Exploring Decimal Expanded Notation

This video tutorial teaches how to write numbers in expanded notation, including decimal place values. It provides four examples: 326.7, 37.25, 151.07, and 631.74, demonstrating the process of breaking down each number into its place values and multiplying by the appropriate power of ten. The tutorial emphasizes the importance of correctly writing decimal values, such as one-tenth and one-hundredth, to avoid common mistakes.

What is the number represented by three hundreds disks, two tens disks, six ones disks, and seven tenths disks?

• 326.7

• 326.07

• 326.70

• 327.6

How do you write the digit 3 in the hundreds place in expanded notation?

• 3 x 0.1

• 3 x 100

• 3 x 10

• 3 x 1

What is the expanded notation for the digit 7 in the tenths place?

• 7 x 0.1

• 7 x 10

• 7 x 0.01

• 7 x 1

What is the number represented by three tens disks, seven ones disks, two tenths disks, and five hundredths disks?

• 37.205

• 73.25

• 37.52

• 37.25

How do you write the digit 5 in the hundredths place in expanded notation?

• 5 x 1

• 5 x 0.1

• 5 x 10

• 5 x 0.01

What is the number represented by one hundred disk, five tens disks, one ones disk, and seven hundredths disks?

• 151.007

• 151.7

• 151.70

• 151.07

Why is it important to include a zero in the tenths place when there is no value?

• To follow a specific rule

• To make calculations easier

• To avoid confusion in place values

• To make the number look bigger

What is the number represented by six hundreds disks, three tens disks, one ones disk, seven tenths disks, and four hundredths disks?

• 631.74

• 613.74

• 631.407

• 631.47

How do you write the digit 6 in the hundreds place in expanded notation?

• 6 x 0.1

• 6 x 100

• 6 x 1

• 6 x 10

What is the expanded notation for the digit 4 in the hundredths place?

• 4 x 10

• 4 x 1

• 4 x 0.1

• 4 x 0.01