Solve Decimal Multiplication: 0.26 × 10 Step-by-Step

Q: Why does the decimal point move right when multiplying by 10?

Multiplying by 10 makes numbers ten times larger. Moving the decimal point right increases the place value of each digit, making the whole number bigger!

Q: What if I'm multiplying by 100 or 1000?

Move the decimal point one place right for each zero! For 100 (two zeros), move two places right. For 1000 (three zeros), move three places right.

Q: What happens if there aren't enough decimal places to move?

Add zeros to the right as needed! For example: $ 0.5 \times 100 $ becomes $ 50.0 $ or just $ 50 $.

Q: Can I use this shortcut for dividing by 10 too?

Yes, but move the decimal point left when dividing! Division by 10 makes numbers smaller, so the decimal moves in the opposite direction.

Q: How do I remember which direction to move the decimal?

Think bigger or smaller: Multiplication makes bigger (move right), division makes smaller (move left). The decimal follows the same pattern!

Decimal Multiplication with Powers of Ten

$0.26\times10=$

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:00 Solve

00:03 According to the amount of zeros, move the decimal point

00:08 Move the decimal point according to the number of zeros

00:17 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

$0.26\times10=$

Step-by-step solution

We will solve the problem by multiplying $0.26$ by $10$ . When multiplying a decimal by $10$ , the decimal point moves one place to the right.

Let's follow the steps:

Recognize our initial number: $0.26$ .
To multiply by $10$ , shift the decimal point one position to the right. This changes $0.26$ to $2.6$ .

Therefore, multiplying $0.26$ by $10$ gives us the result $2.6$ .

The solution to the problem is $2.6$ .

Final Answer

$2.6$

Key Points to Remember

Essential concepts to master this topic

Rule: Multiplying by 10 moves decimal point one place right
Technique: Transform $0.26 \times 10$ to $2.6$ by shifting decimal
Check: Count decimal places: 0.26 has 2 places, result 2.6 has 1 place ✓

Common Mistakes

Avoid these frequent errors

Moving decimal point the wrong direction
Don't move the decimal point left when multiplying by 10 = 0.026 instead of 2.6! This makes the number smaller instead of larger. Always move the decimal point right when multiplying by powers of ten.

Practice Quiz

Test your knowledge with interactive questions

$\text{0}.07\times10=$

FAQ

Everything you need to know about this question

Why does the decimal point move right when multiplying by 10?

Multiplying by 10 makes numbers ten times larger. Moving the decimal point right increases the place value of each digit, making the whole number bigger!

What if I'm multiplying by 100 or 1000?

Move the decimal point one place right for each zero! For 100 (two zeros), move two places right. For 1000 (three zeros), move three places right.

What happens if there aren't enough decimal places to move?

Add zeros to the right as needed! For example: $0.5 \times 100$ becomes $50.0$ or just $50$ .

Can I use this shortcut for dividing by 10 too?

Yes, but move the decimal point left when dividing! Division by 10 makes numbers smaller, so the decimal moves in the opposite direction.

How do I remember which direction to move the decimal?

Think bigger or smaller: Multiplication makes bigger (move right), division makes smaller (move left). The decimal follows the same pattern!

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