Solve 2000*2000-1999*2001-7*7*(-10^3)

$$2000 \cdot 2000-1999 \cdot 2001-7 \cdot 7 \times (- { 10 }^{ 3 } )$$

Evaluate

$$49001$$

Solution Steps

Multiply 2000 and 2000 to get 4000000.

$$4000000-1999\times 2001-7\times 7\left(-10^{3}\right)$$

Multiply 1999 and 2001 to get 3999999.

$$4000000-3999999-7\times 7\left(-10^{3}\right)$$

Subtract 3999999 from 4000000 to get 1.

$$1-7\times 7\left(-10^{3}\right)$$

Multiply 7 and 7 to get 49.

$$1-49\left(-10^{3}\right)$$

Calculate 10 to the power of 3 and get 1000.

$$1-49\left(-1000\right)$$

Multiply 49 and -1000 to get -49000.

$$1-\left(-49000\right)$$

The opposite of -49000 is 49000.

$$1+49000$$

Add 1 and 49000 to get 49001.

$$49001$$

Factor

$$19\times 2579$$