Question

The number 5 00 is missing a digit. The number rounded to the nearest thousand is 5,000. List all of the possibilities for the missing digit. Explain your answer.

Answer 1

The possibilities are: Any number from 0 to 4, inclusively.

Answer 2

Explanation:

Given is a four digit number with 2nd digit missing

The 1000 th digit is 5, 10th and unit digits are 0

Also given that when rounded to the nearest thousand the number becomes 5000.

From this we can say that 2nd digit cannot be greater than or equal to 5

Hence the 2nd digit can be either 1 or 2 or 3 or 4 alone

Possibilities for the missing digit = 4 with values 1 or 2 or 3 or 4

because these values only when rounded off will result in 5000. Otherwise the rounding off would have become 6000