Question

1 nanometer is _________ centimeter.
$\begin{array}{rl}& \text{A}\text{. 1}{\text{0}}^{-8}\\ & \text{B}\text{. 1}{\text{0}}^{-7}\\ & \text{C}\text{. 1}{\text{0}}^{-9}\\ & \text{D}\text{. 1}{\text{0}}^{-6}\end{array}$

Answer 1

Hint: The name itself has meaning which is one billionth. Nanometer and meter are units of measurement which are used to measure the length of the body. A meter is an S.I. unit of length which is also called a system of international units. One billion meters is equal to 1 nanometer i.e. 0.000000001m=1nanometer. Meter is denoted as m.

Complete step-by-step answer:
If you are interested in subjects like computer science and math, then knowing the conversion of nanometers to meters or converting any quantity of length into meters will be a good skill to have.
S.I. a unit is an international unit. A meter is an S.I. unit of length which is also called a system of the international unit. Both units are used to measure length.
Multiply meter with 10 to the power of 2 which will convert meter into centimeter
Additional information:
One meter is equivalent to 3.28 feet in the imperial system. This system is used in the United States. This unit was invented because humans are lazy and they want things quick and writing 0.000000001 is a bit lazy and lengthy hence we invented nanometers. This unit is smaller than the microscopic unit.
Mathematically we have:
1 m = 100 cm
1 m = 1000 mm
1 m = ${10}^6$ micrometer
1 m = ${10}^9$ nanometer

Thus we can say
100 cm = ${10}^9$ nanometer
so, 1 nanometer = ${\displaystyle \frac{100}{{10}^9}}$ cm
Hence , 1 nanometer = ${10}^{-7}$ cm
Hence option B is the correct answer.

Note: Students generally get confused between meter or centimeter. If you will notice then in question, they have asked 1 nanometer equal to how many centimeters, not meters. If you will convert a nanometer in meters then it must be ${10}^{-9}$meter. The first option will come when we will convert nanometers into decimeters. The second option will come when we will convert a nanometer into a centimeter. The third option itself is in terms of a nanometer. The fourth option will come when we will convert a nanometer into a millimeter.