Lesson: Number Place Value

Place value is the value of a digit based on its position in a number. Understanding place value helps us read and write large numbers and understand how numbers work.

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Understanding Place Value

Each digit in a number has a place, and the place tells us how much that digit is worth.

• Ones place: This is where single digits (1-9) are found.
  Example: In the number 45, the 5 is in the ones place.
• Tens place: This shows how many groups of ten are in the number.
  Example: In the number 45, the 4 is in the tens place, which means 40.
• Hundreds place: This tells us how many groups of one hundred are in the number.
  Example: In the number 345, the 3 is in the hundreds place, which means 300.

Each place increases by ten times as we move left (ones, tens, hundreds, thousands, and so on).

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Place Value Matching

When we match digits to their place values, we break the number down.

• Example: In the number 752, the 7 is in the hundreds place (700), the 5 is in the tens place (50), and the 2 is in the ones place (2).

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Place Value Exploration

We can explore place value by building numbers from digits. Understanding that a number like 632 means 600 + 30 + 2 is key to knowing how place value works.

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Place Value Mastery

To master place value, practice breaking down numbers and building them back up.
For example, if you have the number 824:

• The 8 is in the hundreds place (800),
• The 2 is in the tens place (20),
• The 4 is in the ones place (4).