Lesson 1: Name decimal fractions in expanded, unit, and word forms by applying place value reasoning.

Property

A single digit's value in a decimal can be expressed in various equivalent ways.

Examples

Property

A decimal with digits in two different place values, like $0.025$, can be expressed as the sum of its parts.

Examples

The value 25 thousandths can be represented as:

• Standard Form: $0.025$
  • Fraction Form: $\frac{25}{1000}$
  • Fraction Expanded Form: $2 \times \frac{1}{10} + 5 \times \frac{1}{1000}$
  • Decimal Expanded Form: $0.02 + 0.005 = 2 \times 0.01 + 5 \times 0.001$
  • Word Form: twenty-five thousandths

Property

A number's value can be decomposed into the sum of its place value parts and composed back into standard form. These different representations (standard, expanded, unit, and word form) are all equivalent ways to express the same quantity.

Examples