Question

What is 30,000 expressed in scientific notation?A.3 x 10^4B.3 x 1000^2C.3 x 10^3D.1 x 10^3

Answer 1

`A)3\cdot10^4`

Step-by-step explanation

Scientific notation is a way to write very large or very small numbers so that they are easier to read and work with, a number in scientific notation has the form

`\begin{gathered} a\cdot10^b \\ \text{where a is the coefficient } \\ \text{and b is the exponent} \end{gathered}`

now, to convert a number to scientific notation we need

Step 1

a)place or move the decimal point of a number until the coefficient of the number is greater than 1 and less than 10.

so

b)now, count the number of digits you need to move the beginning decimal to get to where your decimal is now. If you move the decimal to the left, then your power is positive.

so, 4 units to left, positive exponent

c)now, rewrite the number

let

`\begin{gathered} a=\text{ coefficient=3} \\ b=\text{ exponent }\Rightarrow places\Rightarrow4(\text{ pos}itive\text{ because teh dot was moved to left)} \end{gathered}`

hence

`\begin{gathered} a\cdot10^b \\ 3\cdot10^4 \end{gathered}`

therefore, the answer is

`A)3\cdot10^4`

I hope this helps you