Dimensional Analysis and Unit Conversions in Chemistry

Dimensional Analysis

Method for converting between measurement units.

Single Step Unit Conversions

Conversions within the SI metric system.

Multi-Step Unit Conversions

Conversions requiring multiple steps or maps.

Direct Method

One-step conversion using a single factor.

Indirect Method

Two-step conversion using multiple factors.

Fractional Unit Conversions

Units in both numerator and denominator.

Units Raised to a Power

Units expressed in squared or cubed dimensions.

Significant Figures

Digits that carry meaning contributing to precision.

Kilogram (kg)

Base unit of mass in the SI system.

Millisecond (ms)

One thousandth of a second.

Pound (lb)

Unit of weight in the English system.

Microgram (µg)

One millionth of a gram.

Milligram (mg)

One thousandth of a gram.

Cubic Centimeter (cm³)

Volume of a cube with 1 cm edges.

Square Meter (m²)

Area of a square with 1 m sides.

Conversion Factor

Ratio used to convert between units.

Scientific Notation

Method of expressing numbers as a product.

Area

Measure of the extent of a surface.

Volume

Measure of space occupied by an object.

Conversion Setup

Arrangement of units for dimensional analysis.

Solution Map

Visual representation of conversion steps.

Calculator Input

Method to enter scientific notation in calculators.

Cubic Meter (m³)

Volume of a cube with 1 m edges.

Millimeter (mm)

One thousandth of a meter.

Kilometer (km)

One thousand meters.

Micrometer (μm)

One millionth of a meter.