Solve for the Unknown Factor: ? × 10 = 3.3

Q: What if I get 0.3 instead of 0.33?

This means you didn't perform the division carefully. $ \frac{3.3}{10} $ equals 0.33, not 0.3. Remember that 3.3 has two digits, so your answer should reflect that precision.

Q: Is there a pattern for dividing by powers of 10?

Yes! Dividing by 10 moves decimal one place left, dividing by 100 moves it two places left, and so on. The number of zeros tells you how many places to move.

Q: What if my calculator shows a different answer?

Make sure you're entering the division correctly: 3.3 ÷ 10. Some calculators might show 0.33000... with extra zeros, but 0.33 is the correct simplified form.

Division by Powers of Ten with Decimal Results

$?\times10=3.3$

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:00 Find the unknown

00:05 Divide by the factor to find the unknown

00:12 Move the decimal point according to the number of zeros, and we'll find the unknown

00:22 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

$?\times10=3.3$

Step-by-step solution

To find the missing number that, when multiplied by 10, equals 3.3, let's follow these steps:

Step 1: Start with the equation $x \times 10 = 3.3$ .
Step 2: To isolate $x$ , divide both sides of the equation by 10:

$x = \frac{3.3}{10}$

Step 3: Perform the division. Dividing 3.3 by 10 effectively shifts the decimal point one place to the left:

$x = 0.33$

Therefore, the solution to the equation is $x = 0.33$ .

This matches choice 4: $0.33$ .

Final Answer

$0.33$

Key Points to Remember

Essential concepts to master this topic

Rule: To solve multiplication equations, divide both sides by the coefficient
Technique: Dividing by 10 moves decimal point one place left: $\frac{3.3}{10} = 0.33$
Check: Substitute back into original equation: $0.33 \times 10 = 3.3$ ✓

Common Mistakes

Avoid these frequent errors

Confusing decimal place movement when dividing by 10
Don't move the decimal point right when dividing by 10 = gives 33.0 instead of 0.33! This happens because students think "multiply by 10 moves right, so divide moves right too." Always remember: dividing by 10 moves the decimal point one place to the LEFT.

Practice Quiz

Test your knowledge with interactive questions

$0.26\times10=$

FAQ

Everything you need to know about this question

Why does dividing by 10 move the decimal point left?

Think of it this way: when you divide by 10, you're making the number smaller. Moving the decimal point left makes 3.3 become 0.33, which is indeed smaller!

What if I get 0.3 instead of 0.33?

This means you didn't perform the division carefully. $\frac{3.3}{10}$ equals 0.33, not 0.3. Remember that 3.3 has two digits, so your answer should reflect that precision.

How can I check my decimal division?

Always multiply your answer by the divisor to get back the original number. If $0.33 \times 10 = 3.3$ , then your division was correct!

Is there a pattern for dividing by powers of 10?

Yes! Dividing by 10 moves decimal one place left, dividing by 100 moves it two places left, and so on. The number of zeros tells you how many places to move.

What if my calculator shows a different answer?

Make sure you're entering the division correctly: 3.3 ÷ 10. Some calculators might show 0.33000... with extra zeros, but 0.33 is the correct simplified form.

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