1. Order of Operations Problems

2. Use Parenthesis in different ways! By inserting zero, one or two pairs of parenthesis, list all the numbers you can make from 6 +5 ÷ 5-2. List the numbers from smallest to largest. Repeat this for 7+4÷4-3. What number is the same in the two lists?

3. NONE 6+5÷5-2 = 6+1-2 = 7-2 = 5 1 Pair (6+5)÷5-2=11/5 – 2=11/5-10/5=1/5 1 Pair 6+5÷(5-2)=6+5÷3=6+5/3=18/3+5/3=23/3 2 Pairs (6+5)÷(5-2)=11÷3=11/3 ORDERED 1/5, 11/3, 5, 23/3

4. NONE 7+4÷4-3 = 7+1-3 = 8-3=5 1 Pair (7+4)÷4-3=11/4 – 3=11/4-12/4=-1/4 1 Pair 7+4÷(4-3)=7+4÷1=7+4=11 2 Pairs (7+4)÷(4-3)=11÷1=11 ORDERED -1/4, 5, 11, 11

5. Change the Numbers Compute the following using the Order of Operations 60 +15÷3-6. Change the numbers 60,15,3 and 6 (but not the operations) so that these are 4 different numbers and yet we get the same answer.

6. Change the Numbers Compute the following using the Order of Operations 60+15÷3-6 = 60+5-6 =65-6 =59

7. Change the Numbers to still get 59 Compute the following using the Order of Operations 66+35÷7-12 = 66+5-12 =71-12 =59

8. Change the Operations Change the 4 operations below what numbers can you get? 14 x 3 – 12 + 100 ÷ 2

9. Change the Operations Change the 4 operations below what numbers can you get? 14 x 3 – 12 + 100 ÷ 2 There are 4 operations and 4 positions so 4 4 =256 possibilities