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NUMBER SENSE & NUMERATION

TERM 1

MRSTAV

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NUMBER SENSE & NUMERATION

Represent whole numbers in expanded form using powers of 10

MRSTAV

CURRICULUM

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Table of Contents

Page #	Title	UNIT

# Expanded Form Using Powers of 10 NS

#

Expanded Form Using Powers of 10

NS

DO IT NOW

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__ __ __ __ __ __ __ __ __

__ __ __

ONES

__ __ __

THOUSANDS

ONES

TENS

HUNDREDS

ONES

TENS

HUNDREDS

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Standard Form

65 102.00

The way we usually write numbers.
They are in groups of 3 starting from the decimal
Use a SPACE and not a COMMA

Written Form

Sixty-Five Thousand One Hundred Two

Writing a number in words as we would say it
Don’t use the word “AND”

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Expanded Form Using Powers of 10

Using “ x 10^#” instead of writing all the zeroes

Expanded Form

60 000 + 5 000 + 100 + 2

Writing a number as the sum of the value of its digits.
We split the number up into the separate value of each digit and connect them with addition.

6 x 10⁴ + 5 x 10³ + 1 x 10² + 2

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10² = 100 10 to the power of ² is One Hundred (2 zero's after the 1)

10³ = 1,000 10 to the power of ³is One Thousand

10⁴ = 10,000 10 to the power ⁴is Ten Thousand (4 zero's after the 1)

10⁵ = 100,000 10 to the power of ⁵is One Hundred Thousand

10⁶= 1,000,000 10 to the power of ⁶is One Million (6 zero's after the 1)

POWERS OF 10

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60 000 + 5 000 + 100 + 2

What does 6 x 10 000 = ______________

60 000 + 5 000 + 100 + 2

(6 x 10 000) + ( ) + ( ) + ( )

5 x 1000

1 x 100

2

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60 000 + 5 000 + 100 + 2

(6 x 10 000) + ( ) + ( ) + ( )

5 x 1000

1 x 100

2

( ) + ( ) + ( ) + ( )

5 x 10

1 x 10

2

6 x 10

⁴

10² = 100 10 to the power of ² is One Hundred (2 zero's after the 1)

10³ = 1,000 10 to the power of ³is One Thousand

10⁴ = 10,000 10 to the power ⁴is Ten Thousand (4 zero's after the 1)

10⁵ = 100,000 10 to the power of ⁵is One Hundred Thousand

10⁶= 1,000,000 10 to the power of ⁶is One Million (6 zero's after the 1)

³

²

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STANDARD FORM

TO

EXPANDED FORM �USING POWERS OF 10

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8 249 405

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8 249 405

1

2

3

4

5

6

8

x 10

6

+

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8 249 405

1

2

3

4

5

8

x 10

6

+

2

x 10

5

+

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8 249 405

1

2

3

4

8

x 10

6

+

2

x 10

5

+

4

x 10

4

+

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8 249 405

1

2

3

8

x 10

6

+

2

x 10

5

+

4

x 10

4

+

9

x 10

3

+

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8 249 405

1

2

8

x 10

6

+

2

x 10

5

+

4

x 10

4

+

9

x 10

3

+

4

x 10

2

+

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8 249 405

1

8

x 10

6

+

2

x 10

5

+

4

x 10

4

+

9

x 10

3

+

4

x 10

2

+

0

x 10

1

+

0 multiplied by anything is?

0

MRSTAV

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8 249 405

1

8

x 10

6

+

2

x 10

5

+

4

x 10

4

+

9

x 10

3

+

4

x 10

2

+

0

Why even write a zero?

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8 249 405

8

x 10

6

+

2

x 10

5

+

4

x 10

4

+

9

x 10

3

+

4

x 10

2

+

5

x 10

NOTHING

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65 102

60 000 + 5 000 + 100 + 2

6 x 10⁴ + 5 x 10³ + 1 x 10² + 2

10 325 009

10 000 000 + 300 000 + 20 000 + 5 000 + 9

1 x 10⁷+ 3 x 10⁵ + 2 x 10⁴ + 5 x 10³ + 9

MRSTAV

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a) 132

b) 15 030

c) 634 328

TRY IT

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EXPANDED FORM �USING POWERS OF 10

TO

STANDARD FORM

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1 x 10⁷+ 3 x 10⁵ + 2 x 10⁴ + 5 x 10³ + 9

__

1

__

2

__

3

__

4

__

5

__

6

__

7

__

^

(SPACE)

START FROM THE RIGHT! 🡪

1

MRSTAV

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1 x 10⁷+ 3 x 10⁵ + 2 x 10⁴ + 5 x 10³ + 9

__

1

__

2

__

3

__

4

__

5

__

6

__

7

__

^

(SPACE)

START FROM THE RIGHT! 🡪

1

__

1

__

2

__

3

__

4

__

5

__

^

3

MRSTAV

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1 x 10⁷+ 3 x 10⁵ + 2 x 10⁴ + 5 x 10³ + 9

__

1

__

2

__

3

__

4

__

5

__

6

__

7

__

^

(SPACE)

START FROM THE RIGHT! 🡪

1

__

1

__

2

__

3

__

4

__

5

__

^

3

__

1

__

2

__

3

__

4

__

^

2

MRSTAV

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1 x 10⁷+ 3 x 10⁵ + 2 x 10⁴ + 5 x 10³ + 9

__

1

__

2

__

3

__

4

__

5

__

6

__

7

__

^

(SPACE)

START FROM THE RIGHT! 🡪

1

__

1

__

2

__

3

__

4

__

5

__

^

3

__

1

__

2

__

3

__

4

__

^

2

__

1

__

2

__

3

__

^

5

MRSTAV

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1 x 10⁷+ 3 x 10⁵ + 2 x 10⁴ + 5 x 10³ + 9

__

1

__

2

__

3

__

4

__

5

__

6

__

7

__

^

(SPACE)

START FROM THE RIGHT! 🡪

1

__

1

__

2

__

3

__

4

__

5

__

^

3

__

1

__

2

__

3

__

4

__

^

2

__

1

__

2

__

3

__

^

5

9

MRSTAV

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1 x 10⁷+ 3 x 10⁵ + 2 x 10⁴ + 5 x 10³ + 9

__

1

__

2

__

3

__

4

__

5

__

6

__

7

__

^

(SPACE)

1

__

1

__

2

__

3

__

4

__

5

__

^

3

__

1

__

2

__

3

__

4

__

^

2

__

1

__

2

__

3

__

^

5

9

0

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1 x 10⁷+ 3 x 10⁵ + 2 x 10⁴ + 5 x 10³ + 9

1

3

2

5

9

0

MRSTAV

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a) 5 x 10³ + 6 x 10² + � 7 x 10¹ + 8

b) 7 x 10⁸ + 2 x 10⁴ + � 9 x 10¹ + 1

c) 5 x 10¹¹ + 9 x 10⁹ + � 7 x 10¹ + 8

TRY IT

MRSTAV

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Standard Form
Written Form
Expanded Form
Powers of 10

MRSTAV

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WORDWALLWORDWALLWORDWALLWORDWALL

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MRSTAV

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MRSTAV

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TECH

INDEPENDENT

WORK

MATH GAME

MATH

JOURNAL

2. ProdigyGame.com

Class Code: 0D2D90

1. Google Classroom Game

Ashton
Avah
Brendon
Jordan
Wyatt

Austin
Autumn
Jennah
Kylie
Matthew
Phoenix

Avril
Brendan
Cameron
Cole
Javon
Kaden
Satanna

Areej
Eleesha
Elizabeth
Kartor
Tamera

Alexander
Anwar
Gavin
Keegan
Zohaib

MRSTAV

>>

CENTRES

GUIDED

WITH STAV

1 2 3 4 5

35 of 39

TECH

INDEPENDENT

WORK

MATH GAME

MATH

JOURNAL

2. ProdigyGame.com

Class Code: 0D2D90

1. Google Classroom Game

Braylon
Candice
Jordan
Loche
Sherene

Azia
Drayden
Kacey
Kenzie
Shawn
Zachary

Breannah
Chevoneese
Kayden
Lexi
Tatianna

Anthony
Carly
Jayda
Jaylen
Linden

Andre
Damien
Kimberlee
Nathan
Shaazil

MRSTAV

>>

CENTRES

GUIDED

WITH STAV

1 2 3 4 5

36 of 39

STAV

Ashton
Ava
Brendon
Jordan
Wyatt

Austin
Autumn
Jennah
Kylie
Matthew
Phoenix

Avril
Brendan
Cameron
Cole
Javon
Kaden
Satanna

Alexandar
Areej
Eleesha
Elizabeth
Kartor
Tamera

Anwar
Gavin
Isabell
Keegan
Zohaib

MRSTAV

37 of 39

BURKE-TREBELL

Braylon
Candice
Jordan
Loche
Sherene

Azia
Drayden
Kacey
Kenzie
Shawn
Zachary

Breannah
Chevoneese
Dalton
Kayden
Lexi
Tatianna

Anthony
Carly
Jayda
Jaylen
Linden

Andre
Damien
Kimberlee
Nathan
Shaazil

MRSTAV

38 of 39

NUMBER SENSE & NUMERATION

Represent whole numbers in expanded form using powers of 10

MRSTAV

CURRICULUM

39 of 39

NUMBER SENSE & NUMERATION

Express repeated multiplication using exponential notation
Represent whole numbers in expanded form using powers of 10
Represent, compare and order rational numbers

(i.e. positive and negative fractions and decimals to thousandths)

Translate between equivalent forms of a number

(i.e. decimals, fractions, percents)

Determine common factors and common multiples using the prime factorisation of numbers.

MRSTAV

CURRICULUM