A Painter's Canvas (Part 1) (Represent decimal numbers using area models and equivalent fractions)

The video tutorial explains how decimals represent parts of a whole, using an example of a canvas divided into 10 equal parts. It demonstrates how to calculate the fraction and decimal representation for different colored regions of the canvas: black, red, and green. The tutorial emphasizes understanding the relationship between fractions and decimals, particularly when the denominator is 10, leading to a single decimal place.

What does a decimal represent in terms of a whole?

• A fraction with a numerator of 1

• Parts of a whole

• A complete whole

• A number greater than 1

How is the fraction 3/10 represented as a decimal?

• 3.10

• 0.3

• 0.03

• 3.0

What is the decimal representation of the red region, which is 5/10?

• 0.05

• 5.10

• 0.5

• 5.0

If a region is represented by 2/10, what is its decimal form?

• 0.2

• 2.10

• 2.0

• 0.02

What does a denominator of 10 in a fraction indicate about its decimal representation?

• It has two decimal places

• It is a whole number

• It has one decimal place

• It is greater than 1