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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…

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

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

### 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

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

### Essential Question

How do I write a whole number using expanded notation?

### 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 Form

248

How many ones are there?

How many tens are there?

How many hundreds are there?

The expanded form is:

### Expanded Form

4,367 =

4,000 +

300 +

60 +

7 +

4,000 + 300 + 60 + 7 +

2,000

300

+ 9

2,309

2,000 + 300 + 9+

### Expanded form

16,823 =

10,000 +

6,000 +

800 +

20 +

3+

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

75,348 =

8,656 =

52,678 =

49,631 =

42,765 =

783,214 =

### Switch it Up!

What if you are given:

400 + 70 + 2

### 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.

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…

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 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…

(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 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 Form

67.32

60 + 7 + 0.3 + 0.02

tens + ones + tenths + hundredths

### Expanded Form

4,367.32

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

thousands + hundreds + tens + ones + tenths + hundredths

### 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.

16,823.94

75,348.12 =

8,656.43 =

52,678.91 =

49,631.32 =

42,765.57 =

783,214.41 =

### Switch it Up!

What if you are given:

400 + 70 + 2 + 0.2 + 0.05

### Switching it Up

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

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 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 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 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) =