Understanding Expanded Notation Concepts

This lesson teaches how to represent decimal numbers in expanded notation using base 10 blocks. It explains the importance of place value in determining the value of digits and provides examples of writing numbers in expanded notation. The lesson covers writing decimals to the thousandths place and demonstrates using decimal fractions to find digit values. By the end, students will understand how to read and write numbers in expanded notation.

What is the main focus of this lesson?

• Studying geometry

• Understanding fractions

• Solving algebraic equations

• Learning expanded notation

How do you determine the value of a digit in a number?

• By dividing it by its place value

• By adding it to the next digit

• By subtracting it from the total

• By multiplying it by its place value

In the number 3841, what is the value of the digit 8?

• Eight thousand

• Eight hundred

• Eighty

• Eight

What is the expanded notation of the number 2.486?

• 2 + 0.04 + 0.8 + 0.06

• 2 + 0.4 + 0.8 + 0.06

• 2 + 4 + 8 + 6

• 2 + 0.4 + 0.08 + 0.006

What is the value of the digit 6 in the number 2.486?

• Six

• Six thousandths

• Six tenths

• Six hundredths

In the number 4.032, what is the value of the digit 3?

• Three thousandths

• Three tenths

• Three

• Three hundredths

What is the expanded notation of the number 4.032?

• 4 + 0.3 + 0.002

• 4 + 0.03 + 0.02

• 4 + 0.03 + 0.002

• 4 + 0.3 + 0.02

What is the value of the digit 2 in the number 4.032?

• Two

• Two tenths

• Two hundredths

• Two thousandths

What is the purpose of using base 10 blocks in this lesson?

• To understand fractions

• To solve equations

• To visualize expanded notation

• To learn multiplication

What have you learned in this lesson?

• How to solve algebraic equations

• How to read and write numbers to the thousandths in expanded notation

• How to calculate area and perimeter

• How to convert fractions to decimals