Question

Suppose some computations were done on a calculator.

The result displayed was 7.97E33 for one computation.
The result displayed was 7.6E-37 for another computation.
Write these numbers in scientific notation.
(a) 7.97E33 =
(b) 7.6E-37 =

Answer 1

(a) 7.97E33 = 7.97 x 10^33

(b) 7.6E-37 = 7.6 x 10^-37

Explanation:

In scientific notation, a number is written as the product of a decimal number between 1 and 10 and a power of 10. The decimal number is called the mantissa, and the power of 10 is called the exponent. The mantissa indicates the significant digits of the number, while the exponent tells us the size of the number relative to 1. In the given calculator computations, the numbers are already written in scientific notation, where "E" represents the exponent notation. We just need to convert them into the standard form of scientific notation by expanding the notation as a product of the mantissa and the power of 10.