Question

I need to find 2 answers that show how to solve 0.75 x 6.5

Answer 1

Given the equation:

`0.75\ast6.5`

Let's find two expressions that show ways to solve the equation.

Expression 1:

`\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}`
`0.7\ast6+0.7\ast0.5+0.05\ast6+0.05\ast0.5`

Expression 2:

`\begin{gathered} 0.75\ast6.5 \\ \\ \text{Write both numbers as fractions:} \\ (75)/(100)\ast(65)/(10) \\ \\ =(75\ast65)/(100\ast10) \\ \\ =(75\ast65)/(1000) \\ \\ 75\ast65/1000 \end{gathered}`

ANSWER:

• 75 x 65 ÷ 1000

,

• 0.7 x 6 + 0.7 x 0.5 + 0.05 x 6 + 0.05 x 5