Understanding Decimal Representations

This video tutorial covers chapter 10 on fractions and decimals, focusing on understanding and extending fraction knowledge to decimals. It explains place value through tenths and hundredths, using examples to model decimals and fractions. The tutorial includes practice problems and solutions, comparing decimals, and applying decimal knowledge to real-world scenarios.

What is a decimal?

• A whole number

• A number without a decimal point

• A number that uses place value and a decimal point to show part of a whole

• A fraction with a numerator and denominator

How many cents is one dollar equivalent to?

• 10 cents

• 100 cents

• 1 cent

• 50 cents

If Kendra has three dimes, what should be written in the tenths place?

• 1

• 3

• 5

• 0

What is the decimal representation of one dollar, three dimes, and five pennies?

• 1.35

• 0.35

• 1.30

• 1.05

What is the value of one strip if a whole is divided into tenths?

• 10

• 1

• 0.1

• 0.01

How many squares are shaded if 42 out of 100 squares are shaded?

• 58

• 10

• 100

• 42

What is the decimal representation of 42 hundredths?

• 0.42

• 42.0

• 4.2

• 0.042

How many times greater is the value of six dimes compared to six pennies?

• 6 times

• 60 times

• 10 times

• 5 times

What is the decimal representation of zero dollars, four dimes, and eight pennies?

• 0.40

• 4.08

• 0.84

• 0.48

If a model has three tenths colored in, what is the decimal representation?

• 3.3

• 3.0

• 0.3

• 0.03