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Order of Operations Problems

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?

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

ORDERED1/5, 11/3, 5, 23/3

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

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.

Change the Numbers

Compute the following using the Order of Operations

60+15÷3-6= 60+5-6

=65-6=59

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

Change the Operations

Change the 4 operations below what numbers can you get?

14 x 3 – 12 + 100 ÷ 2

Change the Operations

Change the 4 operations below what numbers can you get?

14 x 3 – 12 + 100 ÷ 2There are 4 operations and 4

positions so 44=256 possibilities