What is -2\div 3(-3) ?

The solution to -2\div 3(-3) is 2

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-2\div 3(-3)

- 2 \div 3 (- 3)

2

Solution steps

- 2 \div 3 (- 3)

Follow the PEMDAS order of operations

Multiply and divide (left to right)

- 2 \div 3 = \frac{- 2}{3}

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

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

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

Apply rule

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

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

Convert element to fraction:

3 = \frac{3}{1}

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

Cross-cancel common factor:

3

= - \frac{- 2}{1}

Divide the numbers:

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

= - (- 2)

Apply rule:

- (- a) = a

- (- 2) = 2

= 2

= 2

- 9 + {- 5 [- 7 - (- 3 \cdot 4)] + 6} - 4

2 - 3 + 8

9 \times 7 - (21 - 6) \div 3 + 18 \div 9 - 4

2 - \frac{3}{2}

4 (3)^{2} - 3 (3) + 7