Given the equation:
[tex]0.75\ast6.5[/tex]
Let's find two expressions that show ways to solve the equation.
Expression 1:
[tex]\begin{gathered} 0.75=0.7+0.05 \\ 6.5=6+0.5 \\ \\ \text{Thus, we have:} \\ (0.7+0.05)(6+0.5) \\ Apply\text{ distributive property} \\ 0.7\ast6+0.7\ast0.5+0.05\ast6+0.05\ast0.5 \end{gathered}[/tex][tex]0.7\ast6+0.7\ast0.5+0.05\ast6+0.05\ast0.5[/tex]
Expression 2:
[tex]\begin{gathered} 0.75\ast6.5 \\ \\ \text{Write both numbers as fractions:} \\ \frac{75}{100}\ast\frac{65}{10} \\ \\ =\frac{75\ast65}{100\ast10} \\ \\ =\frac{75\ast65}{1000} \\ \\ 75\ast65\div1000 \end{gathered}[/tex]
ANSWER:
• 75 x 65 ÷ 1000
,
• 0.7 x 6 + 0.7 x 0.5 + 0.05 x 6 + 0.05 x 5
