01 = 0.36 × 100 = 36$ .

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