Expanded Form of Numeral 98765

To find the expanded form of the numeral 98765, we need to break down the number into its place values and then express each place value separately.

Place Values:
- Ten Thousands: 9
- Thousands: 8
- Hundreds: 7
- Tens: 6
- Ones: 5

Expanded Form:
The expanded form of the numeral 98765 is:

a) 90000 + 8000 + 700 + 60 + 5

Let's break it down further:

- Ten Thousands (90000): This place value is represented by the digit 9 in the numeral 98765. We multiply 9 by the value of the place, which is 10,000. So, 9 * 10,000 = 90,000.

- Thousands (8000): This place value is represented by the digit 8 in the numeral 98765. We multiply 8 by the value of the place, which is 1,000. So, 8 * 1,000 = 8,000.

- Hundreds (700): This place value is represented by the digit 7 in the numeral 98765. We multiply 7 by the value of the place, which is 100. So, 7 * 100 = 700.

- Tens (60): This place value is represented by the digit 6 in the numeral 98765. We multiply 6 by the value of the place, which is 10. So, 6 * 10 = 60.

- Ones (5): This place value is represented by the digit 5 in the numeral 98765. We multiply 5 by the value of the place, which is 1. So, 5 * 1 = 5.

Final Calculation:
Add up all the results from the place values:

90,000 + 8,000 + 700 + 60 + 5 = 98,765

Therefore, the expanded form of the numeral 98765 is 90,000 + 8,000 + 700 + 60 + 5, which is option 'A'.

Note: The expanded form shows the value of each digit in a number, which helps in understanding the place value system and the magnitude of the number.