Divide $30.90 by 10: Calculate Equal Share Distribution

Decimal Division with Equal Distribution

I have $30.9 and divide it equally among 10 people.

How much does each person receive?

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Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

I have $30.9 and divide it equally among 10 people.

How much does each person receive?

2

Step-by-step solution

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

  • Step 1: Identify the given information
  • Step 2: Convert the monetary amount, if necessary
  • Step 3: Perform the division

Now, let's work through each step:
Step 1: The total amount to be divided is 30.9,andthereare10peopletosharethisamountequally.<br>Step2:Theamountisgiveninitsdecimalform,soitisreadyfordivision.<br>Step3:Tofindtheamounteachpersonreceives,divide30.9, and there are 10 people to share this amount equally.<br> Step 2: The amount is given in its decimal form, so it is ready for division.<br> Step 3: To find the amount each person receives, divide 30.9 by 10:

30.9÷10=3.09 30.9 \div 10 = 3.09

Therefore, each person will receive 3.09 3.09 dollars.

The correct choice from the provided options is: Choice 3, which is 3.09 3.09 . This choice is correct as it matches our calculated result.

3

Final Answer

\( 3.09

Key Points to Remember

Essential concepts to master this topic
  • Division Rule: When dividing by 10, move decimal point one place left
  • Technique: 30.9÷10=3.09 30.9 \div 10 = 3.09 by shifting decimal position
  • Check: Multiply answer by divisor: 3.09×10=30.9 3.09 \times 10 = 30.9

Common Mistakes

Avoid these frequent errors
  • Forgetting to account for decimal places when dividing
    Don't just divide 309 by 10 to get 30.9 = wrong placement! This ignores the original decimal position in 30.9. Always track where the decimal point belongs in both the dividend and quotient.

Practice Quiz

Test your knowledge with interactive questions

\( \text{0}.07\times10= \)

FAQ

Everything you need to know about this question

Why does dividing by 10 move the decimal point left?

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Dividing by 10 makes numbers 10 times smaller. Moving the decimal point one place to the left achieves this: 30.9 30.9 becomes 3.09 3.09 .

How do I know where to put the decimal point in my answer?

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Count the decimal places! 30.9 30.9 has 1 decimal place. When dividing by 10, your answer should also make sense: each person gets less than the total.

What if I get confused about which direction to move the decimal?

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Remember: Division makes numbers smaller, so the decimal moves left. Multiplication makes numbers bigger, so it moves right.

Can I check my answer a different way?

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Yes! Add up all the shares: 3.09+3.09+... 3.09 + 3.09 + ... (10 times) should equal 30.90 30.90 . Or multiply: 3.09×10=30.9 3.09 \times 10 = 30.9 .

Why is the answer 3.09andnot3.09 and not 3.9?

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Money amounts need two decimal places for cents! 3.09 3.09 means 3 dollars and 9 cents, while 3.9 3.9 looks like 3 dollars and 90 cents.

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