Order numbers up to 100,000 | Year 5 Mathematics PDF Download

Understanding Place Value in Numbers

• Place value is a fundamental concept that helps us understand the relative worth of digits within a number. It is crucial for tasks like ordering numbers correctly. 
• Several methods can aid in grasping the concept of place value:
  • Using place value charts
  • Utilizing part-whole models
  • Employing base 10 counters
• These can assist in determining whether one number is larger or smaller than another.

Examples

Example: 1

Let's arrange the following numbers in ascending order:

Let's break down the numbers represented:

• A consists of 3 ten thousands, 4 thousands, 1 hundred, 2 tens, and 1 one, totaling 34,121.
• B is already written as a number - 32,769.
• C comprises 3 ten thousands, 3 thousands, 2 hundreds, 2 tens, and 1 one, totaling 33,221.

All numbers fall within the thirty-thousands range. To compare them, we look at the thousands column:

• A: 34,121
• B: 32,769
• C: 33,221

Understanding place value is crucial in correctly ordering numbers and performing various mathematical operations. It provides a foundational understanding of the numerical system.
When comparing numbers, focusing on the thousands place is crucial. The value in the thousands place determines the magnitude of the number.
By comparing the thousands place, you can arrange numbers in ascending order. If the thousands are equal, then move on to the hundreds place for comparison.

Example: 2

Let's consider an example where we need to arrange numbers in descending order:

In this scenario, we have three representations: counters, a place value chart, and a number line.
Let's analyze each one:

• A - Counters: 41,212. Counters represent 4 ten thousands, 1 thousand, 2 hundreds, 1 ten, and 2 ones - 41,212.
• B - Place Value Chart: 41,231. The place value chart displays 4 ten thousands, 1 thousand, 2 hundreds, 3 tens, and 1 one - 41,231.
• C - Number Line: 41,150. The number line estimation suggests the value is approximately 41,150.

Since all the numbers have the same ten thousands and thousands, compare the hundreds place.
A and B have the same hundreds, so next compare the tens place.
The numbers in descending order are: