Solve Decimal Division: 0.49 ÷ 0.1 Step-by-Step

Q: Why do I multiply both numbers by 10?

Multiplying both numbers by the same amount keeps the division equal! Think of it like simplifying a fraction - $ \frac{4}{2} = \frac{8}{4} $ because we multiplied both parts by 2.

Q: Can I just move the decimal points instead?

Yes! Moving the decimal point right is the same as multiplying by 10. Just remember to move the same number of places in both the dividend and divisor.

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

Look at the divisor (the number you're dividing by). Count its decimal places - that's how many places to move in both numbers.

Q: What if my answer doesn't match the multiple choice options?

Double-check that you moved the decimal the same number of places in both numbers. Also verify by multiplying: your answer × divisor should equal the original dividend.

Decimal Division with Eliminating Decimal Points

$0.49:0.1=$

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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 division easier

00:27 We'll divide between the new numbers and calculate the quotient

00:32 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

$0.49:0.1=$

Step-by-step solution

To solve the division of decimals $0.49 \div 0.1$ , follow these steps:

Step 1: Start by identifying the dividend ( $0.49$ ) and the divisor ( $0.1$ ).
Step 2: To simplify the division process, eliminate the decimal in the divisor. Multiply both the dividend and the divisor by 10. This gives: $(0.49 \times 10) \div (0.1 \times 10) = 4.9 \div 1$ .
Step 3: Perform the simple division with the new values: $4.9 \div 1 = 4.9$ .

Therefore, the result of $0.49 \div 0.1$ is $4.9$ .

Final Answer

$4.9$

Key Points to Remember

Essential concepts to master this topic

Rule: Multiply both numbers by same power of 10 to eliminate decimals
Technique: $0.49 \div 0.1$ becomes $4.9 \div 1$ when multiplying by 10
Check: $4.9 \times 0.1 = 0.49$ confirms our answer is correct ✓

Common Mistakes

Avoid these frequent errors

Only removing decimal from dividend, not divisor
Don't just change 0.49 to 49 while keeping 0.1 = wrong answer of 490! This completely changes the problem's value. 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 10?

Multiplying both numbers by the same amount keeps the division equal! Think of it like simplifying a fraction - $\frac{4}{2} = \frac{8}{4}$ because we multiplied both parts by 2.

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 example, if dividing by 0.01 (2 decimal places), multiply both by 100.

Can I just move the decimal points instead?

Yes! Moving the decimal point right is the same as multiplying by 10. Just remember to move the same number of places in both the dividend and divisor.

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

Look at the divisor (the number you're dividing by). Count its decimal places - that's how many places to move in both numbers.

What if my answer doesn't match the multiple choice options?

Double-check that you moved the decimal the same number of places in both numbers. Also verify by multiplying: your answer × divisor should equal the original dividend.

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