Expanded Notation Concepts and Applications

Mr. Pearson introduces expanded notation, a method of writing numbers by multiplying each digit by its place value. He explains the concept of place value, covering positions from ones to millions. The video demonstrates patterns in expanded notation and provides examples and practice problems for students. The lesson concludes with a review of the key concepts.

What is the main purpose of using expanded notation?

• To simplify complex calculations

• To express numbers in a detailed form

• To convert numbers into fractions

• To write numbers in scientific notation

Which of the following is a place value position?

• Tens

• Hundredths

• Thousandths

• Tenths

How do you determine the value of a digit in expanded notation?

• By adding it to the next digit

• By multiplying it by its place value

• By subtracting it from the next digit

• By dividing it by its place value

What is the expanded notation of the number 35?

• 3 + 5

• 30 + 5

• 300 + 50

• 3 * 10 + 5 * 1

In the number 437, what is the value of the digit 4?

• 4000

• 400

• 40

• 4

What should you do if a digit in a number is zero when writing in expanded notation?

• Multiply it by its place value

• Add it to the next digit

• Skip it

• Include it as zero

What is the expanded notation of 573?

• 5 * 10 + 7 * 1 + 3 * 0

• 5 + 7 + 3

• 500 + 70 + 3

• 5 * 100 + 7 * 10 + 3 * 1

How would you write 6328 in expanded notation?

• 6 * 100 + 3 * 10 + 2 * 1 + 8 * 0

• 6 + 3 + 2 + 8

• 6000 + 300 + 20 + 8

• 6 * 1000 + 3 * 100 + 2 * 10 + 8 * 1

What is the expanded notation of 57,200?

• 50,000 + 7,000 + 200

• 5 * 10,000 + 7 * 1,000 + 2 * 100

• 5 * 1,000 + 7 * 100 + 2 * 10

• 5 * 10,000 + 7 * 1,000 + 2 * 100 + 0 * 10

Why is it important to learn expanded notation?

• It helps in understanding scientific concepts

• It is used in advanced mathematics

• It simplifies arithmetic operations

• It is a foundational skill for future learning