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)

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a) 2(3² - 5)

Resolve what's in the parentheses before multiplying by 2.

2(9 - 5)

2(4)

Final answer: 8b) 2(3 - 5)²

Resolve what's in the parentheses before squaring.

2(-2)²

2(4)

Final answer: 8c) 2²(3 - 5)

Resolve what's in the parentheses before squaring.

2²(-2)

4(-2)

Final answer: -8d) 2 × 3² - 5

Square first, multiply second, subtract last.

2 × 9 - 5

18 - 5

Final answer: 13e) (2 × 3)² - 5

Parentheses first, square second, subtract last.

(6)² - 5

36 - 5

Final answer: 31f) 2(3² - 5²)

Squares inside parentheses first, subtraction inside parentheses next, multiply by 2 last.

2(9 - 25)

2(-16)

Final answer: -32Post a Comment