Understanding Place Value

Place Value Chart

Each place in a number is 10 times the value of the place to its right.

| Millions | Hundred Thousands | Ten Thousands | Thousands | Hundreds | Tens | Ones | |---|---|---|---|---|---|---| | 1,000,000 | 100,000 | 10,000 | 1,000 | 100 | 10 | 1 |

Reading Numbers

The number 4,523 means:

• 4 thousands = 4,000
• 5 hundreds = 500
• 2 tens = 20
• 3 ones = 3

So $4,523 = 4,000 + 500 + 20 + 3$

This is called expanded form.

Comparing Numbers

Use place value to compare numbers from left to right:

• $3,456 < 3,789$ because in the hundreds place, $4 < 7$

Symbols: $<$ (less than), $>$ (greater than), $=$ (equal to)

Patterns with 10

• $30 \times 10 = 300$ (the digit moves one place to the left)
• $4,000 \div 10 = 400$ (the digit moves one place to the right)

Practice: Write 7,305 in expanded form: $7,000 + 300 + 0 + 5$