Finite Math Examples

$\frac{9}{10} \cdot \frac{9}{10} \cdot \frac{9}{10} \cdot \frac{9}{10} \cdot \frac{9}{10} \cdot \frac{9}{10} \cdot \frac{9}{10} \cdot \frac{9}{10} \cdot \frac{9}{10} \cdot \frac{9}{10} \cdot \frac{9}{10} \cdot \frac{9}{10}$

Step 1

Multiply $\frac{9}{10} \cdot \frac{9}{10}$ .

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Step 1.1

Multiply $\frac{9}{10}$ by $\frac{9}{10}$ .

$\frac{9 \cdot 9}{10 \cdot 10} \cdot \frac{9}{10} \cdot \frac{9}{10} \cdot \frac{9}{10} \cdot \frac{9}{10} \cdot \frac{9}{10} \cdot \frac{9}{10} \cdot \frac{9}{10} \cdot \frac{9}{10} \cdot \frac{9}{10} \cdot \frac{9}{10}$

Step 1.2

Multiply $9$ by $9$ .

$\frac{81}{10 \cdot 10} \cdot \frac{9}{10} \cdot \frac{9}{10} \cdot \frac{9}{10} \cdot \frac{9}{10} \cdot \frac{9}{10} \cdot \frac{9}{10} \cdot \frac{9}{10} \cdot \frac{9}{10} \cdot \frac{9}{10} \cdot \frac{9}{10}$

Step 1.3

Multiply $10$ by $10$ .

$\frac{81}{100} \cdot \frac{9}{10} \cdot \frac{9}{10} \cdot \frac{9}{10} \cdot \frac{9}{10} \cdot \frac{9}{10} \cdot \frac{9}{10} \cdot \frac{9}{10} \cdot \frac{9}{10} \cdot \frac{9}{10} \cdot \frac{9}{10}$

Step 2

Multiply $\frac{81}{100} \cdot \frac{9}{10}$ .

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Step 2.1

Multiply $\frac{81}{100}$ by $\frac{9}{10}$ .

$\frac{81 \cdot 9}{100 \cdot 10} \cdot \frac{9}{10} \cdot \frac{9}{10} \cdot \frac{9}{10} \cdot \frac{9}{10} \cdot \frac{9}{10} \cdot \frac{9}{10} \cdot \frac{9}{10} \cdot \frac{9}{10} \cdot \frac{9}{10}$

Step 2.2

Multiply $81$ by $9$ .

$\frac{729}{100 \cdot 10} \cdot \frac{9}{10} \cdot \frac{9}{10} \cdot \frac{9}{10} \cdot \frac{9}{10} \cdot \frac{9}{10} \cdot \frac{9}{10} \cdot \frac{9}{10} \cdot \frac{9}{10} \cdot \frac{9}{10}$

Step 2.3

Multiply $100$ by $10$ .

$\frac{729}{1000} \cdot \frac{9}{10} \cdot \frac{9}{10} \cdot \frac{9}{10} \cdot \frac{9}{10} \cdot \frac{9}{10} \cdot \frac{9}{10} \cdot \frac{9}{10} \cdot \frac{9}{10} \cdot \frac{9}{10}$

Step 3

Multiply $\frac{729}{1000} \cdot \frac{9}{10}$ .

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Step 3.1

Multiply $\frac{729}{1000}$ by $\frac{9}{10}$ .

$\frac{729 \cdot 9}{1000 \cdot 10} \cdot \frac{9}{10} \cdot \frac{9}{10} \cdot \frac{9}{10} \cdot \frac{9}{10} \cdot \frac{9}{10} \cdot \frac{9}{10} \cdot \frac{9}{10} \cdot \frac{9}{10}$

Step 3.2

Multiply $729$ by $9$ .

$\frac{6561}{1000 \cdot 10} \cdot \frac{9}{10} \cdot \frac{9}{10} \cdot \frac{9}{10} \cdot \frac{9}{10} \cdot \frac{9}{10} \cdot \frac{9}{10} \cdot \frac{9}{10} \cdot \frac{9}{10}$

Step 3.3

Multiply $1000$ by $10$ .

$\frac{6561}{10000} \cdot \frac{9}{10} \cdot \frac{9}{10} \cdot \frac{9}{10} \cdot \frac{9}{10} \cdot \frac{9}{10} \cdot \frac{9}{10} \cdot \frac{9}{10} \cdot \frac{9}{10}$

Step 4

Multiply $\frac{6561}{10000} \cdot \frac{9}{10}$ .

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Step 4.1

Multiply $\frac{6561}{10000}$ by $\frac{9}{10}$ .

$\frac{6561 \cdot 9}{10000 \cdot 10} \cdot \frac{9}{10} \cdot \frac{9}{10} \cdot \frac{9}{10} \cdot \frac{9}{10} \cdot \frac{9}{10} \cdot \frac{9}{10} \cdot \frac{9}{10}$

Step 4.2

Multiply $6561$ by $9$ .

$\frac{59049}{10000 \cdot 10} \cdot \frac{9}{10} \cdot \frac{9}{10} \cdot \frac{9}{10} \cdot \frac{9}{10} \cdot \frac{9}{10} \cdot \frac{9}{10} \cdot \frac{9}{10}$

Step 4.3

Multiply $10000$ by $10$ .

$\frac{59049}{100000} \cdot \frac{9}{10} \cdot \frac{9}{10} \cdot \frac{9}{10} \cdot \frac{9}{10} \cdot \frac{9}{10} \cdot \frac{9}{10} \cdot \frac{9}{10}$

Step 5

Multiply $\frac{59049}{100000} \cdot \frac{9}{10}$ .

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Step 5.1

Multiply $\frac{59049}{100000}$ by $\frac{9}{10}$ .

$\frac{59049 \cdot 9}{100000 \cdot 10} \cdot \frac{9}{10} \cdot \frac{9}{10} \cdot \frac{9}{10} \cdot \frac{9}{10} \cdot \frac{9}{10} \cdot \frac{9}{10}$

Step 5.2

Multiply $59049$ by $9$ .

$\frac{531441}{100000 \cdot 10} \cdot \frac{9}{10} \cdot \frac{9}{10} \cdot \frac{9}{10} \cdot \frac{9}{10} \cdot \frac{9}{10} \cdot \frac{9}{10}$

Step 5.3

Multiply $100000$ by $10$ .

$\frac{531441}{1000000} \cdot \frac{9}{10} \cdot \frac{9}{10} \cdot \frac{9}{10} \cdot \frac{9}{10} \cdot \frac{9}{10} \cdot \frac{9}{10}$

Step 6

Multiply $\frac{531441}{1000000} \cdot \frac{9}{10}$ .

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Step 6.1

Multiply $\frac{531441}{1000000}$ by $\frac{9}{10}$ .

$\frac{531441 \cdot 9}{1000000 \cdot 10} \cdot \frac{9}{10} \cdot \frac{9}{10} \cdot \frac{9}{10} \cdot \frac{9}{10} \cdot \frac{9}{10}$

Step 6.2

Multiply $531441$ by $9$ .

$\frac{4782969}{1000000 \cdot 10} \cdot \frac{9}{10} \cdot \frac{9}{10} \cdot \frac{9}{10} \cdot \frac{9}{10} \cdot \frac{9}{10}$

Step 6.3

Multiply $1000000$ by $10$ .

$\frac{4782969}{10000000} \cdot \frac{9}{10} \cdot \frac{9}{10} \cdot \frac{9}{10} \cdot \frac{9}{10} \cdot \frac{9}{10}$

Step 7

Multiply $\frac{4782969}{10000000} \cdot \frac{9}{10}$ .

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Step 7.1

Multiply $\frac{4782969}{10000000}$ by $\frac{9}{10}$ .

$\frac{4782969 \cdot 9}{10000000 \cdot 10} \cdot \frac{9}{10} \cdot \frac{9}{10} \cdot \frac{9}{10} \cdot \frac{9}{10}$

Step 7.2

Multiply $4782969$ by $9$ .

$\frac{43046721}{10000000 \cdot 10} \cdot \frac{9}{10} \cdot \frac{9}{10} \cdot \frac{9}{10} \cdot \frac{9}{10}$

Step 7.3

Multiply $10000000$ by $10$ .

$\frac{43046721}{100000000} \cdot \frac{9}{10} \cdot \frac{9}{10} \cdot \frac{9}{10} \cdot \frac{9}{10}$

Step 8

Multiply $\frac{43046721}{100000000} \cdot \frac{9}{10}$ .

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Step 8.1

Multiply $\frac{43046721}{100000000}$ by $\frac{9}{10}$ .

$\frac{43046721 \cdot 9}{100000000 \cdot 10} \cdot \frac{9}{10} \cdot \frac{9}{10} \cdot \frac{9}{10}$

Step 8.2

Multiply $43046721$ by $9$ .

$\frac{387420489}{100000000 \cdot 10} \cdot \frac{9}{10} \cdot \frac{9}{10} \cdot \frac{9}{10}$

Step 8.3

Multiply $100000000$ by $10$ .

$\frac{387420489}{1000000000} \cdot \frac{9}{10} \cdot \frac{9}{10} \cdot \frac{9}{10}$

Step 9

Multiply $\frac{387420489}{1000000000} \cdot \frac{9}{10}$ .

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Step 9.1

Multiply $\frac{387420489}{1000000000}$ by $\frac{9}{10}$ .

$\frac{387420489 \cdot 9}{1000000000 \cdot 10} \cdot \frac{9}{10} \cdot \frac{9}{10}$

Step 9.2

Multiply $387420489$ by $9$ .

$\frac{3486784401}{1000000000 \cdot 10} \cdot \frac{9}{10} \cdot \frac{9}{10}$

Step 9.3

Multiply $1000000000$ by $10$ .

$\frac{3486784401}{10000000000} \cdot \frac{9}{10} \cdot \frac{9}{10}$

Step 10

Multiply $\frac{3486784401}{10000000000} \cdot \frac{9}{10}$ .

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Step 10.1

Multiply $\frac{3486784401}{10000000000}$ by $\frac{9}{10}$ .

$\frac{3486784401 \cdot 9}{10000000000 \cdot 10} \cdot \frac{9}{10}$

Step 10.2

Multiply $3486784401$ by $9$ .

$\frac{31381059609}{10000000000 \cdot 10} \cdot \frac{9}{10}$

Step 10.3

Multiply $10000000000$ by $10$ .

$\frac{31381059609}{100000000000} \cdot \frac{9}{10}$

Step 11

Multiply $\frac{31381059609}{100000000000} \cdot \frac{9}{10}$ .

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Step 11.1

Multiply $\frac{31381059609}{100000000000}$ by $\frac{9}{10}$ .

$\frac{31381059609 \cdot 9}{100000000000 \cdot 10}$

Step 11.2

Multiply $31381059609$ by $9$ .

$\frac{282429536481}{100000000000 \cdot 10}$

Step 11.3

Multiply $100000000000$ by $10$ .

$\frac{282429536481}{1000000000000}$

Step 12

The result can be shown in multiple forms.

Exact Form:

$\frac{282429536481}{1000000000000}$

Decimal Form:

$0.28242953 \dots$