Question

Which of the following correctly determines the relationship between centi (10²) and micro (10⁻6)?

a) 10⁻2; there are 10 micro-units in 1 centi-unit.
b) 10⁶; there are 10⁶ micro-units in 1 centi-unit.
c) 10⁻8; 10⁻2 x 10⁻6 = 10⁻8; 1 centi-unit is equivalent to 10⁻6 micro-units.
d) 10⁴; there are 10⁴ centi-units in 1 micro-unit.

Answer 1

The correct relationship between centi and micro is that there are 10⁴ micro-units in one centi-unit, which means the answer is option b) 10⁶.

Step-by-step explanation:

To determine the relationship between centi (10-2) and micro (10-6), we need to calculate how many micro-units are in one centi-unit. By definition, the centi-prefix corresponds to 10-2 and the micro-prefix corresponds to 10-6. To convert from centi to micro, we need to understand that 1 centi-unit is 10-2 base units, while 1 micro-unit is 10-6 base units.

When converting from centi to micro, you multiply the number of centi-units by 10-2 to revert back to the base unit, and then divide by 10-6 to convert to micro-units:

(1 centi-unit) x (106 micro-units/1 base unit) = 10⁴ micro-units. This means that there are 10⁴ micro-units in 1 centi-unit.

Therefore, the correct determination is option b) 10⁶; there are 106 micro-units in 1 centi-unit.