Monday, July 2, 2012

Order of operations practice

Using the rules of order of operations, find the values of the following expressions.

a) 2(3² - 5)

b) 2(3 - 5)² 

c) 2²(3 - 5)

d) 2 × 3² - 5 

e) (2 × 3)² - 5

f) 2(3² - 5²)

Answers in the comments.

at

1 comment:

  1. Prof. HubbardJuly 2, 2012 at 5:44 AM

    a) 2(3² - 5)
    Resolve what's in the parentheses before multiplying by 2.

    2(9 - 5)
    2(4)
    Final answer: 8

    b) 2(3 - 5)²
    Resolve what's in the parentheses before squaring.

    2(-2)²
    2(4)
    Final answer: 8


    c) 2²(3 - 5)
    Resolve what's in the parentheses before squaring.

    2²(-2)
    4(-2)
    Final answer: -8

    d) 2 × 3² - 5
    Square first, multiply second, subtract last.

    2 × 9 - 5
    18 - 5
    Final answer: 13

    e) (2 × 3)² - 5
    Parentheses first, square second, subtract last.

    (6)² - 5
    36 - 5
    Final answer: 31

    f) 2(3² - 5²)
    Squares inside parentheses first, subtraction inside parentheses next, multiply by 2 last.

    2(9 - 25)
    2(-16)
    Final answer: -32

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