Convert between place values

key notes :

🔑 Key Concepts

Place Value: The value of a digit depends on its position in a number.

• Example: In 4,532, the digit 5 is in the hundreds place, so its value is 500.

Each place is 10 times greater than the place to its right.

• 1 ten = 10 ones
• 1 hundred = 10 tens
• 1 thousand = 10 hundreds

Each place is 1/10 of the place to its left.

• 1 ten = 1/10 of 1 hundred
• 1 hundred = 1/10 of 1 thousand

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🔄 Converting Between Place Values

From	To	Multiply or Divide
Ones to Tens	Divide by 10	100 ÷ 10 = 10
Tens to Hundreds	Divide by 10	400 ÷ 10 = 40
Hundreds to Tens	Multiply by 10	30 × 10 = 300
Thousands to Hundreds	Multiply by 10	5 × 10 = 50

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🧮 Examples

1. Convert 400 tens to hundreds:
   ➤ 400 ÷ 10 = 40 hundreds
2. Convert 6 thousands to hundreds:
   ➤ 6 × 10 = 60 hundreds
3. Convert 200 ones to tens:
   ➤ 200 ÷ 10 = 20 tens

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📌 Remember

• Multiply when moving left to right (to a smaller place).
• Divide when moving right to left (to a larger place).

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📝 Practice Questions

1. Convert 700 ones into tens.
2. How many hundreds are there in 3,000?
3. Convert 90 tens into ones.
4. How many tens in 6 hundreds?

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🎯 Learning Check

✅ Can you explain how 1,000 is related to 100?
✅ Can you convert between any two place values?

1 hundred = 10 tens = 100 ones

1 ten thousand

= 10 thousands = 100 hundreds = 1,000 tens = 10,000 ones

1 thousand

= 10 hundreds = 100 tens = 1,000 ones

Learn with an example

Let’s practice!