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While you wait…. Using the arrow tool, click on the link to play!! http://www.quia.com/hm/83340.html. Good Morning. Objective. M5.A.1.1.1 Use expanded notation to represent whole numbers or decimals (whole numbers less than 10,000,000 and decimals through hundredths). . Vocabulary.

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While you wait
While you wait…

Using the arrow tool, click on the link to play!!

http://www.quia.com/hm/83340.html



Objective
Objective

M5.A.1.1.1 Use expanded notation to represent whole numbers or decimals (whole numbers less than 10,000,000 and decimals through hundredths).


Vocabulary
Vocabulary

  • Expanded Form – a way to write numbers that shows the place value of each digit.


Essential question
Essential Question

How do I write a whole number using expanded notation?


Expanded form
Expanded Form

**When doing expanded form…. We are breaking a number down in pieces.

**The pieces are the numbers in the problem and their place values.


Expanded form1
Expanded Form

248

How many ones are there?

How many tens are there?

How many hundreds are there?

The expanded form is:


Expanded form2
Expanded Form

4,367 =

4,000 +

300 +

60 +

7 +

4,000 + 300 + 60 + 7 +


Expanded form3
Expanded Form

2,000

300

+ 9

2,309

2,000 + 300 + 9+


Expanded form4
Expanded form

16,823 =

10,000 +

6,000 +

800 +

20 +

3+

10,000 + 6,000 + 800 + 20 + 3


Expanded form individual practice

75,348 =

8,656 =

52,678 =

49,631 =

42,765 =

783,214 =

Expanded Form Individual Practice


Switch it up
Switch it Up!

What if you are given:

400 + 70 + 2


Switching it up
Switching it Up

Expanded Notation:2000 + 300 + 9

Notice there are no tens! We do not include 0 in our expanded notation. But, we DO include it when writing the number.

2,309

This shows that there are no tens in this number.


What is your number
What is your number?

2,000 + 900 + 30 + 5 =

20,000 +7,000 + 100 + 20 + 2 =

4,000 + 500 + 40 + 3 =

8,000 + 400 + 50 + 7 =

30,000 + 6,000 + 300 + 80 + 5 =

10,000 + 2,000 + 500 + 4 =


One more way
One more way…

What does this mean??

(5 x 1,000) + (3 x 100) + (4 x 10) + (7 x 1)

5,000 + 300 + 40 + 7

Multiply each number by 1 and tack on the 0’s at the end.


One more way1
One more way…

Let’s check it out again…

(4 x 1,000,000) + (3 x 10,000) + (7 x 1,000) + (4 x 100) + (5 x 10) + (9 x 1)


You try
You try…

(9 x 10,000) + (4 x 1,000) + (3 x 100) + (2 x 10) + (4 x 1) =

(8 x 100,000) + (5 x 1,000) + (4 x 100) + (8 x 10) + (6 x 1)=

(4 x 1,000) + (6 x 100) + (8 x 10) + (2 x 1) =

(9 x 1,000,000) + (8 x 10,000) + (5 x 1,000) + (3 x 100) + (7 x 10) + (6 x 1) =

(5 x 10,000) + (4 x 1,000) + (9 x 100) + ( 3 x 10) + (7 x 1) =

(7 x 100,000) + (3 x 10,000) + (8 x 100) + (4 x 10) + (9 x 1) =


Expanded form5
Expanded Form

248.14

How many ones are there?

How many tens are there?

How many hundreds are there?

How many tenths are there?

How many hundreths are there?

The expanded form is:


Expanded form6
Expanded Form

67.32

60 + 7 + 0.3 + 0.02

tens + ones + tenths + hundredths


Expanded form7
Expanded Form

4,367.32

4,000 + 300 + 60 + 7 + 0.3 + 0.02

thousands + hundreds + tens + ones + tenths + hundredths


Expanded form8
Expanded Form

4,367.32

4,000.00

300.00

60.00

7.00

0.30

+ 0.02

4,367.32

Line up the ONES place in all of the numbers to add them together.


Expanded form9
Expanded form

16,823.94


Expanded form individual practice1

75,348.12 =

8,656.43 =

52,678.91 =

49,631.32 =

42,765.57 =

783,214.41 =

Expanded Form Individual Practice


Switch it up1
Switch it Up!

What if you are given:

400 + 70 + 2 + 0.2 + 0.05


Switching it up1
Switching it Up

2,000+ 300 + 90 + 4 + 0.1 + 0.03


What is your number1
What is your number?

2,000 + 900 + 30 + 5 + 0.8 +0.03 =

20,000 +7,000 + 100 + 20 + 2 + 0.7 + 0.04 =

4,000 + 500 + 40 + 3 + 0.6 + 0.09 =

8,000 + 400 + 50 + 7 + 0.3 + 0.07=

30,000 + 6,000 + 300 + 80 + 5 + 0.4 +0.02 =

7,000 + 800 + 40 + 1 + 0.9 + 0.04 =


One more way2
One more way…

What does this mean??

(5 x 1,000) + (3 x 100) + (4 x 10) + (7 x 1) + (5 x 0.1) + (6 x 0.01)

5,000 + 300 + 40 + 7 + 0.5 + 0.06

5,347.56

Multiply each number by 1 and include any 0s that are before or after.


One more way3
One more way…

Let’s check it out again…

(4 x 1,000,000) + (3 x 10,000) + (7 x 1,000) + (4 x 100) + (5 x 10) + (9 x 1) + (8 x 0.1) + (4 x 0.01)


You try1
You try…

(9 x 10,000) + (4 x 1,000) + (3 x 100) + (2 x 10) + (4 x 1) + (2 x 0.1) + (5 x 0.01) =

(8 x 100,000) + (5 x 1,000) + (4 x 100) + (8 x 10) + (6 x 1) + (7 x 0.1) + (9 x 0.01) =

(4 x 1,000) + (6 x 100) + (8 x 10) + (2 x 1) + (8 x 0.1) + (6 x 0.01) =

(9 x 1,000,000) + (8 x 10,000) + (5 x 1,000) + (3 x 100) + (7 x 10) + (6 x 1) + (7 x 0.1) + (6 x 0.01)=

(5 x 10,000) + (4 x 1,000) + (9 x 100) + ( 3 x 10) + (7 x 1) + (3 x 0.1) + (2 x 0.01) =

(7 x 10,000) + (3 x 1,000) + (8 x 100) + (4 x 10) + (8 x 1) + (6 x 0.1) + (3 x 0.01) =


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