Express each number in scientific notation.

(a) 0.00000000007461 m (length of a hydrogen-hydrogen chemical bond)

(b) 0.0000158 mi (number of miles in an inch)

(c) 0.000000632 m (wavelength of red light)

(d) 0 .000015 m (diameter of a human hair)

Solution 33P

Scientific notation (also referred to as standard form or standard index form) is a way of expressing numbers that are too big or too small to be conveniently written in decimal form. It is commonly used by scientists, mathematicians and engineers, in part because it can simplify certain arithmetic operations.

(a) 0.00000000007461 m (length of a hydrogen-hydrogen chemical bond)

For the above question we can write the scientific notation as follows:

...