WyzAnt.comWhat is the simplified form of the expression 3[14 ÷ (42 – 32) – 5]?
What is the simplified form of the expression 3[14 ÷ (42 – 32) – 5]?
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1 Answer
Use your order of Operations to solve
- Parentheses
- Exponents
- Multiplication and Division, Left to Right
- Addition and subtraction, Left to Right.
So, the inner most parentheses we have is (42 - 32), which gives us 10:
3[14 ÷ 10 - 5]
Division is of higher precedence than subtraction, so next we determine 14 ÷ 10 and get
3[1.4 - 5]
Subtraction within the brackets is next:
3 [-3.6]
And now, with only a constant inside the brackets, multiply:
3 * [-3.6] = -10.8
Comments
3[14/(42-32) - 5] = 3[14/10 - 5] = 3[7/5 - 5] = 3[7/5 - 25/5] = 3[-18/5] = -54/5 = -10.8
- Herb K. 1/17/2013