Expanded Notation with Decimals

What is the value of (3 x 10) + (2 x 1) + (5 x 0.1)?

• 32.5

• 35.0

• 30.0

• 31.5

What is expanded notation?

• A way to write numbers that shows the value of each digit, such as (3 x 100) + (4 x 10) + (5 x 1) for 345.

• A method of writing numbers in a compact form without showing the value of each digit.

• A technique used to convert numbers into fractions.

• A way to represent numbers using only their digits without any mathematical operations.

How do you express 0.45 in expanded notation?

• (4 x 0.1) + (5 x 0.01)

• (4 x 0.01) + (5 x 0.1)

• (4 x 1) + (5 x 0.1)

• (4 x 0.5) + (5 x 0.05)

What is the value of 12 x 800?

• 8,000

• 9,600

• 10,400

• 11,200

What is the expanded notation for 5.67?

• (5 x 1) + (6 x 0.1) + (7 x 0.01)

• (5 x 10) + (6 x 1) + (7 x 0.1)

• (5 x 1) + (6 x 1) + (7 x 0.1)

• (5 x 1) + (6 x 0.01) + (7 x 0.001)

How do you write 6.84 in expanded notation?

• (6 x 1) + (8 x 0.1) + (4 x 0.01)

• (6 x 1) + (8 x 0.01) + (4 x 0.001)

• (6 x 10) + (8 x 1) + (4 x 0.1)

• (6 x 1) + (8 x 0.5) + (4 x 0.05)

How do you write 0.305 in expanded notation?

• (3 x 0.1) + (0 x 0.01) + (5 x 0.001)

• (3 x 0.1) + (3 x 0.01) + (5 x 0.001)

• (3 x 0.1) + (0 x 0.01) + (5 x 0.01)

• (3 x 0.1) + (0 x 0.1) + (5 x 0.001)

What does the digit '7' represent in the number 7.89?

• In the 'tens' place, representing 70.

• In the 'ones' place, representing 7.

• In the 'tenths' place, representing 0.7.

• In the 'hundreds' place, representing 700.

How do you convert (6 x 0.1) + (5 x 0.01) to standard form?

• $0.55$

• $0.65$

• $0.75$

• $0.85$

What does the digit '8' represent in the number 78.02?

• In the 'tens' place, representing 80.

• In the 'ones' place, representing 8.

• In the 'tenths' place, representing 0.8.

• In the 'hundreds' place, representing 800.