Solve Decimal Division: 1.3 ÷ 0.1 Step-by-Step

Q: Why does dividing by 0.1 give a bigger number than 1.3?

When you divide by a number smaller than 1, the result gets bigger! Think of it this way: How many 0.1s fit into 1.3? Since 0.1 is small, many of them fit, giving us 13.

Q: Can I just count decimal places instead?

Yes! Count the decimal places in the divisor (0.1 has 1), then move the decimal point that many places to the right in both numbers. $ 1.3 ÷ 0.1 $ becomes $ 13 ÷ 1 $.

Q: What if I forget to move the decimal in both numbers?

You'll get the wrong answer! Both the dividend and divisor must have their decimal points moved the same number of places. This keeps the division equivalent to the original problem.

Q: How do I remember that 0.1 means multiply by 10?

Think of it as fractions: $ 0.1 = \frac{1}{10} $, so dividing by $ \frac{1}{10} $ is the same as multiplying by 10. It's like asking "how many tenths are in this number?"

Q: Will this method work for any decimal division?

Absolutely! Count the decimal places in the divisor, move both decimal points that many places right, then divide normally. This works for any decimal division problem.

Decimal Division with Place Value Movement

$1.3:0.1=$

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:00 Solve

00:04 We'll multiply each factor by 10 to make division easier

00:19 We'll divide between the new numbers and calculate the quotient

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

00:25 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

$1.3:0.1=$

Step-by-step solution

To solve the problem of $1.3 \div 0.1$ , we need to simplify the division process by eliminating the decimal point in the divisor using the following steps:

Step 1: Recognize that dividing by 0.1 is equivalent to multiplying by 10. This is because 0.1 is the same as $\frac{1}{10}$ , so dividing by 0.1 is the same as multiplying by 10.
Step 2: Multiply both the dividend (1.3) and the divisor (0.1) by 10 to move the decimal point one place to the right for each number. This changes 1.3 to 13 and 0.1 to 1.
Step 3: Perform the division $13 \div 1$ . As dividing by 1 leaves any number unchanged, we have the result 13.

Therefore, the solution to the problem $1.3 \div 0.1$ is $13$ .

Final Answer

$13$

Key Points to Remember

Essential concepts to master this topic

Rule: Dividing by 0.1 is the same as multiplying by 10
Technique: Move decimal points right: 1.3 ÷ 0.1 becomes 13 ÷ 1
Check: Verify 13 × 0.1 = 1.3, confirming our answer ✓

Common Mistakes

Avoid these frequent errors

Moving decimal points incorrectly or in wrong directions
Don't move the decimal point left in the dividend when the divisor has decimals = makes numbers smaller instead of eliminating decimals! This leads to answers that are too small. Always move both decimal points the same number of places to the right.

Practice Quiz

Test your knowledge with interactive questions

$$ 0.121:0.1= $$

FAQ

Everything you need to know about this question

Why does dividing by 0.1 give a bigger number than 1.3?

When you divide by a number smaller than 1, the result gets bigger! Think of it this way: How many 0.1s fit into 1.3? Since 0.1 is small, many of them fit, giving us 13.

Can I just count decimal places instead?

Yes! Count the decimal places in the divisor (0.1 has 1), then move the decimal point that many places to the right in both numbers. $1.3 ÷ 0.1$ becomes $13 ÷ 1$ .

What if I forget to move the decimal in both numbers?

You'll get the wrong answer! Both the dividend and divisor must have their decimal points moved the same number of places. This keeps the division equivalent to the original problem.

How do I remember that 0.1 means multiply by 10?

Think of it as fractions: $0.1 = \frac{1}{10}$ , so dividing by $\frac{1}{10}$ is the same as multiplying by 10. It's like asking "how many tenths are in this number?"

Will this method work for any decimal division?

Absolutely! Count the decimal places in the divisor, move both decimal points that many places right, then divide normally. This works for any decimal division problem.

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