Algebra Examples

$\frac{1}{2} \cdot \frac{1}{2} \cdot \frac{1}{2} \cdot \frac{1}{2} \cdot \frac{1}{2} \cdot \frac{1}{2} \cdot \frac{1}{2} \cdot \frac{1}{2} \cdot \frac{1}{2} \cdot \frac{1}{2}$

Step 1

Multiply $\frac{1}{2} \cdot \frac{1}{2}$ .

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Step 1.1

Multiply $\frac{1}{2}$ by $\frac{1}{2}$ .

$\frac{1}{2 \cdot 2} \cdot \frac{1}{2} \cdot \frac{1}{2} \cdot \frac{1}{2} \cdot \frac{1}{2} \cdot \frac{1}{2} \cdot \frac{1}{2} \cdot \frac{1}{2} \cdot \frac{1}{2}$

Step 1.2

Multiply $2$ by $2$ .

$\frac{1}{4} \cdot \frac{1}{2} \cdot \frac{1}{2} \cdot \frac{1}{2} \cdot \frac{1}{2} \cdot \frac{1}{2} \cdot \frac{1}{2} \cdot \frac{1}{2} \cdot \frac{1}{2}$

Step 2

Multiply $\frac{1}{4} \cdot \frac{1}{2}$ .

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Step 2.1

Multiply $\frac{1}{4}$ by $\frac{1}{2}$ .

$\frac{1}{4 \cdot 2} \cdot \frac{1}{2} \cdot \frac{1}{2} \cdot \frac{1}{2} \cdot \frac{1}{2} \cdot \frac{1}{2} \cdot \frac{1}{2} \cdot \frac{1}{2}$

Step 2.2

Multiply $4$ by $2$ .

$\frac{1}{8} \cdot \frac{1}{2} \cdot \frac{1}{2} \cdot \frac{1}{2} \cdot \frac{1}{2} \cdot \frac{1}{2} \cdot \frac{1}{2} \cdot \frac{1}{2}$

Step 3

Multiply $\frac{1}{8} \cdot \frac{1}{2}$ .

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Step 3.1

Multiply $\frac{1}{8}$ by $\frac{1}{2}$ .

$\frac{1}{8 \cdot 2} \cdot \frac{1}{2} \cdot \frac{1}{2} \cdot \frac{1}{2} \cdot \frac{1}{2} \cdot \frac{1}{2} \cdot \frac{1}{2}$

Step 3.2

Multiply $8$ by $2$ .

$\frac{1}{16} \cdot \frac{1}{2} \cdot \frac{1}{2} \cdot \frac{1}{2} \cdot \frac{1}{2} \cdot \frac{1}{2} \cdot \frac{1}{2}$

Step 4

Multiply $\frac{1}{16} \cdot \frac{1}{2}$ .

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Step 4.1

Multiply $\frac{1}{16}$ by $\frac{1}{2}$ .

$\frac{1}{16 \cdot 2} \cdot \frac{1}{2} \cdot \frac{1}{2} \cdot \frac{1}{2} \cdot \frac{1}{2} \cdot \frac{1}{2}$

Step 4.2

Multiply $16$ by $2$ .

$\frac{1}{32} \cdot \frac{1}{2} \cdot \frac{1}{2} \cdot \frac{1}{2} \cdot \frac{1}{2} \cdot \frac{1}{2}$

Step 5

Multiply $\frac{1}{32} \cdot \frac{1}{2}$ .

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Step 5.1

Multiply $\frac{1}{32}$ by $\frac{1}{2}$ .

$\frac{1}{32 \cdot 2} \cdot \frac{1}{2} \cdot \frac{1}{2} \cdot \frac{1}{2} \cdot \frac{1}{2}$

Step 5.2

Multiply $32$ by $2$ .

$\frac{1}{64} \cdot \frac{1}{2} \cdot \frac{1}{2} \cdot \frac{1}{2} \cdot \frac{1}{2}$

Step 6

Multiply $\frac{1}{64} \cdot \frac{1}{2}$ .

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Step 6.1

Multiply $\frac{1}{64}$ by $\frac{1}{2}$ .

$\frac{1}{64 \cdot 2} \cdot \frac{1}{2} \cdot \frac{1}{2} \cdot \frac{1}{2}$

Step 6.2

Multiply $64$ by $2$ .

$\frac{1}{128} \cdot \frac{1}{2} \cdot \frac{1}{2} \cdot \frac{1}{2}$

Step 7

Multiply $\frac{1}{128} \cdot \frac{1}{2}$ .

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Step 7.1

Multiply $\frac{1}{128}$ by $\frac{1}{2}$ .

$\frac{1}{128 \cdot 2} \cdot \frac{1}{2} \cdot \frac{1}{2}$

Step 7.2

Multiply $128$ by $2$ .

$\frac{1}{256} \cdot \frac{1}{2} \cdot \frac{1}{2}$

Step 8

Multiply $\frac{1}{256} \cdot \frac{1}{2}$ .

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Step 8.1

Multiply $\frac{1}{256}$ by $\frac{1}{2}$ .

$\frac{1}{256 \cdot 2} \cdot \frac{1}{2}$

Step 8.2

Multiply $256$ by $2$ .

$\frac{1}{512} \cdot \frac{1}{2}$

Step 9

Multiply $\frac{1}{512} \cdot \frac{1}{2}$ .

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Step 9.1

Multiply $\frac{1}{512}$ by $\frac{1}{2}$ .

$\frac{1}{512 \cdot 2}$

Step 9.2

Multiply $512$ by $2$ .

$\frac{1}{1024}$

Step 10

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{1024}$

Decimal Form:

$0.00097656 \dots$