# Simplify the following expression: #101-{[(110 -: 2)-: 11]xx(10+4xx2) +7}+ [8xx(20 -: 5-1)-3xx3] -: 5#?

##### 2 Answers

#### Answer:

Take your time and methodically go through each bracket and you'll eventually get to

#### Explanation:

Wow... that's one big equation. Let's take this step by step.

First we'll start with the original:

Before we dive into this thing, let's look at the structure - there is

There are brackets (and brackets within brackets) in this, so I'm going to work those first. There are 2 sets here and I'll work them side by side. In this first step, let's do the division and in the second set we have both addition and multiplication - so we'll do the multiplication first:

I can now do the next division in the first bracket and do the addition in the second:

We'll finish this up with the multiplication first, then the addition:

Let's now work that second bracket:

There's a bracket in here that we need to work first. Within that bracket there is both division and subtraction - we'll divide first:

and now the subtraction:

We now have 2 multiplications and a subtraction, so we'll do the multiplications first:

Let's substitute that into the original:

Almost there! We have subtraction, addition, and division. We'll do the division first:

and now the subtraction and addition:

#### Answer:

=

=

#### Explanation:

Count the number of terms and work through each one carefully.

Each term must give a number answer.

There are only 3 terms in this expression:

Let's handle one at a time.

The first is easy. it is

Now for the third term:

the whole expression simplifies to

=

=