Question

Select all the correct answers. Charles is reading about computers. He learns that a computer processor can perform one command in approximately 0. 000000016 nanoseconds. What is this number expressed in scientific notation? 1. 6E-8 1. 6 × 10-7 1. 6 × 10-8 1. 6E-7 1. 6 × 108 1. 6E8 1. 6 × 107 1. 6.00E+07.

Answer 1

Scientific notation uses expression which gives easy access of order. The scientific notation of given number is: Option A: 1.6E-8

How to convert a number to scientific notation?

It is usually of the form $a.bc.. \times 10^k$exponent of 10 starts)

(we have 1 ≤ |a| < 10 ) (where |a| is magnitude of a without sign)

This notation is used to get some idea of how large or small a number is in terms of power of 10.

What are some basic properties of exponentiation?

If we have $a^b$  then 'a' is called base and 'b' is called power or exponent and we call it "a is raised to the power b" (this statement might change from text to text slightly).

Exponentiation(the process of raising some number to some power) have some basic rules as:

$a^{-b} = \dfrac{1}{a^b}\\\\a^0 = 1 (a \neq 0)\\\\a^1 = a\\\\(a^b)^c = a^{b \times c}\\ a^b \times a^c = a^{b+c}$

The given number is converted in scientific notation as:

$0. 000000016 = \dfrac{1.6}{100000000} = \dfrac{1.6}{10^8} = 1.6 \times 10^{-8} = 1.6 E -8$

Thus, the scientific notation of given number is: Option A: 1.6E-8

Learn more about scientific notation here:
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