Question

Show that 0-58200-48826-5 is a valid UPC number.

Answer 1

To show that 0-58200-48826-5 is a valid UPC number, you need to remove the dashes, calculate the sum of the digits, and check if it is a multiple of 10.

Step-by-step explanation:

A valid UPC number has a specific format and follows certain rules. Here is how you can show that 0-58200-48826-5 is a valid UPC number:

1. Remove the dashes from the number: 058200488265
2. Starting from the rightmost digit, multiply every alternate digit by 3 and sum them up: 5 + 2 + 0 + 8 + 0 + 5 = 20
3. Take the sum from the previous step and add it to the sum of the remaining digits: 20 + 8 + 0 + 4 + 8 + 2 + 6 = 48
4. The result from the previous step should be a multiple of 10 for the UPC number to be valid: 48 % 10 = 8

Since the remainder is 8, which is equal to the check digit (the last digit in the original UPC number), we can conclude that 0-58200-48826-5 is a valid UPC number.

Answer 2

Proved

Step-by-step explanation:

Given

`UPC = 0-58200-48826-5`

Required

Show that it is valid

Add up the elements at odd positions

`Odd = 0 + 8 + 0 + 4+8+6`

`Odd = 26`

Multiply by 3

`Product = 26 * 3`

`Product = 78`

Add up the elements at even positions

`Even = 5 + 2 + 0 + 8 + 2 + 5`

`Even = 22`

Add up both results

`Result = 78 +22`

`Result = 100`

Take modulus of 10

`Result \% 10 = 100 \% 10`

`Result \% 10 = 0`

Since the result of the modulus is 0, then the number is valid