Numbers to 1000 | Year 3 Mathematics PDF Download

Understanding Place Value

• Place value is a fundamental concept in mathematics that helps us understand the value of digits in a number.
• Each digit's position within a number determines its value.
• We commonly use headings like 'ones', 'tens', 'hundreds', and 'thousands' to represent place values.

Solved Examples

Example 1: How do you represent the number 167 with a place value chart?
Sol:  The number 167 consists of the digits 1, 6, and 7.
We can break down 167 into 1 hundred, 6 tens, and 7 ones.

In other words, 1 hundred, 6 tens and 7 ones.
A place value chart can utilize dots to represent digits. For 167, this would mean:

• Place value chart: A place value chart can use dots to represent digits, where each dot corresponds to a specific value. For instance, 1 hundred, 6 tens, and 7 ones can be represented using dots.
  
• Base 10 blocks: Base 10 blocks can be used to represent a number. A 10 x 10 square block represents one hundred, a 10 x 1 row represents one ten, and an individual block represents one unit.
  
• Place value counters: Counters can also be used to represent a number. You can use a counter for each hundred, each ten, and each one.

Example 2: Let's rearrange the digits 1, 6 and 7 into 671 to see how it changes the number.
Sol: 
Base 10
Place value counters
The same digits have been used but they are in a different order. Their value completely changes.

Example 3: Ellie wants to show the number 345 using place value counters. Can you help her?
Sol: The first thing you need to do is partition the number. That's 3 hundreds, 4 tens and 5 ones.
Now put them together to represent 345.