Exploring Expanded Notation with Decimals

The video tutorial by Miss Foyer and Miss Valui covers the concept of expanded notation with decimals. It begins with an introduction to standard and expanded notation, explaining how to express numbers by breaking down the value of each digit. The tutorial provides examples, such as writing 3.65 and 64.085 in expanded notation using both decimals and fractions. It also demonstrates how to convert numbers from expanded notation back to standard notation, emphasizing the importance of place value and the correct representation of digits. The video concludes with a reminder to be cautious when digits are missing in certain places.

What is standard notation?

• Using pictures to illustrate a number

• Using words to describe a number

• Using digits to record a number

• Using symbols to represent a number

How would you write 653.25 in expanded notation?

• 600 + 50 + 3 + 0.2 + 0.005

• 600 + 50 + 3 + 0.2 + 0.05

• 600 + 50 + 3 + 0.2 + 0.5

• 600 + 50 + 3 + 0.02 + 0.05

Which of the following is a correct expanded notation for 3.65?

• 3 + 0.06 + 0.5

• 3 + 0.06 + 0.05

• 3 + 0.6 + 0.005

• 3 + 0.6 + 0.05

How can you represent 3.65 using multiplication and addition?

• 3 * 1 + 6 * 0.01 + 5 * 0.001

• 3 * 1 + 6 * 0.1 + 5 * 0.001

• 3 * 1 + 6 * 0.01 + 5 * 0.1

• 3 * 1 + 6 * 0.1 + 5 * 0.01

What is the expanded notation for 64.085?

• 60 + 4 + 0.08 + 0.005

• 60 + 4 + 0.8 + 0.05

• 60 + 4 + 0.8 + 0.005

• 60 + 4 + 0.08 + 0.05

How would you write 64.085 using fractions?

• 6 * 10 + 4 * 1 + 8 * 1/10 + 5 * 1/100

• 6 * 10 + 4 * 1 + 8 * 1/100 + 5 * 1/1000

• 6 * 10 + 4 * 1 + 8 * 1/10 + 5 * 1/1000

• 6 * 10 + 4 * 1 + 8 * 1/100 + 5 * 1/100

Convert the expanded notation 42 + 0.6 + 0.07 + 0.005 to standard notation.

• 42.0675

• 42.6075

• 42.6750

• 42.675

What is the standard notation for 9 * 1 + 3 * 0.1 + 8 * 0.01?

• 9.0038

• 9.308

• 9.38

• 9.038

How would you write 708.41 in expanded notation?

• 700 + 8 + 0.4 + 0.1

• 700 + 80 + 0.4 + 0.01

• 700 + 8 + 0.4 + 0.01

• 700 + 8 + 0.04 + 0.1

Why is it important to be careful with missing place values in expanded notation?

• It makes the notation look messy

• It only matters for whole numbers

• It can change the value of the number

• It is not important at all