Decimals in Expanded Notation: Key Concepts and Applications

The video tutorial introduces sixth graders to the concept of expanded notation, focusing on both whole numbers and decimals. It explains how to break down numbers into their place values and write them as a sum. The tutorial uses examples and place value charts to illustrate the process, providing practice problems to reinforce learning. The goal is to build a strong conceptual understanding of expanded notation.

What is the expanded notation of the number 1700?

• 1000 + 700 + 20 + 2

• 1000 + 700

• 1000 + 700 + 20

• 1000 + 700 + 2

How do you write 0.45 in words?

• Zero and forty-five ones

• Zero and forty-five thousandths

• Zero and forty-five hundredths

• Zero and forty-five tenths

What indicates that a number is a decimal number?

• The presence of a comma

• The word 'and' and the suffix 'th'

• The word 'or' and the suffix 'st'

• The presence of a colon

In the number 826.475, what is the place value of the digit 4?

• Ones

• Hundredths

• Tenths

• Thousandths

How many digits are to the left of the decimal point in the number 826.475?

• One

• Two

• Three

• Four

What is the expanded notation of 53.194?

• 50 + 3 + 0.1 + 0.09 + 0.004

• 50 + 3 + 0.1 + 0.09 + 0.004

• 50 + 3 + 0.1 + 0.09 + 0.004

• 50 + 3 + 0.1 + 0.09 + 0.004

What is the value of the digit 9 in the number 319.84?

• Nine hundredths

• Nine tenths

• Ninety

• Nine

In the number 74.203, what is the value of the digit 2?

• Two hundredths

• Two tenths

• Two thousandths

• Two

What is the expanded notation of 2.458?

• 2 + 0.4 + 0.05 + 0.008

• 2 + 0.4 + 0.05 + 0.008

• 2 + 0.4 + 0.05 + 0.008

• 2 + 0.4 + 0.05 + 0.008

What is the value of the digit 8 in the number 50.089?

• Eight hundredths

• Eight

• Eight thousandths

• Eight tenths