Numbers to 1 000 000

Number Sense:
Numbers to 1 000 000

What is a number?

A number is a count or measurement that is really an idea in our minds.

We write or talk about numbers using numerals such as "4" or "four". But we could also hold up 4 fingers, or tap the ground 4 times. These are all different ways of referring to the same number.

What is a numeral?

A numeral is a symbol or name that stands for a number.


Example: 3, 49, and twelve are all numerals.


So the number is an idea, the numeral is how we write it.

What is a digit?

A digit is a single symbol used to make numerals.

0, 1, 2, 3, 4, 5, 6, 7, 8 and 9 are the ten digits we use in everyday numerals.

The value of a digit is understood through its position in place value.

As a digit's place value moves more to the left in this chart its value increases. A 9 may be a larger digit than a 1, but if the 9 is in the ones place and the 1 is in the tens place the 1 will have a greater value.

1

9

​1 ten = 10 ones

9 ones = 9 ones

As we move from the ones place the value increases by ten times for each place to the left you move.

A 5 in the ones place has a value of 5. A 5 in the tens place has a value of 50 (50 ones). A 5 in the hundreds place has a value of 500 (500 ones).

4

5

3

2

1

Multiple Choice

What is the value of the underlined digit?

45 682

• 5

• 50

• 5000

• 500

Multiple Choice

What is the value of the underlined digit?

6 405 512

• 100

• 1 000 000

• 1

• 10

We can represent numbers in different ways.

Standard Form: This is the normal way we are used to seeing numbers.

ex. 15
489 654
2 540 651

We can represent numbers in different ways.

Word Form: Using words to represent numbers.

ex. 15 = fifteen
489 654 = Four hundred eighty-nine
thousand six hundred fifty-four

We can represent numbers in different ways.

Expanded Form: Adding the value of each place value spot together.

ex. 15 = 10 + 5
489 654 = 400 000 + 80 000 + 9000 + 600 +50 + 4

Multiple Choice

What is the correct expanded form for:

4506

• 4000 + 500 + 6

• 4000 + 506

• 4000 + 500 + 00 + 6

• four thousand five hundred six

Multiple Choice

What is the correct expanded form for:

88 640

• 88 000 + 600 + 40

• 8000+ 600 + 40 + 80 000

• 80 000 + 8000 + 600 + 40 + 0

• 80 000 + 8000 + 600 + 40

Categorize

Options (9)

6541

55 032

654 208

forty-eight

nine hundred sixteen thousand two hundred five

three hundred twenty-two

400 + 50 + 6

60 000 + 5000 + 60 + 8

6000 + 40 + 1

Sort the number forms into the correct categories.

Standard Form

Word Form

Expanded Form

​Each counter in this place value chart adds value to the number being represented.

We can express this value as a numeral: 39 057

Fill in the Blanks

Draw

Draw a line where you would place 56 456.

Draw

Draw a line where you would place 30 632.

Draw

Draw a line where you would place 95 745.

Draw

Draw a line where you would place 41 288.

Reorder

From least value to greatest value.

• 55

• 409

• 456

• 6099

• 6785

1

2

3

4

5

• 1
• 2
• 3
• 4
• 5

Reorder

From greatest value to least value.

• 54 215

• 53 999

• 50 606

• 10 000

• 9999

1

2

3

4

5

• 1
• 2
• 3
• 4
• 5

Multiple Choice

What symbol should go in the [ ] to make the statement true.

456 [ ] 459

• >

• =

• <

Multiple Choice

What symbol should go in the [ ] to make the statement true.

36 009 [ ] 35 999

• >

• =

• <

Multiple Choice

What symbol should go in the [ ] to make the statement true.

89 [ ] 893

• >

• =

• <

Multiple Choice

What symbol should go in the [ ] to make the statement true.

1111 [ ] 9000

• >

• =

• <

Multiple Choice

What symbol should go in the [ ] to make the statement true.

12 345 [ ] 12 345

• >

• =

• <

Multiple Choice

What symbol should go in the [ ] to make the statement true.

4321 [ ] 3987

• >

• =

• <

What is an expression?

Numbers, symbols and operators (such as + and ×) grouped together that show the value of something.

Example:
• 2 + 3 is an expression

Note: an expression does not have an equals sign.

What is an expression?

12 + 5 is an addition expression equivalent to 17.

10 - 3 is a subtraction expression equivalent to 7.

4521 + 12 521 is an addition expression equivalent to 17 042.

Open Ended

Write an addition expression equivalent to 100.

Open Ended

Write a subtraction expression equivalent to 20.

Open Ended

Write an addition expression equivalent to 123 456.