Answer :

We are given the number

[tex]$$85{,}193.$$[/tex]

Step 1: Write out the digits of the number. In this case, from left to right the digits are:

[tex]$$8,\ 5,\ 1,\ 9,\ 3.$$[/tex]

Step 2: Identify the places for each digit in a five-digit number. The place values are as follows:

- The first digit is in the ten-thousands place.
- The second digit is in the thousands place.
- The third digit is in the hundreds place.
- The fourth digit is in the tens place.
- The fifth digit is in the ones place.

Step 3: Since the digit [tex]$8$[/tex] is the first digit, it is in the ten-thousands place.

Thus, the place value of the digit [tex]$8$[/tex] in [tex]$85{,}193$[/tex] is:

[tex]$$\textbf{ten-thousands}.$$[/tex]

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