Given:
![\begin{gathered} a)1.2*10^3 \\ b)7.5*10^^(-4) \end{gathered}]()
To find:
The number given in a specific notation is representing a large or small number.
Step-by-step explanation:
a) It can be written as,
![\begin{gathered} 1.2*10^3=1.2*1000 \\ =1200 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/zdne1ycxtiz710j8qcp9v1upjg86qv7p5j.png)
So, it is a large number.
b) It can be written as,
![\begin{gathered} 7.5*10^(-4)=7.5*(1)/(10^4) \\ =(7.5)/(10000) \\ =0.00075 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/wf047tfoto80xombb82y9y0wsxq3hjojpm.png)
So, it is a small number.
Final answer:
a) Large
b) Small