Solve Decimal Division: Calculate 2.6 ÷ 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! It's like having $ \frac{26}{10} \div \frac{1}{10} = \frac{26}{1} $ - the 10's cancel out.

Q: 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!

Q: Can I just ignore the decimal and divide normally?

No! You must account for decimal placement. Always multiply both numbers by the same power of 10 to move decimals, then divide.

Q: What's the fastest way to divide by 0.1?

Dividing by 0.1 is the same as multiplying by 10! So $ 2.6 \div 0.1 = 2.6 \times 10 = 26 $.

Decimal Division with Single-Digit Divisors

$2.6:0.1=$

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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

00:23 Let's divide between the new numbers and calculate the quotient

00:31 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

$2.6:0.1=$

Step-by-step solution

To solve the division problem $2.6 \div 0.1$ , we can simplify the division by eliminating the decimal in the divisor:

Multiply both the dividend $2.6$ and the divisor $0.1$ by 10 to get rid of the decimal in the divisor. This gives $2.6 \times 10 = 26$ and $0.1 \times 10 = 1$ .
Now, the division simplifies to $26 \div 1$ .
Dividing $26$ by $1$ gives us $26$ .

Thus, the solution to the division problem $2.6 \div 0.1$ is $26$ .

Final Answer

$26$

Key Points to Remember

Essential concepts to master this topic

Rule: Multiply both dividend and divisor by same power of 10
Technique: Move decimal right one place: $2.6 \div 0.1 = 26 \div 1$
Check: Multiply answer by divisor: $26 \times 0.1 = 2.6$ ✓

Common Mistakes

Avoid these frequent errors

Moving decimal points different amounts
Don't move the decimal one place in 2.6 but two places in 0.1 = unequal multiplication! This changes the problem completely and gives wrong answers. Always multiply both numbers by the exact same power of 10.

Practice Quiz

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Solve the following exercise:

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! It's like having $\frac{26}{10} \div \frac{1}{10} = \frac{26}{1}$ - the 10's cancel out.

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 ignore the decimal and divide normally?

No! You must account for decimal placement. Always multiply both numbers by the same power of 10 to move decimals, then divide.

How do I know my answer makes sense?

Think logically: dividing by 0.1 means "how many tenths fit into 2.6?" Since 0.1 is smaller than 1, your answer should be larger than 2.6.

What's the fastest way to divide by 0.1?

Dividing by 0.1 is the same as multiplying by 10! So $2.6 \div 0.1 = 2.6 \times 10 = 26$ .

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Solve Decimal Division: Calculate 2.6 ÷ 0.1 Step-by-Step

Decimal Division with Single-Digit Divisors

❤️ Continue Your Math Journey!

Step-by-step video solution

Step-by-step written solution

Understand the problem

Step-by-step solution

Final Answer

Key Points to Remember

Common Mistakes

Practice Quiz

FAQ

Why do I multiply both numbers by 10?

What if the divisor has more decimal places?

Can I just ignore the decimal and divide normally?

How do I know my answer makes sense?

What's the fastest way to divide by 0.1?

🌟 Unlock Your Math Potential

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