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# What 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]?

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

1/17/2013

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

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