What is the simplified form of the expression 4 + 1/2 ⋅ |3−7| divided by 3?

4 + 1/2 ⋅ |3−7| divided by 3 = 2

Step-by-step explanation:

Here, the given expression is 4 + 1/2 ⋅ |3−7| divided by 3

By the Rule of BODMAS  = B (Bracket) O(of)  D(Divide) M (Multiplication)

                                              A (addition) S(subtraction)

We get:

4 + 1/2 ⋅ |3−7|  = 4 + 1/2  *I-4I

Also, by the definition of MODULUS:

IxI  =  x is x > 0

      =  -x if x < 0

⇒ I-4I  = -(-4)  = 4

So,  4 + 1/2  *I-4I  = 4+ 1/2* (4)  = =  4 +2 = 6

Now 6 divided by 3 = 2

Hence, 4 + 1/2 ⋅ |3−7| divided by 3 = 2