Minds On
Hundred thousands and ten thousands place values
Imagine you wish to purchase tickets for a local charity sports game in a mid-sized arena in a big city. The number of tickets that will be available for sale is the biggest number possible that can be expressed using this place value chart. Determine the number of tickets available for sale. What is the biggest number you can form up to and including the ten thousands place value?
In our lives we come across numbers that are in the ten thousands and even higher. You will be comparing numbers and writing numbers in expanded form up to 100,000, and solving problems requiring you to add or subtract whole numbers up to 100,000.
Action
Canadian population
Canadian city population sizes can vary from the 10 thousands to the 100 thousands. What is the population of your city or hometown?
Comparing populations
We can compare the populations of different cities using the greater than and less than symbols.
Examine the following to explore how to use the greater than and less than symbols.
Description
There are three columns. The first column heading is Symbol. Underneath that is the greater than symbol and in the next row is the less than symbol. The second column heading is Words. In the first row are the words greater than and in the second row the words are less than. The third column heading is Example. Underneath that, in the first row is 5000 then the greater than symbol and then the number 1200. In the second row is the number 100 then the less than symbol then the number 1000.
Examine the following list of approximate populations of some Canadian cities from the 2020 census.
| Brant, Ontario 32,415 | Thunder Bay, Ontario 99,334 |
| Dartmouth, Nova Scotia 100,000 | Le Plateau, Quebec 15,000 |
| Strathmore, Alberta 10,009 | Fort Erie, Ontario 15,953 |
| Stratford, Ontario 30,233 | Medicine Hat, Alberta 63,168 |
| Uxbridge, Ontario 11,531 | Newmarket, Ontario 74,295 |
| Kamloops, British Columbia 68,714 | St. Thomas, Ontario 36,110 |
| Owen Sound, Ontario 22,625 | Hanceville, Ontario 10,000 |
| Cobourg, Ontario 18,099 | Belleville, Ontario 49,454 |
Try it
Try it
According to the 2020 Census, the approximate population of Brant, Ontario was 32,415.
Choose a different city from the list and use the greater than or less than symbols to compare its population to the population of Brant, Ontario.
- Which is the larger the population of your chosen city, or Brant, Ontario?
- Is the population of your chosen city greater than or less than 50,000?
Comparing using place value
Choose 3 cities from the list of Canadian city populations.
Enter their populations into a place value chart to compare the different populations.
Press ‘Hint’ to access a description of how to use a place value chart to compare numbers.
- Start by examining the largest place value for all numbers
- If the numbers are the same, move to the next place value to the right and compare those numbers
- Continue comparing place values until you find numbers that are not equal
- The largest numbers represent the largest values
Description
A place value mat from Hundred Thousands down to Ones. In the chart are the numbers 32, 415 and 36, 110. An arrow labeled Brant, Ontario points to 32, 415. An arrow labeled St. Thomas, Ontario points to 36, 110. A circle is drawn the Thousands column including the numbers 2 and 6. Below the chart it reads: The ten thousands values are the same. The thousands values are different. 6000 > 2000
Complete the Place Value Chart in your notebook or using the following fillable and printable document. If you would like, you can use speech-to-text or audio recording tools to record your thoughts.
Press the ‘Activity’ button to access the Place Value Chart.
Activity
(Open PDF in a new window)
Test Your Skills
Test your skills
Order the populations from smallest to largest.
Decomposing numbers helps us understand the value of large numbers.
We can decompose large numbers by expressing them in expanded form.
To express a number in expanded form, we break down the different place values.
Examine the following place value chart showing the approximate population of Kingston, Ontario as reported in the 2020 Census.
We can use the place value chart to help us express the population of Kingston in expanded form.
The expanded form is:
100,000 + 10,000 + 4000 + 100 + 90 + 5
Try it
Try it
Choose 2 populations from the list of 2020 Census data.
Express each population in expanded form.
Record your thinking in print, digitally or with an audio recording.
Consolidation
Ordering numbers
Choose 3 numbers that are larger than 10,000.
Order the numbers from smallest to largest.
Explain how you know that you have ordered the numbers from smallest to largest.
Pause and Reflect
Pause and reflect
Where might you encounter these large numbers in everyday life?
Record your ideas in print, orally or using an audio recording.
Reflection
As you read through these descriptions, which sentence best describes how you are feeling about your understanding of this learning activity? Press the button that is beside this sentence.
I feel...
Now, record your ideas using a voice recorder, speech-to-text, or writing tool.
Learning goals
We are learning to…
- read, represent, compose, and decompose whole numbers up to and including 100,000, using various strategies and describe ways they are used in everyday life
- compare and order whole numbers up to and including 100,000
Success criteria
I am able to…
- read, order and compare whole numbers up to 100,000
- use a place value chart to compose and decompose whole numbers up to 100,000
- represent whole numbers up to 100,00 in expanded form
- describe various ways numbers up to 100,000 are used in everyday life