## Intermediate Algebra for College Students (7th Edition)

$2000.002 = (2 \times 10^{3}) + (2 \times 10^{-3})$ Evaluate $(2 \times 10^{3})$. Since the exponent of $10$ is positive, then the decimal point in $2$ will move $3$ places to the right. Thus, $$(2 \times 10^{3})=2000$$ Evaluate $(2 \times 10^{-3})$ Since the exponent of $10$ is negative, then the decimal point in $2$ will move $3$ places to the left. Thus, $$(2 \times 10^{-3}) = 0.002$$ Add the simplified terms. $$2000 +0.002 = 2000.002$$ Therefore, the statement makes sense.