Solve for the Missing Factor: 12.33 × ? = 1233

Q: Why do I divide 1233 by 12.33 instead of the other way around?

In the equation $ 12.33 \times ? = 1233 $, we need to isolate the unknown. Since 12.33 is multiplied by our missing number, we divide both sides by 12.33 to get the answer.

Q: How can I tell if 100 is the right answer?

Always check your work by substituting back! Calculate $ 12.33 \times 100 $. If you get 1233, your answer is correct!

Q: What if I get a different answer when I check?

If your check doesn't work, review your division. Common errors include decimal point placement or calculation mistakes. Try the division again step by step.

Q: Is there a pattern I can notice in this problem?

Yes! Notice that 1233 is exactly 100 times larger than 12.33. This makes sense because $ 12.33 \times 100 = 1233 $.

Division with Decimal Numbers

$12.33\times?=1233$

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:00 Find the unknown

00:04 Multiply by the factor to find the unknown

00:11 Move the point, determine the number of zeros based on the number of shifts

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

$12.33\times?=1233$

Step-by-step solution

To solve this problem, we'll follow these steps:

Step 1: Identify the equation given in the problem
Step 2: Solve for the unknown variable $x$

Now, let's work through each step:
Step 1: The problem asks us to find the value of $x$ in the equation $12.33 \times x = 1233$ .
Step 2: To isolate $x$ , divide both sides by 12.33:

$x = \frac{1233}{12.33}$

Calculate the division:

$x \approx 100$

Therefore, the solution to the problem is $\boxed{100}$ . Given the multiple-choice options, the correct answer matches choice 2: $100$ .

Final Answer

$100$

Key Points to Remember

Essential concepts to master this topic

Rule: To find missing factor, divide product by known factor
Technique: Calculate $\frac{1233}{12.33} = 100$ using division
Check: Verify by multiplying: $12.33 \times 100 = 1233$ ✓

Common Mistakes

Avoid these frequent errors

Incorrectly placing decimal point in division
Don't just divide 1233 by 1233 ignoring decimals = wrong placement! This happens when students don't align decimal points properly during division. Always set up division carefully with decimal alignment.

Practice Quiz

Test your knowledge with interactive questions

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

FAQ

Everything you need to know about this question

Why do I divide 1233 by 12.33 instead of the other way around?

In the equation $12.33 \times ? = 1233$ , we need to isolate the unknown. Since 12.33 is multiplied by our missing number, we divide both sides by 12.33 to get the answer.

How do I divide by a decimal number like 12.33?

You can use long division or a calculator. If doing by hand, multiply both numbers by 100 to make it easier: $\frac{1233}{12.33} = \frac{123300}{1233}$

How can I tell if 100 is the right answer?

Always check your work by substituting back! Calculate $12.33 \times 100$ . If you get 1233, your answer is correct!

What if I get a different answer when I check?

If your check doesn't work, review your division. Common errors include decimal point placement or calculation mistakes. Try the division again step by step.

Is there a pattern I can notice in this problem?

Yes! Notice that 1233 is exactly 100 times larger than 12.33. This makes sense because $12.33 \times 100 = 1233$ .

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