Ben and jim are exchanging their phone numbers
and they realize that they each have the same
digits in their phone numbers. the numerals are
1, 3, 5, 6, 7, 8, and 9. ben's phone number is
the smallest number created using these digits and
jim's phone number is the largest number created
using these digits. what are their phone numbers?

Ben's phone number is 1,356,789

Jim's phone number is 9,876,531

Step-by-step explanation:

* Lets explain how we can find the two phone numbers

- If two numbers have the same number of digits then the smallest one

 which has the smallest number in the greatest place value and the

 greatest one which has the greatest number in the greatest place

 value

- Ex: the digits are 2 , 3 , 7 you want to form from them the largest and

 the smallest numbers

- The greatest place value is hundreds and the smallest place value

  is ones

# The smallest number is 237 we put the smallest number (2) in the

   greatest place value (hundred) and the greatest number (7) in the

   smallest place value (ones)

# The greatest number is 732 we put the greatest number (7) in the

  greatest place value (hundred) and the smallest number (2) in the

  smallest place value (ones)

* Lets solve the problem

- Ben and Jim realize that they each have the same  digits in their

 phone numbers

- The digits are: 1  ,  3  ,  5   ,  6  ,  7  ,  8  ,  9

- Ben's phone number is  the smallest number created using these digits

- Jim's phone number is the largest number created  using these digits

- There are seven digits to form the phone numbers

∴ The greatest place value is millions and the smallest place value

   is ones

- Arrange the number from smallest to largest to form the smallest one

∵ The numbers are 1  ,  3  ,  5   ,  6  ,  7  ,  8  ,  9

∴ Ben's phone number is 1,356,789

- Arrange the number from largest to smallest to form the greatest one

∵ The numbers are 9  ,  8  ,  7   ,  6  ,  5  ,  3  ,  1

∴ Jim's phone number is 9,876,531