Mastering Unit Conversion Through Dimensional Analysis

Dividing by a form of one to change units

Multiplying by a form of one to change units

Multiplying by zero

Adding units to a number

The result is undefined

The result is zero

The result is one

The result is the original number

1 inch / 2.54 cm

2.54 inches / 1 cm

2.54 cm / 1 inch

1 cm / 2.54 inches

Divide by 2.54 cm / 1 inch

Divide by 1 inch / 2.54 cm

Multiply by 2.54 cm / 1 inch

Multiply by 1 inch / 2.54 cm

To ensure the result is in the desired units

To make the number smaller

To simplify the calculation

To make the number larger

A millionth of a meter

A billionth of a meter

A hundredth of a meter

A thousandth of a meter

cm

nm

dm

mm

Multiply by 10^-9

Multiply by 10^9

Divide by 10^-9

Divide by 10^9

6.56 x 10^7 meters

6.56 x 10^9 meters

6.56 x 10^-9 meters

6.56 x 10^-7 meters

To make numbers look more complex

To simplify calculations with very large or small numbers

To avoid using decimals

To increase the number of significant figures