Question

How long in meters is 670 nanometers?

Answer 1

Hint: Here we will use the concept of the conversion of units. Meter is a length measuring unit. So firstly we will write the value of 1 nanometer in terms of meters by using the standard value. Then we will multiply both sides of the conversion equation by 670 to get the given 670 nanometers in terms of meters.

Complete step by step solution:
Given length is 670 nanometers.
Firstly we will write the basic conversion of the length unit of nanometers into the meters. We know that 1 nanometer is equal to one-billionth of a meter. Therefore, we get
\[ 1nm = {10^{ - 9}}m\]
Now we will use this basic conversion to get the given nanometers into the meters. As the given length is 670 nanometers so we will multiply both sides of the above equation with 670. Therefore, we get
\[ \Rightarrow 670 \times 1nm = 670 \times {10^{ - 9}}m\]
Now we will simply perform the multiplication in the above equation and solve the equation we get
\[ \Rightarrow 670nm = 670 \times {10^{ - 9}}m = 0.000000670m\]

Hence, the given length i.e. 670 nanometers when converted into meters is equal to \[0.000000670m\].

Note:
We should know the basic terms of the conversation for length or weight or time etc. To convert a dimension given in one unit into another unit we have a converting factor. Generally for converting some dimensions into a smaller unit of measurement then we will multiply it with the converting factor. For converting some dimensions into a larger unit of measurement then we will divide it with the converting factor. We should remember that the kilometer (km), meter (m), inches (in) and centimeter (cm), etc are the units of the measurement of the distance between two points or length. Generally, these converting factors for the conversion of weight or length into the other small units are the multiples of 10.