STANDARD & EXPANDED FORM

STANDARD & EXPANDED FORM

Number Forms

There are three different ways to identify a number. Word Form, Standard Form, & Expanded Form.

Examples:

Thirty two and three tenths<--Word Form

33.3<-- Standard Form

3 x 10 + 3 x 1 + 3 x 1/10 <-- Expanded Form

Examples of Expanded Form

22.34 = 2 x 10 + 2 x 1 + 3 x 1/10 + 4 x 100

7.8 = 7 x1 + 8 x 1/10

319 = 3 x 100 + 1 x 10 + 9 x 1

42.135 = 4 x 10 + 2 x 1 + 1 x 1/10 + 3 x 1/100 + 5 x 1/1000

Examples of Standard Form

3 x 10 + 4 x 1 + 5 x 1/10 = 34.5

7 x 1 + 3 x 1/10 = 7.3

6 x 100 + 2 x 1 + 8 x 1/10 = 602.8

Open Ended

Write this number in Expanded Form.

2,542

Open Ended

Write this number in Expanded Form.

78.9

Open Ended

Write this number in Expanded Form.

7.241

Open Ended

Write this number in Expanded Form.

63.56

Open Ended

What is this number in Standard Form?

3 x 1 + 2 x 1/10

Open Ended

*BUBBLE GUM ALERT*

What is this number in Standard Form?

3 x 100 + 5 x 1 + 2 x 1/100

CHECK YOUR WORK(ANSWERS BELOW)

• 2 x 1,000 + 5 x 100 + 4 x 10 + 2 x1

• 7 x 10 + 8 x 1 + 9 x 1/10

• 7 x 1 + 2 x 1/10 + 4 x 1/100 + 1 x 1/1,000

• 6 x 10 + 3 x 1 + 5 x 1/10 + 6 x 1/100

• 3.2

• 305.02

LET'S TEST OUR KNOWLEDGE

PRACTICE TIME

Multiple Choice

What is this number in expanded form?

73.15

• 7 + 3 + 1 +5

• 7 x 10 + 3 x 1 + 1 x 1/10 + 5 x 1/100

• 7 x 100 + 3 x 10 + 1/10 + 5/100

Multiple Choice

What is the expanded form of this number?

298.7

• 2 x 10 + 9 x 10 + 8 x 1 + 7 x 1/10

• 200 + 98 + 7 x 1/10

• 2 x 100 + 9 x 10 + 8 x 1 + 7 x 1/10

Multiple Choice

*BUBBLE GUM ALERT*

What is the expanded form of this number?

2,045.007

• 2,000 + 40 + 50 + 7000

• 2 x 1000 + 4 x 100 + 5 x1 + 7 x 1/1000

• 2 x 1000 + 4 x 10 + 5 x 1 + 7 x 1/1000

Multiple Choice

What is the standard form of this number?

2 x 100 + 5 x 1 + 9 x 1/10

• 25.9

• 205.9

• 25.09

Multiple Choice

What is the standard form of this number?

4 x 1 + 3 x 1/10 + 2 x 1/100 + 8 x 1/1000

• 43.82

• 4.382

• 4.328

Multiple Choice

*BUBBLE GUM ALERT*

What is the standard form of this number?

7 x 1,000 + 3 x 1 + 4 x 1/100

• 7003.04

• 703.4

• 7003.4

Poll

How do you feel about writing decimals in Standard & Expanded Form?

• I GOT IT!

• I get it, but I need more practice.

• I don't understand at all.

THE END!!

SEE YOU IN CLASS TOMORROW :)