Question

Give the name and symbol of the prefixes used with SI units to indicate multiplication by the following exact quantities.

a. 10³

b. 10^-2

c. 0.1

d. 10^-3

e. 1,000,000

f. 0.000001

Short answer

a) 10³ =Kilo

b) 10^-2 =centi

c) 0.1 =deci

d) 10^-3 =mili

e) 1,000,000 = 10⁶ =mega

f) 0.000001 = 10^-6 = micro

Step-by-step solution

Determine the definition of base units.

A base unit is defined arbitrarily and not by combinations of other units. In contrast, a derived unit is a SI unit of measurement composed of a combination of the seven base units (Kg, m, s, A, K, mol, cd).

Name and symbol of the prefixes used with SI unit

a) 10³ =Kilo(Kilogram = 10³ grams, kilometre = 10³ meters)

Symbol – K

b) 10^-2 =centi(it is the 100^th part of a unit, like a centimeter or a centigram)

Symbol – c

c) 0.1 =deci(it is the tenth part of a unit: decimetre, decigram)

Symbol – d

d) 10^-3 =mili(the 1000^th part of a unit:millimeter, milligram). Thenamecomes from the word used inLatinto mean “one thousand.”

Symbol – m

e) 1,000,000 = 10⁶ =mega(megawatt)

Symbol – M

f) 0.000001 = 10^-6 =micro(micrometer, microsecond)

Symbol - μ