Divide $500.90 Among 100 People: Equal Distribution Problem

Division Problems with Decimal Place Values

$500.9 is distributed equally among 100 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

$500.9 is distributed equally among 100 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: Apply the appropriate formula
  • Step 3: Perform the necessary calculations

Now, let's work through each step:
Step 1: We have a total amount of 500.9 to be distributed among 100 people.
Step 2: To find out how much each person receives, we need to divide the total amount by the number of people: \( 500.9 \div 100 .
Step 3: Perform the division:
To divide 500.9 500.9 by 100 100 , we can move the decimal point in 500.9 500.9 two places to the left (because 100 has two zeros). This means 500.95.009 500.9 \rightarrow 5.009 .

Therefore, each person receives \5.009 \).

3

Final Answer

\( 5.009

Key Points to Remember

Essential concepts to master this topic
  • Rule: Dividing by 100 moves decimal point two places left
  • Technique: 500.9÷100 500.9 ÷ 100 becomes 5.009 by shifting decimals
  • Check: Multiply answer by divisor: 5.009×100=500.9 5.009 × 100 = 500.9

Common Mistakes

Avoid these frequent errors
  • Moving decimal point wrong direction or wrong number of places
    Don't move decimal right or only one place = massive error like getting 50.09insteadof50.09 instead of 5.009! This happens when students confuse division with multiplication rules. Always move decimal left when dividing by powers of 10, and count zeros to know how many places.

Practice Quiz

Test your knowledge with interactive questions

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

FAQ

Everything you need to know about this question

Why do I move the decimal point left when dividing?

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When dividing by 10, 100, 1000, you're making the number smaller, so the decimal moves left. Think of it as the opposite of multiplication - multiplying moves decimals right, dividing moves them left!

How do I know how many places to move the decimal?

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Count the zeros in the divisor! Dividing by 100 has 2 zeros, so move 2 places left. Dividing by 1000 has 3 zeros, so move 3 places left.

What if I don't have enough decimal places to move left?

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Add zeros to the left of your number as needed! For example: 5.9÷1000 5.9 ÷ 1000 becomes 0.0059 by adding zeros.

How can I check if my decimal division is correct?

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Multiply your answer by the original divisor - you should get back to your starting number! Like 5.009×100=500.9 5.009 × 100 = 500.9

Does this work with money problems too?

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Absolutely! Money uses decimals, so the same rules apply. Just remember that money usually rounds to 2 decimal places (cents), but in math problems, keep all decimal places unless told otherwise.

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