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?

Place value chart with five columns labelled ten thousands, one thousands, hundreds, tens, and ones

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.

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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.

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

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.

Place Value Chart

Press the Activity button to access the Place Value Chart.

Activity (Open PDF in a new tab)

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.

place value chart for the population of Kingston with 114,195

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.