Question

How do you evaluate `(4+ 3) \times 7\times 2+ 6\times 8`?

Answer 1

The value of the expression is `146`

Explanation:

In order to evaluate the this expression we need to follow the basic order of operations PEMDAS - Please Excuse My Dear Aunt Sally or Parenthesis, Exponents, Multiplication and Division before Addition and Subtraction moving left to right.

`(4+3)*7*2+6*8`

We begin by simplifying the parenthesis

`7*7*2+6*8`

Now multiply the three numbers on the left

`98+6*8`

Now multiply the two numbers on the right

`98+48`

Now add the two numbers

`146`

Answer 2

`146`

Explanation:

Count the number of terms first.

Each TERM will simplify to a single answer which can be added or subtracted in the last line.

You can work in different terms in the same line.

Within each term:

• brackets are first
• then powers and roots
• then multiply and divide

`" "color(red)((4+3)xx7xx2)" "color(blue)( +6xx8)" "larr` there are `2` terms
`color(white)(xxx.x)darrcolor(white)(xxxxxxxxxxxx)darr`
`=color(white)(xxx)color(red)(7xx7xx2)" "color(blue)( +" "48)`

`=color(white)(xxx.xx)color(red)(98" "color(blue)( +" "48)`

`=" "146`