Final answer:
To round 25,823 to the nearest ten thousands place, we observe the thousands digit and apply rounding rules. Since the thousands digit is 5, we round up from 20,000 to 30,000.
Step-by-step explanation:
To round the number 25,823 to the nearest ten thousands place, we must look at the thousands digit, which is a 5 in this case. If this digit is 5 or more, we round up to the next ten thousand. If it is less than 5, we round down. Since the thousands digit is 5, we round up.
The ten thousands place numbers that are closest to 25,823 are 20,000 and 30,000. According to our rounding rule, we will round up to 30,000 because the thousands digit (5) indicates that 25,823 is closer to 30,000.