What is -4{5+2[5+(-8)]} ?

The solution to -4{5+2[5+(-8)]} is 4

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-4{5+2[5+(-8)]}

- 4 {5 + 2 [5 + (- 8)]}

4

Solution steps

- 4 {5 + 2 [5 + (- 8)]}

Follow the PEMDAS order of operations

Calculate within parentheses

{5 + 2 [5 + (- 8)]} : - 1

5 + 2 [5 + (- 8)]

Calculate within parentheses

[5 + (- 8)] : - 3

5 + (- 8)

Add and subtract (left to right)

Apply rule

+ (- a) = - a

+ (- 8) = - 8

= 5 - 8

5 - 8 = - 3

= - 3

= 5 + 2 (- 3)

Multiply and divide (left to right)

2 (- 3) : - 6

2 (- 3)

Apply rule

a \cdot (- b) = - a \cdot b

2 (- 3) = - 2 \cdot 3 = - 6

= - 6

= 5 - 6

Add and subtract (left to right)

5 - 6 : - 1

5 - 6

5 - 6 = - 1

= - 1

= - 1

= - 4 (- 1)

Multiply and divide (left to right)

- 4 (- 1) : 4

- 4 (- 1)

Apply rule

- a \cdot (- b) = a \cdot b

- 4 (- 1) = 4 \cdot 1 = 4

= 4

= 4

(- 3) \times 3 \times (- 3) \times (- 3) \times 3

9 - 15 + 4

3 \times (2 \times 4^{3}) \div 4

1 - 2 - 3 - 5 + 6 - 7 + 10 + 11 - 13

- 5 + (- 2) \frac{1}{3}