Search
Ask a question
0

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]?

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

1 Answer by Expert Tutors

Tutors, sign in to answer this question.
Kevin S. |
5.0 5.0 (4 lesson ratings) (4)
1

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