what is the relation between nanometer and meter
Nanometre The nanometre (International spelling as used by the International Bureau of Weights and Measures; SI symbol: nm) or nanometer (American spelling) is a unit of length in the metric system, equal to one billionth (short scale) of a metre (6991100000000000000♠0.000000001 m). The name combines the SI prefix nano- (from the Ancient Greek νάνος, nanos, "dwarf") with the parent unit name metre (from Greek μέτρον, metrοn, "unit of measurement"). It can be written in scientific notation as 6991100000000000000♠1×10−9 m, in engineering notation as 1 E−9 m, and is simply 1/7009100000000000000♠1000000000 metres. One nanometre equals ten ångströms. When used as a prefix for something other than a unit of measure (as in "nanoscience"), nano refers to nanotechnology, or phenomena typically occurring on a scale of nanometres (see nanoscopic scale).[1]
Micrometer The accuracy of micrometers is checked by using them to measure gauge blocks,[16] rods, or similar standards whose lengths are precisely and accurately known. If the gauge block is known to be 0.7500" ± .00005" ("seven-fifty plus or minus fifty millionths", that is, "seven hundred fifty thou plus or minus half a tenth"), then the micrometer should measure it as 0.7500". If the micrometer measures 0.7503", then it is out of calibration. Cleanliness and low (but consistent) torque are especially important when calibrating—each tenth (that is, ten-thousandth of an inch), or hundredth of a millimeter, "counts"; each is important. A mere spec of dirt, or a mere bit too much squeeze, obscure the truth of whether the instrument is able to read correctly. The solution is simply conscientiousness—cleaning, patience, due care and attention, and repeated measurements (good repeatability assures the calibrator that his/her technique is working correctly).