## Elementary Algebra

We evaluate the expression by substituting $a=0.4$ and $b=0.6$ throughout the expression and simplifying: $ab+b^{2}$ =$(0.4)(0.6)+(0.6)^{2}$ =$(\frac{4}{10})(\frac{6}{10})+(\frac{6}{10})^{2}$ =$(\frac{4\times6}{10\times10})+(\frac{6^{2}}{10^{2}})$ =$(\frac{24}{100})+(\frac{36}{100})$ =$(\frac{24+36}{100})$ =$(\frac{60}{100})$ =$0.6$