# Fun Arithmetic Created by Inna Shapiro ©2008 Problem 1 Max has ten cards with the digits 0, 1, 2,…9. He can arrange these cards into different 10-digit.

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Fun Arithmetic Created by Inna Shapiro ©2008

Problem 1 Max has ten cards with the digits 0, 1, 2,…9. He can arrange these cards into different 10-digit numbers. What is the greatest number that he can get?

Answer The greatest number should start with the greatest digit 9. The second digit will be the greatest of the rest, i.e. 8, and so on. The greatest number is 9876543210.

Problem 2 A teacher has four cards with numbers. The sum of these numbers is equal to 8. When the teacher shows these cards to Mary and asks to multiply the numbers, Mary also gets 8. What numbers are on the cards? Some numbers could be equal.

Answer The numbers are 1, 1, 2, and 4.

Problem 3 Ron has five cards with the digit 1. How can he arrange them to compose the number 100 using the arithmetic operations +, -, *, and / ?

Problem 4 Monty has five cards with the digit 5. How can he arrange his cards to get the number 100 using the arithmetic operations +, -, *, and / ?

Problem 5 There are nine cards with different digits 1,2,3,4,5,6,7,8,9. Can you compose number 100 using all these cards in the same order and the arithmetic operations +, -, *, and / ?

Problem 6 Can you replace # by arithmetic operations so that the following expression will be equal to 100? You can use parentheses. 1#2#3#4#5

Problem 7 Jerry has four cards with the digit 2. How can he arrange these cards to get 0, 1, 2, 3, 4, 5, 6, 8, 9, or 10? Jerry can use arithmetic operations +, -, *, and /.

Answer 22-22=0 22:22=1 2:2+2:2=2 (2+2+2):2=3 2*2+2-2=4

Answer /continued/ 2*2+2:2=5 2*2*2-2=6 2 +2+2+2=8 22:2-2=9 2*2*2+2=10

Problem 8 Can you put in parentheses so that this expression will be equal to 23? 7*9+12:3-2

Problem 9 Can you put parentheses in the same expression to make it equal to 75? 7*9+12:3-2