Basic Math Examples

2 \cdot (18 \cdot 16) + (18 + 16 \cdot 2) \cdot 10 = S

$2 \cdot (18 \cdot 16) + (18 + 16 \cdot 2) \cdot 10 = S$

Step 1

Rewrite the equation as

S = 2 \cdot 18 \cdot 16 + (18 + 16 \cdot 2) \cdot 10

$S = 2 \cdot 18 \cdot 16 + (18 + 16 \cdot 2) \cdot 10$ .

S = 2 \cdot 18 \cdot 16 + (18 + 16 \cdot 2) \cdot 10

$S = 2 \cdot 18 \cdot 16 + (18 + 16 \cdot 2) \cdot 10$

Step 2

Simplify

2 \cdot 18 \cdot 16 + (18 + 16 \cdot 2) \cdot 10

$2 \cdot 18 \cdot 16 + (18 + 16 \cdot 2) \cdot 10$ .

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Step 2.1

Simplify each term.

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Step 2.1.1

Multiply

2 \cdot 18 \cdot 16

$2 \cdot 18 \cdot 16$ .

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Step 2.1.1.1

Multiply

2

$2$ by

18

$18$ .

S = 36 \cdot 16 + (18 + 16 \cdot 2) \cdot 10

$S = 36 \cdot 16 + (18 + 16 \cdot 2) \cdot 10$

Step 2.1.1.2

Multiply

36

$36$ by

16

$16$ .

S = 576 + (18 + 16 \cdot 2) \cdot 10

$S = 576 + (18 + 16 \cdot 2) \cdot 10$

S = 576 + (18 + 16 \cdot 2) \cdot 10

$S = 576 + (18 + 16 \cdot 2) \cdot 10$

Step 2.1.2

Multiply

16

$16$ by

2

$2$ .

S = 576 + (18 + 32) \cdot 10

$S = 576 + (18 + 32) \cdot 10$

Step 2.1.3

Add

18

$18$ and

32

$32$ .

S = 576 + 50 \cdot 10

$S = 576 + 50 \cdot 10$

Step 2.1.4

Multiply

50

$50$ by

10

$10$ .

S = 576 + 500

$S = 576 + 500$

S = 576 + 500

$S = 576 + 500$

Step 2.2

Add

576

$576$ and

500

$500$ .

S = 1076

$S = 1076$

S = 1076

$S = 1076$