Question

Nancy wrote the greatest number that can be made using each of these digits exactly once. 5,3,4,9,8,1. Part A what was Nancy's number? how do you know this is the greatest possible number for this digits?.Part B What is the least number that can be made using each digit exactly once? explain why the value of the 4 is greater than the value of the 5

Answer 1

Part A: 985,431

Part B: 134,589

Explanation:

In order to solve part A, you just have to take the greatest digit and place it in the far left place of the number, and continue to the next greatest digit, placing it to the right of the last number, this will create a decreasing ladder of digits among the decreasing values of the number, this way Thousands-hundreds-tens-, so you will have the greatest number possible in the highest valued place possible.

To calculate the lowest number possible you just have to do the process for the greatest but instead of taking the highest digit possible, you use the lowest one, this way you will have the lowest number in the highest value position.

The value of 4 is greater than the value of 5 because the 4 represents in the number the thousands, and the 5 in the number represents the hundreds.