Flash Card Game - A. Make flash cards of numbers from 0 to 9. Make the desired number according to the rules given below by placing these cards appropriately at tens and ones place. i. A number greater than 50. ii. A number less than 30. iii. A number between 47 and 59. iv. Which is the smallest two-digit number you can make? v. Which is the largest two-digit number you can make? Why do you think that the number you made is the largest?
Any number from 51 to 99, such as 67, 75, 89, etc.
Any number from 10 to 29, such as 15, 23, 28, etc.
48, 49, 50, 51, 52, 53, 54, 55, 56, 57, or 58.
10 is the smallest two-digit number.
99 is the largest two-digit number. It has the largest possible digit (9) in both tens and ones places, so no other two-digit number can be greater.
Explanation
(i) Place a digit 5-9 in the tens place. The ones digit can be 0-9. (ii) Place digit 1 or 2 in the tens place. If tens digit is 2, ones must be 0-9. (iii) Numbers strictly between 47 and 59, excluding both endpoints. (iv) Smallest non-zero digit (1) in tens place and smallest digit (0) in ones place. (v) The largest digit 9 in both places gives the maximum value. Any other combination would have at least one digit smaller than 9.