What is 5\times 2^2-2\times 5\times (-3)-3\times (-1) ?

The solution to 5\times 2^2-2\times 5\times (-3)-3\times (-1) is 53

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5\times 2^2-2\times 5\times (-3)-3\times (-1)

5 \cdot 2^{2} - 2 \cdot 5 \cdot (- 3) - 3 \cdot (- 1)

53

Solution steps

5 \cdot 2^{2} - 2 \cdot 5 (- 3) - 3 (- 1)

Follow the PEMDAS order of operations

Calculate exponents

2^{2} : 4

2^{2}

2^{2} = 4

= 4

= 5 \cdot 4 - 2 \cdot 5 (- 3) - 3 (- 1)

Multiply and divide (left to right)

5 \cdot 4 : 20

5 \cdot 4

5 \cdot 4 = 20

= 20

= 20 - 2 \cdot 5 (- 3) - 3 (- 1)

Multiply and divide (left to right)

2 \cdot 5 (- 3) : - 30

2 \cdot 5 (- 3)

2 \cdot 5 = 10

= 10 (- 3)

Apply rule

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

10 (- 3) = - 10 \cdot 3 = - 30

= - 30

= 20 - (- 30) - 3 (- 1)

Multiply and divide (left to right)

3 (- 1) : - 3

3 (- 1)

Apply rule

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

3 (- 1) = - 3 \cdot 1 = - 3

= - 3

= 20 - (- 30) - (- 3)

Add and subtract (left to right)

20 - (- 30) - (- 3) : 53

20 - (- 30) - (- 3)

Apply rule

- (- a) = + a

- (- 30) = + 30

= 20 + 30 - (- 3)

20 + 30 = 50

= 50 - (- 3)

Apply rule

- (- a) = + a

- (- 3) = + 3

= 50 + 3

50 + 3 = 53

= 53

= 53

4 \times 4^{2} - 1 - 3

\frac{( 5 - 2 ) 180}{5}

15 \times \frac{1}{8}

- 7 \cdot 8 - (- 12) - 3

- 2 (- 3 + 6)

What is 5\times 2^2-2\times 5\times (-3)-3\times (-1) ?
The solution to 5\times 2^2-2\times 5\times (-3)-3\times (-1) is 53