Solve 1/50(3*5*3000+2*35*3000-1*35*1000+1*10*3000-2*10*1000)

$$\frac{ 1 }{ 50 } (3 \times 5 \times 3000+2 \times 35 \times 3000-1 \times 35 \times 1000+1 \times 10 \times 3000-2 \times 10 \times 1000)$$

Evaluate

$$4600$$

Solution Steps

Multiply 3 and 5 to get 15. Multiply 2 and 35 to get 70.

$$\frac{1}{50}\left(15\times 3000+70\times 3000-1\times 35\times 1000+1\times 10\times 3000-2\times 10\times 1000\right)$$

Multiply 15 and 3000 to get 45000.

$$\frac{1}{50}\left(45000+70\times 3000-1\times 35\times 1000+1\times 10\times 3000-2\times 10\times 1000\right)$$

Multiply 70 and 3000 to get 210000.

$$\frac{1}{50}\left(45000+210000-1\times 35\times 1000+1\times 10\times 3000-2\times 10\times 1000\right)$$

Add 45000 and 210000 to get 255000.

$$\frac{1}{50}\left(255000-1\times 35\times 1000+1\times 10\times 3000-2\times 10\times 1000\right)$$

Multiply 1 and 35 to get 35.

$$\frac{1}{50}\left(255000-35\times 1000+1\times 10\times 3000-2\times 10\times 1000\right)$$

Multiply 35 and 1000 to get 35000.

$$\frac{1}{50}\left(255000-35000+1\times 10\times 3000-2\times 10\times 1000\right)$$

Subtract 35000 from 255000 to get 220000.

$$\frac{1}{50}\left(220000+1\times 10\times 3000-2\times 10\times 1000\right)$$

Multiply 1 and 10 to get 10.

$$\frac{1}{50}\left(220000+10\times 3000-2\times 10\times 1000\right)$$

Multiply 10 and 3000 to get 30000.

$$\frac{1}{50}\left(220000+30000-2\times 10\times 1000\right)$$

Add 220000 and 30000 to get 250000.

$$\frac{1}{50}\left(250000-2\times 10\times 1000\right)$$

Multiply 2 and 10 to get 20.

$$\frac{1}{50}\left(250000-20\times 1000\right)$$

Multiply 20 and 1000 to get 20000.

$$\frac{1}{50}\left(250000-20000\right)$$

Subtract 20000 from 250000 to get 230000.

$$\frac{1}{50}\times 230000$$

Multiply \frac{1}{50} and 230000 to get \frac{230000}{50}.

$$\frac{230000}{50}$$

Divide 230000 by 50 to get 4600.

$$4600$$

Factor

$$2^{3}\times 5^{2}\times 23$$