Question

Lance wants to find the total length of three boards. he uses the expression 3 1/2+2+4 1/2 how can Lance rewrite the expression using both the associative and community properties of addition

Answer 1

Total length of three boards is 10.

Explanation:

Given expression is,

`\Rightarrow 3(1)/(2)+2+4(1)/(2)`

First solving the mixed fraction into fractions.

`\Rightarrow (7)/(2)+2+(9)/(2)`

Using commutative property, [a+b = b+a]

we can rewrite the given expression as,

`(7)/(2)+(2+(9)/(2))=(7)/(2)+((9)/(2)+2)`

Using associative property [a+(b+c) = (a+b)+c]

`(7)/(2)+((9)/(2)+2)=((7)/(2)+(9)/(2))+2`

this reduces to ,
`(7+9)/(2)+2=8+2=10`

Thus, total length of three boards is 10.