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