Understanding Expanded Notation Concepts

Who did the most work for the project

Who is Oliver

Who is the smartest

Who has the best phone

Division

Multiplication

Expanded notation

Subtraction

Both involve dividing digits

Both involve subtracting digits

Both involve multiplying digits by their place value

Both involve adding digits

Hundred thousands

Ten thousands

Thousands

Hundreds

To make the number look bigger

To ensure correct multiplication

To add more digits

To make it easier to read

Four thousand

Four

Four hundred

Forty

Thousands

Ones

Hundreds

Tens

Twenty

Two hundred

Two thousand

Two

Add them up

Divide them

Subtract them

Multiply them again

(3 x 100,000) + (5 x 10,000) + (6 x 1,000) + (4 x 100) + (2 x 10) + (9 x 1)

(3 x 10,000) + (5 x 1,000) + (6 x 100) + (4 x 10) + (2 x 1) + (9 x 0.1)

(3 x 1,000) + (5 x 100) + (6 x 10) + (4 x 1) + (2 x 0.1) + (9 x 0.01)

(3 x 100) + (5 x 10) + (6 x 1) + (4 x 0.1) + (2 x 0.01) + (9 x 0.001)