Expanded Notation Worksheet - Grade 9

Expanded Notation Practice

Read each question carefully and write your answers in the space provided. Show your work where necessary.

Write the following numbers in expanded notation.

1. 3,456 =  

2. 78,002 =  

3. 1,200,500 =  

Write the following decimals in expanded notation.

1. 0.725 =  

2. 12.09 =  

3. 5.103 =  

Write the standard form of the following expanded notations.

1. (4 × 100) + (5 × 10) + (9 × 1) =

2. (8 × 1000) + (0 × 100) + (3 × 10) + (7 × 1) =

3. (6 × 1/10) + (2 × 1/100) =

4. (3 × 10) + (1 × 1) + (5 × 1/100) + (4 × 1/1000) =

Choose the correct expanded notation for the given number.

1. Which of the following is the expanded notation for 9,876?

2. What is the standard form of (5 × 10^3) + (2 × 10^1) + (7 × 10^-2)?

Indicate whether each statement is true or false.

1. The expanded notation of 405 is (4 × 100) + (5 × 1).

2. In expanded notation, the value of a digit depends on its place in the number.

Explain in your own words what expanded notation means and why it is useful.