Solve 20*20*20-10*10*3.14*1/4*20

$$20 \times 20 \times 20 - 10 \times 10 \times 3.14 \times \frac { 1 } { 4 } \times 20$$

Evaluate

$$6430$$

Solution Steps

Multiply 20 and 20 to get 400.

$$400\times 20-10\times 10\times 3.14\times \frac{1}{4}\times 20$$

Multiply 400 and 20 to get 8000.

$$8000-10\times 10\times 3.14\times \frac{1}{4}\times 20$$

Multiply 10 and 10 to get 100.

$$8000-100\times 3.14\times \frac{1}{4}\times 20$$

Multiply 100 and 3.14 to get 314.

$$8000-314\times \frac{1}{4}\times 20$$

Multiply 314 and \frac{1}{4} to get \frac{314}{4}.

$$8000-\frac{314}{4}\times 20$$

Reduce the fraction \frac{314}{4} to lowest terms by extracting and canceling out 2.

$$8000-\frac{157}{2}\times 20$$

Express \frac{157}{2}\times 20 as a single fraction.

$$8000-\frac{157\times 20}{2}$$

Multiply 157 and 20 to get 3140.

$$8000-\frac{3140}{2}$$

Divide 3140 by 2 to get 1570.

$$8000-1570$$

Subtract 1570 from 8000 to get 6430.

$$6430$$

Factor

$$2\times 5\times 643$$