To solve for p, we need to determine the base of the number system being used. In this case, the base is not specified, so we can assume it is base 10.
In a base 10 number system, each digit has a place value. The rightmost digit is in the ones place, the digit to its left is in the tens place, the digit to its left is in the hundreds place, and so on.
Given (82)p = 84, we can break it down using the place value of each digit:
- The digit in the ones place is 2.
- The digit in the tens place is p.
- Multiply the digit in the tens place by the place value, which is 10^1, resulting in p * 10^1.
Putting the two parts together, we have 2 + p * 10^1 = 84.
Simplifying the equation, we have 2 + 10p = 84.
To isolate p, we can subtract 2 from both sides: 10p = 82.
Dividing both sides by 10, we get p = 8.2.
Since p cannot be a fraction in this context, we round down to the nearest whole number.
Therefore, the value of p is 8.
(01.02 MC)
If (82)p = 84, what is the value of p? (5 points)
2
3
4
6
1 answer
1 answer