Question

Use the prefix multipliers to express each measurement without any exponents.

a) 1.2*10^-9m
b) 22*10^-15s
c) 1.5*10^9g
d) 3.5*10^6L

Answer 1

To express measurements without exponents, use metric prefixes: 1.2*10^-9m is 1.2 nanometers; 22*10^-15s is 22 femtoseconds; 1.5*10^9g is 1,500 kilograms; and 3.5*10^6L is 3.5 megaliters.

Step-by-step explanation:

To express each measurement without any exponents using prefix multipliers, we convert them as follows:

• 1.2×10^-9 m: The prefix for 10^-9 is 'nano', so this can be written as 1.2 nanometers (nm).
• 22×10^-15 s: The prefix for 10^-15 is 'femtohm', so this can be written as 22 femtoseconds (fs).
• 1.5×10^9 g: The prefix for 10^9 is 'giga', so this can be written as 1.5 gigagrams (Gg), but considering SI base units, we should use kilograms. Since 1 gigagram is equal to 10^6 kilograms, this is 1.5×10^3 kilograms (kg).
• 3.5×10^6 L: The prefix for 10^6 is 'mega', so this can be written as 3.5 megaliters (ML).