Question

Evaluate the expression below using the properties of operations. -36 ÷ 1/4 • (-1/8) • (-3) ÷ 6

Answer 1

-9

Explanation:

We are working with multiplications and divisions, which have no precedence over each other. So we can do the operations in order. It is important to remind that in these operations, if two numbers have different signals, the result of the operation is negative, otherwise, positive.

-36 ÷ 1/4

Different signals, so the result will be negative

`(-36)/((1)/(4))=-36\ast(4)/(1)=-36\ast4=-144`

-36 ÷ 1/4 • (-1/8) = -144 * (-1/8)

Same signal, so positive

`-144\ast(-(1)/(8))=(144)/(8)=18`

-36 ÷ 1/4 • (-1/8) • (-3) = 18 * (-3) = -54

-36 ÷ 1/4 • (-1/8) • (-3) ÷ 6​ = -54 ÷ 6​ = -9