Solve Decimal Division: 3.36 ÷ 0.1 Step-by-Step

Q: Why do we multiply both numbers by 10?

We multiply both the dividend and divisor by 10 to eliminate the decimal in the divisor. This keeps the division equivalent but makes it easier to calculate!

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

Count the decimal places in the divisor. Since 0.1 has 1 decimal place, move both decimal points 1 place to the right.

Decimal Division with Single Decimal Divisor

$3.36:0.1=$

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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

00:17 Let's divide between the new numbers and calculate the quotient

00:22 Any number divided by 1 is always equal to itself

00:27 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

$3.36:0.1=$

Step-by-step solution

To solve the division of two decimal numbers, we start by converting the divisor, 0.1, into a whole number to simplify the calculation.

Step 1: Multiply both the dividend and the divisor by 10 to eliminate the decimal in the divisor. This gives us:

$3.36 \times 10 = 33.6$ and $0.1 \times 10 = 1$

Step 2: The division is now transformed from $\frac{3.36}{0.1}$ to $\frac{33.6}{1}$ .

Step 3: Dividing 33.6 by 1 results simply in 33.6.

There's no change needed to any number beyond this step, as the division by 1 does not alter the value.

Therefore, the solution to the problem is $33.6$ .

Final Answer

$33.6$

Key Points to Remember

Essential concepts to master this topic

Rule: Multiply both dividend and divisor by powers of 10
Technique: $3.36 \times 10 = 33.6$ and $0.1 \times 10 = 1$
Check: Verify $33.6 \div 1 = 33.6$ equals original division ✓

Common Mistakes

Avoid these frequent errors

Moving decimal point incorrectly in dividend only
Don't just move the decimal in 3.36 to get 33.6 without changing the divisor = wrong answer 336! This changes the value of the original problem. Always multiply both numbers 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 we multiply both numbers by 10?

We multiply both the dividend and divisor by 10 to eliminate the decimal in the divisor. This keeps the division equivalent but makes it easier to calculate!

What if the divisor has more decimal places?

Count the decimal places in the divisor and multiply both numbers by that power of 10. For 0.01, multiply by 100. For 0.001, multiply by 1000.

Can I just move the decimal points instead?

Yes! Moving the decimal point is the same as multiplying by powers of 10. Just remember to move both decimal points the same number of places in the same direction.

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

Count the decimal places in the divisor. Since 0.1 has 1 decimal place, move both decimal points 1 place to the right.

What if I get a different answer than the choices?

Double-check that you moved both decimal points correctly! The most common error is forgetting to adjust the dividend, which gives answers that are 10 times too big or too small.

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