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

Answer:

Total length of three boards is 10.

Step-by-step explanation:

Given expression is,

$\Rightarrow 3\frac{1}{2}+2+4\frac{1}{2}$

First solving the mixed fraction into fractions.

$\Rightarrow \frac{7}{2}+2+\frac{9}{2}$

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

we can rewrite the given expression as,

$\frac{7}{2}+(2+\frac{9}{2})=\frac{7}{2}+(\frac{9}{2}+2)$

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

$\frac{7}{2}+(\frac{9}{2}+2)=(\frac{7}{2}+\frac{9}{2})+2$

this reduces to , $\frac{7+9}{2}+2=8+2=10$

Thus, total length of three boards is 10.

Answer 2

5 1/2 + 4 1/2 =10
because 5+4 = 9 and 1/2 +1/2 = 1