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Exponents
The Order
What do you do 1st?
Solve this!
Okay, then solve these!!
100
4^2
4 x 4 = 16
100
You can solve any expression (problem) in whatever way you want, it won't change your answer. (True or false) #Longhairdontcare
FALSE!!!
100
What do you do first: 11 + 3 x 1 =
3 x 1 = 3
100
5 + 4 x 3 - 8 =
5 + 12 - 8 17 - 8 = 9 9
100
12 - (6 + 4^3) / 7 = / is a division sign
12 - (6 + 64) / 7 12 + 70 / 7 12 + 10 = 22 22
200
7^2
7 x 7 = 49
200
What do you do first in order of operations?
parentheses
200
What do you do first: 3 x 4 + 5^5 - (9+1) x 3
(9 + 1) = 10
200
6^2 / (5-3) x 3 = / is a division sign
6^2 / 2 x 3 36 / 2 x 3 18 x 3 = 54 54
200
(28 / 4) - 3 + 8^1 = / is a division sign
7 - 3 + 8^1 7 - 3 + 8 4 + 8 = 12 12
300
5^3
5 x 5 x 5 = 125
300
What do you do if a certain operation isn't in a problem? What order do you follow? Example: 50 - 4 x 3 + 11 = (there aren't parentheses or exponents)
skip that operation or stage but still follow the order of operations
300
What do you do first: 18 - 4 + 5 =
18 - 4 = 14
300
42 / (5 x 2 - 2^2) = / is a division sign
42 / (5 x 2 - 4) 42 / (10 - 4) 42 / 6 = 7 7
300
(56 / 2^3 +3) x 2.6 = / is a division sign
(56 / 8 +3) x 2.6 (7 + 3 ) x 2.6 10 x 2.6 = 26 26
400
6^4
6 x 6 x 6 x 6 = 1296
400
Which operation do you do first, addition or subtraction?
Whichever comes first, going left to right
400
What do you do first: 50 / 5 x 2 + 9 = / is a division sign
50 / 5 = 10
400
5^3 - 20 x 3 + 18 / 3^2 = / is a division sign
125 - 20 x 3 + 18 / 9 125 - 60 + 2 65 + 2 = 67 67
400
(5^3 / 5^2)^2 - (3^1 + 2^4) = / is a division sign
(125 / 25)^2 - (3 + 16) 5^2 - 19 25 - 19 = 6 6
500
7^4
7 x 7 x 7 x 7 = 2401
500
Which operation do you do first, multiplication or division?
Whichever comes first, going left to right
500
What do you do first: 8 x (5 + 6 x 3)^2 - 8 =
6 x 3 = 18 then do 5 + 18 = 23
500
0.6 x (8^2 - 12 x 5) + 1^4 =
0.6 x (64 - 12 x 5) + 1^4 0.6 x (64 - 60) + 1^4 0.6 x 4 + 1^4 0.6 x 4 + 1 2.4 + 1 = 3.4
500
8^3 x 5^0 - 3 x 10^2
512 x 1 - 3 x 100 512 - 300 = 212 212