Respuesta :
We can extend 352.83 and write as (3 x 100) + (5 x 10) + (2 x 1) + (8/10) + (3/100)
Step-by-step explanation:
Considering the given value 352.83 we can expand that step by step as,
(3 x 100) which will give us a value of 300.
Now adding the multiplied answer of (5 x 10) will give us 350.
Next we can also add the multiplied answer of (2 x 1 ) which will further give us 352.
Now adding the divided answer of (8/10) we will get 352.08
Finally adding the divided answer of (3/100) we will get the exact value of 352.83 as mentioned above.
The expanded notation for the number [tex]352.83[/tex] is [tex](3\times 100)+(5\times 10)+(2\times 1)+(8\times \dfrac{1}{10})+(3\times \dfrac{1}{100})[/tex]
A number can always be written in the expanded notation by multiplying the face value with the face notation.
Here, [tex]3[/tex] is at the [tex]100th[/tex] place of the number so, it can be written as [tex]3\times 100[/tex].
Similarly, the digits which are located after the decimal point can be expanded by dividing the face value of the number by [tex]10[/tex] raised to the power of face notation.
Here, [tex]8[/tex] is present just after the decimal point and so, its expanded form is [tex]8\times \dfrac{1}{10}[/tex].
Hence, the expanded notation of [tex]352.83[/tex] is [tex](3\times 100)+(5\times 10)+(2\times 1)+(8\times \dfrac{1}{10})+(3\times \dfrac{1}{100})[/tex].
Learn more about expanded notations here:
https://brainly.com/question/401594?referrer=searchResults