Exploring Expanded Notation with Decimals

The video tutorial explains how to expand decimals by focusing on place value. It introduces three methods: using decimals, using fractions, and combining fractions with multiplication. Each method is demonstrated with examples, and the importance of understanding each digit's value is emphasized. The tutorial concludes with a practice example to reinforce learning.

What is the main objective of expanding decimals?

• To simplify the number

• To perform addition

• To convert decimals to fractions

• To understand the value of each digit

In the first method, what is the value of the digit 4 in the number 53.453?

• 4

• 0.4

• 0.04

• 0.004

How is the digit 5 represented in the first method for the number 53.453?

• 0.5

• 0.005

• 0.05

• 5

In the second method, how is the digit 4 represented in the number 53.453?

• 4/100

• 4/10

• 4

• 4/1000

What fraction represents the digit 3 in the number 53.453 using the second method?

• 3/1000

• 3/100

• 3/10

• 3

In the third method, how is the digit 4 represented in the number 53.453?

• 4 * 1/10

• 4 * 1/100

• 4 * 1/1000

• 4

How is the digit 5 represented in the third method for the number 53.453?

• 5 * 1/100

• 5 * 1/1000

• 5

• 5 * 1/10

In the practice example, what is the value of the digit 1 in the number 143.326 using the first method?

• 1

• 10

• 1000

• 100

Using the second method, how is the digit 2 represented in the number 143.326?

• 2/10

• 2/100

• 2/1000

• 2

In the third method, how is the digit 6 represented in the number 143.326?

• 6 * 1/100

• 6 * 1/1000

• 6

• 6 * 1/10