2. Place Value for Base-10 Numbers
The previous topic taught the learner how to count from 20 to 120. In the process, the learner was exposed to the pattern of how two and three digit numbers are written as they are counted. This topic formalizes the pattern.
From counting from 10 to 120, you have seen that numbers have one or more digits, depending on how large the number is.
A place is a position of a digit in a number:
A one digit number contains a ones place.
A two digit number contains a tens place (in the left position) and a ones place (in the right position).
A three digit number contains a hundreds place (in the left position), a tens place (in the middle position), and a ones place (in the right position).
In a base-10 number, each place contains a digit 0 to 9.
What the places tell you
The ones place says how many ones the number contains.
The tens place says how many tens the number contains.
The hundreds place says how many hundreds the number contains.
The total of any place is known as that place's value.
Examples
The number 28
| Tens place | Ones place |
|---|---|
| 2 | 8 |
| Two tens | eight ones |
The number 56
| Tens place | Ones place |
|---|---|
| 5 | 6 |
| Five tens | six ones |
The number 682
| Hundreds place | Tens place |
|---|---|
| 6 | 8 |
| Six hundreds | Eight tens |
The number 682
| Hundreds place | Tens place |
|---|---|
| 6 | 8 |
| Six hundreds | Eight tens |
Problems
These problems are an application of the examples above.
Problem 1
For the number 28, create a chart (as shown in the above examples) containing the tens place and hundreds place.
Problem 2
For the number 529, create a chart (as shown in the above examples) containing the hundreds place, tens place, and hundreds place.