Question

Colleen says she is thinking of a 4-digit number in which all the digits are the same. The value of the digit in the hundreds place is 200. What is the number? Explain

Answer 1

Colleen's 4-digit number with all the same digits and the hundreds place valued at 200 is 2222, because each '2' digit in the hundreds place is worth 100, making the value 200.

Step-by-step explanation:

Colleen is thinking of a 4-digit number where all the digits are the same and the value of the digit in the hundreds place is 200. This implies that the digit in the hundreds place is 2, because as per the concept of place values, the hundreds place digit is valued at 100 times the digit. Therefore, the digit itself must be 2 to make the value in the hundreds place 200.

Since all digits in the number are the same, every digit in this 4-digit number has to be a 2. Thus, the number Colleen is thinking of is 2222.