The solution to 3/2 (-2)-2 is -5

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3/2 (-2)-2

Solution

\frac{3}{2} (- 2) - 2

- 5

Solution steps

\frac{3}{2} (- 2) - 2

Follow the PEMDAS order of operations

Multiply and divide (left to right)

\frac{3}{2} (- 2) : - 3

\frac{3}{2} (- 2)

Apply rule

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

\frac{3}{2} (- 2) = - \frac{3}{2} \cdot 2

Convert element to fraction:

2 = \frac{2}{1}

= - \frac{3}{2} \cdot \frac{2}{1}

Cross-cancel common factor:

2

= - \frac{3}{1}

Divide the numbers:

\frac{3}{1} = 3

= - 3

= - 3 - 2

Add and subtract (left to right)

- 3 - 2 : - 5

- 3 - 2

- 3 - 2 = - 5

= - 5

= - 5

5^{12} \div 6^{9}

6^{2} + 5 \cdot 6 - 2

- 7 [4 (9 - 1)]

- 5 - 2 + 3 - 1

(8 - 2^{3}) \div 3 \times 10 + 7 - 5