Solve 2000(1+0.024/2

$$2000(1+ \frac{ 0.024 }{ 2 }$$

Evaluate

$$2024$$

Solution Steps

Expand \frac{0.024}{2} by multiplying both numerator and the denominator by 1000.

$$2000\left(1+\frac{24}{2000}\right)$$

Reduce the fraction \frac{24}{2000} to lowest terms by extracting and canceling out 8.

$$2000\left(1+\frac{3}{250}\right)$$

Convert 1 to fraction \frac{250}{250}.

$$2000\left(\frac{250}{250}+\frac{3}{250}\right)$$

Since \frac{250}{250} and \frac{3}{250} have the same denominator, add them by adding their numerators.

$$2000\times \frac{250+3}{250}$$

Add 250 and 3 to get 253.

$$2000\times \frac{253}{250}$$

Express 2000\times \frac{253}{250} as a single fraction.

$$\frac{2000\times 253}{250}$$

Multiply 2000 and 253 to get 506000.

$$\frac{506000}{250}$$

Divide 506000 by 250 to get 2024.

$$2024$$

Factor

$$11\times 23\times 2^{3}$$