Answer:
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
