When we encounter multiple operations in a problem, we use the order of operations. The order of operations: 1) Parentheses, 2) Exponents, 3) Multiply or Divide (working from left to right), 4) Add or Subtract (working from left to right).
Test Objectives:•Demonstrate a memorization of the Order of Operations
•Demonstrate an understanding of how to perform the steps MD and AS in PEMDAS
•Demonstrate the ability to solve a problem with multiple operations using the Order of Operations
Order of Operations with Integers Test:
#1:
Instructions: Evaluate each
a) [(-1 - (-21)) x 2] ÷ (9 + 1) - (-15)^{2}
#2:
Instructions: Evaluate each
a) -24 + 3 + 8 - [(-1 + 13)^{2} - (2 + 13)]
#3:
Instructions: Evaluate each
a) (-30 x 2) ÷ [(28 - 26) x (-19 - (-13))]
#4:
Instructions: Evaluate each
a) [(-18 + 9) x 3] ÷ (-10 - 22 + 18 + |-5|)
#5:
Instructions: Evaluate each
a) [-23 - (8 + (-12) x 2 - 1 - 12)] ÷ (-21 - (-20))
Written Solutions:
Solution:
a) [(-1 - (-21)) x 2] ÷ (9 + 1) - (-15)^{2} = -221
Solution:
a) -24 + 3 + 8 - [(-1 + 13)^{2} - (2 + 13)] = -142
Solution:
a) (-30 x 2) ÷ [(28 - 26) x (-19 - (-13))] = 5
Solution:
a) [(-18 + 9) x 3] ÷ (-10 - 22 + 18 + |-5|) = 3
Solution:
a) [-23 - (8 + (-12) x 2 - 1 - 12)] ÷ (-21 - (-20)) = -6