Expanded Form Lesson

Expanded Form

Stretch out that number!

What is the value of each digit below?

5,679

Expanded form makes an addition problem out of the VALUES of each digit. 

Multiply the digit by its place value.
456 = (4 x 100) + (5 x 10) + (6 x 1)

When there are decimal places, think about the place value name and multiply the digit by that name: 0.76

• 7 is in the tenths, so 7 times 1 tenth is (7 x 0.1)

• 6 is in the hundredths, so 6 times 1 hundredth is (6 x 0.01) 

• Add the values to show the expanded form. (7 x 0.1) + (6 x 0.01)

Expanded form can use decimals or fractions

• 6.78 = (6 x 1) + (7 x 0.1) + (8 x 0.01)

• 6.78 = (6 x 1) + (7 x 1/10) + (8 x 1/100)

Multiple Choice

Which is the correct expanded form of: 3.21?

• (3 x 1) + (2 x 0.1) + (1 x 0.01)

• (1 x 3) + (1 x 0.2 )+ (1 x 0.01)

• 3 + 2 + 1

Multiple Choice

What is the standard form of this number?

(7 x 10) + (3 x 1) + (8 x 0.1)

• 738

• 7.38

• 73.8

Multiple Select

Choose the two correct expanded forms for 50.27

• (5 x 10) + (2 x 0.1) + (7 x 0.01)

• (5 x 1) + (2 x 1/10) + (7 x 1/100)

• (5 x 10) + (2 x 1) + (7 x 0.1)

• (5 x 10) + (2 x 1/10 + (7 x 1/100)