To solve the present problem, we need to remember some properties of the number, such as:
![\begin{gathered} 1.2=1.20=1.200000 \\ .1=0.1 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/x7elmt7shz4m778an8eoxa1obl6d1ek1nb.png)
From this, we are able to determine the following:
![\begin{gathered} 32.4=32.40\to32.4<32.41 \\ \text{because .40<.41} \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/rzofka09tixpi33vkxrk3v3q4gf3srwiix.png)
From this, we are able to answer 4. is <
About number 5. we have:
![\begin{gathered} .001=0.001\to0.002>.001 \\ \text{because 2 > 1} \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/8tux6hq4hwqeoq7byldwdubscnig851edy.png)
This allows us to answer number 5. as >
About number 6. we can just check the integer part of the numbers because 34<64, and from this, we answer 6. is <
From the above solution, we have the following answers:
![\begin{gathered} 4. \\ 32.4<32.41 \\ \\ 5. \\ 0.002>\text{ }.001 \\ \\ 6. \\ 34.578<46.2 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/jemjk923ca8ypc52uvm8dh8vj81j02smkp.png)