Question

suppose some computations were done on a calculator.
the result displayed was 3.66e-27 for one computation.
the result displayed was 5.529e32 for another computation.
write these numbers in scientific notation.
(a) 3.66e-27 =
(b) 5.529e32 =

Explanation:

Step1: Recall scientific notation with E-notation

In calculator E - notation, \(a\text{E}b\) is equivalent to \(a\times10^{b}\) in scientific notation.

Step2: Convert \(3.66\text{E}-27\)

For \(3.66\text{E}-27\), using the rule \(a\text{E}b=a\times 10^{b}\), we substitute \(a = 3.66\) and \(b=- 27\). So \(3.66\text{E}-27=3.66\times10^{-27}\).

Step3: Convert \(5.529\text{E}32\)

For \(5.529\text{E}32\), using the rule \(a\text{E}b = a\times10^{b}\), we substitute \(a = 5.529\) and \(b = 32\). So \(5.529\text{E}32=5.529\times10^{32}\).

Answer:

(a) \(3.66\times10^{-27}\)
(b) \(5.529\times10^{32}\)