Answer :

To convert a weight from pounds to kilograms, we use the conversion factor that

[tex]$$1 \text{ pound} = 0.453592 \text{ kilograms}.$$[/tex]

Given that we have [tex]$196$[/tex] pounds, the weight in kilograms before rounding is calculated as follows:

[tex]$$
\text{kilograms} = 196 \times 0.453592 = 88.904032.
$$[/tex]

Now, we are asked to round this result to the nearest tenth. When rounding [tex]$88.904032$[/tex], we look at the hundredths digit (which is [tex]$0$[/tex]). Since [tex]$0$[/tex] is less than [tex]$5$[/tex], the tenths digit remains the same. Thus, the rounded result is

[tex]$$88.9 \text{ kilograms}.$$[/tex]

So, [tex]$196$[/tex] pounds is approximately [tex]$88.9$[/tex] kg when rounded to the nearest tenth.