Order of Operations
4 steps
Parenthesis
Exponents
Multiply/Divide
Add/Subtract
( 9 + 5 ) + 14 ÷ (-7)
12
(11 - (-4) x 8 ) + (12 ÷ 3 )
(-4) x 8
You are scuba diving in Florida. You are 65ft deep. While you are scuba diving, your friend is parasailing and is 500 feet up in the air. What is the distance between your elevation and your friends?
-65 - 500 = -565 BUT distance is always positive so 565 feet
What do you do if you have multiple things to do in the same step? (Example: you have multiplication and division, or you have addition and subtraction)
left to right
15 - 10 ÷ 5 + 5 - 15 x (-9)
10 ÷ 5
You are keeping track of inventory at your phone store. On Monday, you started with 64 phones. You then sold 23 phones on Monday, 25 phone on Tuesday, and 32 phones on Wednesday. Thursday morning, you got a shipment with 50 more phones for your store. How many phones does your store have in stock right now?
34 phones
(10 - 30 ) ÷ ( -1 + (-3) )
5
(56 x 4(18 - 3)) ÷ 15
(18 - 3)
The coldest temperature ever recorded in Arkansas was 29 degrees below in 1905. The warmest temperature ever recorded in Arkansas was 120 in 1926. What is the difference between the coldest and warmest temperatures ever recorded in Arkansas?
-29 - 120 = -149
The difference is -149 degrees
8 + (14 - 4 ) - 5(12 - 2 )
-32
9(-6 - (-8) + 5(8 - 11)) x 15 - (-3)
(8 - 11)
6 - 2(-13 - 3(4 - 9)) x 2
You are in New Orleans at an elevation of 6 ft below sea level. Your best friend is in Bentonville, AR at an elevation of 1296 ft above sea level. What is the distance between you and your friend's elevations?
-6 - 1296 = -1302 ft
Distance is ALWAYS positive so the distance between us is 1302 feet.
(9 + 9 x 3 ) ÷ 12 + 3
6
-24 - 8 + 53 - (-18) + 6(-4) - 11
6(-4)
-5(-6 - 4(5-8)) - 6(-5 - (-3))
-18