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?

Respuesta :

The number 0.000000016 is expressed in scientific notation is:

[tex]1.6 \times 10^{-8}[/tex]

Solution:

Given that,

Charlie learns that a computer processor can perform one command in approximately 0.000000016  nanoseconds

We have to express in scientific notation

Step 1:

Given number is:

0.000000016

Move the decimal point in 0.000000016 until there is only one non-zero digit to the left of the decimal point

Here,

Move the decimal 8 places to the right to get 1.6

We have moved the decimal to left, therefore, exponent is negative

[tex]1.6 \times 10^{-8}[/tex]

Thus the given number is expressed in scientific notation

To convert our number to scientific notation, we are going to move the decimal point to the right until we have only one non-zero digit to the left of the decimal point, and then, we are going to multiply that number by a negative power of 10 equal to the number of times we moved the decimal point to the right:

Our number is 0.000000016, so we need to move the decimal point 8 times to the right to have only one non-zero digit to the left of the decimal point (1.6). Since we moved the decimal point eight times to the right, we are going to multiply 1.6 by y a negative power of 10 equal to the number of times we moved the decimal point to the right i.e. .

So 0.000000016 expressed in scientific notation is 1.6x, or in calculator notation 1.6E-8

We can conclude that the correct answers are 1.6E-8 and 1.6 × 10-8