Unit Conversion

Prefixes Value

T 1012

M 109

G 106

k 103

Without prefixes 100

d 10-1

c 10-2

m 10-3

μ 10-6

n 10-9

p 10-12

A initial prefix = A × 10 (Pwr of initial prefix – Pwr of new prefix) new prefix

Example 1:

Conversion from higher prefixes to lower

prefixes

10 km = _______ cm

Initial prefix = k → Power of prefix = 3

New prefix = c → Power of prefix = −2

10 km = 10 × 10 (initial prefix – new prefix) cm

= 10 × 10 (3 – (-2)) cm

= 10 × 105 cm

= 1 × 106 cm

Example 1

Example 2

Example 2:

Conversion from lower prefixes to higher

prefixes

200 μg = _______ Gg

Initial prefix = μ → Power of prefix = -6

New prefix = G → Power of prefix = 6

200 μg = 200 × 10 (initial prefix – new prefix) Gg

= (2 × 102) × 10 ((-6) – 6) Gg

= (2 × 102) × 10-12 Gg

= 2 × 10-10 Gg

by Cikgu Desikan

Unit Conversion (Part 2)

Prefixes Value

T 1012

M 109

G 106

k 103

Without prefixes 100

d 10-1

c 10-2

m 10-3

μ 10-6

n 10-9

p 10-12

*** square : n =2 & cubic : n = 3

A initial prefix n = A × [10 (Pwr of initial prefix – Pwr of new prefix) ]n new prefix n

Example 3:

Conversion from higher prefixes to lower

prefixes

10 km2 = _______ cm2

Initial prefix = k → Power of prefix = 3

New prefix = c → Power of prefix = −2

10 km2 = 10 × [10 (initial prefix – new prefix)]2 cm2

= 10 × [10 (3 – (-2))]2 cm2

= 10 × 1010 cm2

= 1 × 1011 cm2

Example 4:

Conversion from lower prefixes to higher

prefixes

200 μm3 = _______ cm3

Initial prefix = μ → Power of prefix = -6

New prefix = c → Power of prefix = -2

200 μm3 = 200 × 10 [(initial prefix – new prefix)]3 cm3

= (2 × 102) × [10 ((-6) – (-2))]3 cm3

= (2 × 102) × 10-24 cm3

= 2 × 10-22 cm3

by Cikgu Desikan

Example 4

Example 3