Solve: 5.5 Kilograms ÷ 10 People Equal Distribution Problem

Decimal Division with Equal Distribution

Sonia distributes 5.5 kilograms of apples among 10 people equally.

How many kg of apples 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

Sonia distributes 5.5 kilograms of apples among 10 people equally.

How many kg of apples does each person receive?

2

Step-by-step solution

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

  • Step 1: Understand the division required
  • Step 2: Perform the division calculation
  • Step 3: Compare with provided multiple-choice answers

Now, let's work through each step:

Step 1: Understand the division required
We are given 5.5 kg of apples that need to be distributed equally among 10 people. This means we need to divide the total apple weight by the number of people to find out how much each person receives.

Step 2: Perform the division calculation
We calculate how much each person receives by dividing 5.5 kg by 10:
5.510=0.55 \frac{5.5}{10} = 0.55
When dividing a number by 10, you effectively move the decimal point one position to the left.

Step 3: Compare with provided multiple-choice answers
The result of our division is 0.55 kg, which corresponds to choice 2.

Therefore, the solution to the problem is 0.55 0.55 kg, and each person receives this amount of apples.

3

Final Answer

0.55 0.55 kg

Key Points to Remember

Essential concepts to master this topic
  • Division Rule: Divide total amount by number of people for equal shares
  • Decimal Technique: Dividing by 10 moves decimal point one place left: 5.5 ÷ 10 = 0.55
  • Check: Verify by multiplication: 0.55 × 10 = 5.5 kg total ✓

Common Mistakes

Avoid these frequent errors
  • Moving decimal point the wrong direction when dividing by 10
    Don't move the decimal point right when dividing by 10 = getting 55 instead of 0.55! This makes the answer 100 times too large because you're multiplying instead of dividing. Always move the decimal point left when dividing by powers of 10.

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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When you divide by 10, you're making the number 10 times smaller. Moving the decimal point left reduces the place value of each digit, making the whole number smaller. Think: 55 ÷ 10 = 5.5!

How can I remember which way to move the decimal?

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Use this trick: Division makes numbers smaller, so move the decimal point left (towards smaller place values). Multiplication makes numbers bigger, so move right.

What if the division doesn't come out evenly?

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In real-world problems like this one, you might get a repeating decimal or need to round. For equal distribution problems, it's okay to have decimal answers like 0.55 kg per person.

Can I check my answer without multiplication?

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Yes! Think logically: if 10 people each get 0.55 kg, does that seem reasonable for 5.5 kg total? 0.55 × 10 = 5.5, so it checks out perfectly!

Why is 0.5 kg wrong if it's close to 0.55 kg?

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In math, close isn't correct! 0.5 kg per person would only distribute 5.0 kg total (0.5 × 10), leaving 0.5 kg of apples undistributed. Every decimal place matters!

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