Expanded Form and Notation

5.2A Standard to Expanded Notation

By Mr. Burton

DO NOW​

Multiple Choice

Which number is equivalent to
30 + 0.4 + 0.002?

• 342
• 30.420
• 30.402
• 3.40

Multiple Choice

The weight of a newborn baby is 8.34 pounds.  Which of the following is equivalent to the weight of the baby?

• 0.8 + 0.03 + 0.004
• 8 + 0.03 + 0.004
• 800 + 30 + 4
• 8 + 0.3 + 0.04

I DO​

Multiple Choice

At the U.S. Junior National Championship, Allison received a gold medal for completing the 100 m freestyle in thirty-nine and eighty-two hundredths seconds. How is Allison’s time written in expanded notation?

A (3 x 10) + (9 x 10) + (8 x 0.1) + (2 x 0.01)

B (3 x 10) + (9 x 1) + (8 x 0.1) + (2 x 0.01)

C (3 x 0.1) + (9 x 0.01) + (8 x 0.1) + (2 x 0.01)

D (39 x 1) + (8 x 0.01) + (2 x 0.001)

• (3 x 10) + (9 x 10) + (8 x 0.1) + (2 x 0.01)

• (3 x 10) + (9 x 1) + (8 x 0.1) + (2 x 0.01)

• (3 x 0.1) + (9 x 0.01) + (8 x 0.1) + (2 x 0.01)

• (39 x 1) + (8 x 0.01) + (2 x 0.001)

WE DO​

Multiple Choice

The U.S. Women's Gymnastic team had a score of forty-one and seventy-nine hundredths on the balance beam at the 2018 World Gymnastics Championship. How is the score written in expanded notation? 

A (41 x 1) + (7 x 0.01) + (7 x 0.01) 

B (4 x 10) + (1 x 10) + (7 x 0.1) + (9 x 0.01)

C (4 x 10) + (1 x 1) + (7 x 0.1) + (9 x 0.01)

D (39 x 1) + (8 x 0.01) + (2 x 0.001)

• (41 x 1) + (7 x 0.01) + (7 x 0.01)

• (4 x 10) + (1 x 10) + (7 x 0.1) + (9 x 0.01)

• (4 x 10) + (1 x 1) + (7 x 0.1) + (9 x 0.01)

• (39 x 1) + (8 x 0.01) + (2 x 0.001)

YOU DO​

Multiple Choice

Marlow has $82.92 in her savings account. Which expression shows the expanded notation of Marlow’s savings?

A (8 x 10) + (2 x 1) + (2 x 0.1) + (9 x 0.01)

B (8 x 10) + (2 x 1) + (9 x 0.1) + (2 x 0.01)

C (8 x 1) + (2 x 1) + (9 x 0.1) + (2 x 0.01)

D(8 x 10) + (2 x 1) + (2 x 0.1) + (2 x 0.01)

• (8 x 10) + (2 x 1) + (2 x 0.1) + (9 x 0.01)

• (8 x 10) + (2 x 1) + (9 x 0.1) + (2 x 0.01)

• (8 x 1) + (2 x 1) + (9 x 0.1) + (2 x 0.01)

• (8 x 10) + (2 x 1) + (2 x 0.1) + (2 x 0.01)