Decimal Models and Expanded Notation

A decimal model is shown below. The large square represents a model of 1 whole.

• (2 x 1) + (3 x 0.1) + (4 x 0.01)

• (2 x 1) + (3 x 0.01) + (4 x 0.01)

• (2 x 1) + (3 x 0.10) + (4 x 0.100)

• (2 x 1) + (3 x 0.01) + (4 x 0.100)

Jasmine paid for her groceries by writing a check for thirty-five dollars and twenty-eight cents. How is this number written in expanded notation?

• (3 x 10) + (5 x 1) + (2 x 0.01) + (8 x 0.001)

• (3 x 10) + (5 x 1) + (2 x 10) + (8 x 1)

• (3 x 100) + (5 x 10) + (2 x 1) + (8 x 0.1)

• (3 x 10) + (5 x 1) + (2 x 0.1) + (8 x 0.01)

The weight of an elephant at the zoo is 5,820.901 kilograms. How is this number represented in expanded notation?

• (5 × 1,000) + (8 × 100) + (2 × 10) + (9 × 1) + (1 × 0.1)

• (5 × 1,000) + (8 × 10) + (2 × 1) + (9 × 0.1) + (1 × 0.01)

• (5 × 1,000) + (8 × 10) + (2 × 1) + (9 × 0.1) + (1 × 0.001)

• (5 × 1,000) + (8 × 100) + (2 × 10) + (9 × 0.1) + (1 × 0.001)

The mass in kilograms of an ice chest is shown in expanded notation as (1 × 10) + (3 × 1) + (6 × 0.1) + (1 × 0.01). What is this mass in kilograms, written as a numeral?

Mathematical Equivalence

ON

Select TWO of the following that are equivalent to 3.724.

• three and seven hundred twenty-four thousandths

• (3 x 1)+ (7 × 1/10)+ (2 × 1/100) + (4 × 1/1,000)

• three and seven hundred twenty-four hundredths

• (3 x1) + (7 × 1/1,000) + (2 × 1/100) + (4 × 1/10)

• (3 × 10) + (7 × 1)+ (2 × 1/10) + (4 × 1/100)