Convert the number from standard notation to scientific form.

Question

Convert the number  from standard notation to scientific form.

Quizplus · Accepted Answer

Scientific notation requires the number to be in the format a x 10^b, where a is a number between 1 and 10 and b is an integer. To convert the given number to scientific notation, we count how many numbers are there before the underscore character (excluding the "ec" and "e" digits) and subtract 1. In this case, there are 11 digits before the underscore, so we get:

a = 1.1ec19db_84e1_1be8_9dbe_2d3b3303b509
b = 11 - 1 = 10

To get a in the correct format, we realize that "ec" represents a hexadecimal exponent, which means we need to convert it to a decimal exponent. The hexadecimal number is 1ec19db, which has the decimal value 50813947. So we get:

a = 1.50813947 x 16^8 + 8.624931 x 16^4 + 1.740013 x 16^0 + ...
b = 10

The final answer is:

Answer: B
 1.50813947 x 16^10_TBXC8673_11

Convert the Number from Standard Notation to Scientific Form