Convert between place values

key notes:

🔢 What Does “Convert Between Place Values” Mean?

• It means understanding how one place value is related to another.
• We can change (or convert) a digit’s value from one place to another by multiplying or dividing by 10, 100, or 1000.

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🧠 Place Value Relationship

Place Value	Is how many times of the one on the right?
Tens (10s)	10 × Ones
Hundreds (100s)	10 × Tens
Thousands	10 × Hundreds

✅ Example:

• 1 Hundred = 10 Tens
• 1 Thousand = 10 Hundreds = 100 Tens = 1000 Ones

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🔄 Convert Larger Place Value to Smaller Place Value

💡 Use multiplication when converting from larger to smaller:

Example	Solution
Convert 3 Hundreds to Tens	3 × 10 = 30 Tens
Convert 5 Thousands to Hundreds	5 × 10 = 50 Hundreds
Convert 7 Hundreds to Ones	7 × 100 = 700 Ones

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🔼 Convert Smaller Place Value to Larger Place Value

💡 Use division when converting from smaller to larger:

Example	Solution
Convert 40 Tens to Hundreds	40 ÷ 10 = 4 Hundreds
Convert 600 Ones to Hundreds	600 ÷ 100 = 6 Hundreds
Convert 500 Tens to Thousands	500 ÷ 100 = 5 Thousands

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🎯 Practice Questions

1. Convert 4 Hundreds to Ones
   👉 4 × 100 = 400 Ones
2. Convert 700 Ones to Hundreds
   👉 700 ÷ 100 = 7 Hundreds
3. How many Tens in 2 Thousands?
   👉 2,000 ÷ 10 = 200 Tens
4. Convert 80 Tens to Hundreds
   👉 80 ÷ 10 = 8 Hundreds

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✍️ Key Points to Remember

Understanding conversions helps in estimations, calculations, and place value fluency.

Moving left in the place value chart: divide by 10 each step.

Moving right in the place value chart: multiply by 10 each step.

To convert between place values :

Let’s practice!