Question

suppose some computations were done on a calculator. the result displayed was 6e-41 for one computation. the result displayed was 6.28e28 for another computation. write these numbers in scientific notation. (a) 6e-41 = \square (b) 6.28e28 = \square

Explanation:

Step1: Recall scientific notation

Scientific notation is in the form \( a \times 10^n \), where \( 1 \leq |a| < 10 \) and \( n \) is an integer. The "E" in calculator display stands for "times 10 to the power of".

Step2: Convert \( 6E - 41 \)

For \( 6E - 41 \), this means \( 6 \times 10^{-41} \) since the number after "E" is the exponent of 10.

Step3: Convert \( 6.28E28 \)

For \( 6.28E28 \), this means \( 6.28 \times 10^{28} \) as the number after "E" is the exponent of 10.

Answer:

(a) \( 6 \times 10^{-41} \)
(b) \( 6.28 \times 10^{28} \)