# Question #abbec

Mar 22, 2017

$810060$

#### Explanation:

Dealing with the multiplication bit first.

$30 \left(30 \times 30\right) 30$

This is the same as: $30 \times 30 \times 30 \times 30$

Which is also the same as $3 \times 3 \times 3 \times 3 \times 10 \times 10 \times 10 \times 10$

Which is: $81 \times 10000 = 810000$
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Putting it all back together we have

$30 + 30 + 810000 = 810060$

Mar 24, 2017

$= 810 , 060$

#### Explanation:

This is a classic example of where students will get an incorrect answer because they simply work from left to right, without noticing that there are different operations.

It is VITAL that you identify separate terms FIRST.
(Terms are separated by + and - signs)

Each term will simplify to a single answer and they will be added or subtracted in the last step.

$\textcolor{b l u e}{30} \textcolor{red}{+ 30 \left(30 \times 30\right) 30} \textcolor{f \mathmr{and} e s t g r e e n}{+ 30}$ has 3 terms.

Within each term, the normal order applies. Brackets, then multiply.

$= \textcolor{b l u e}{30} \textcolor{red}{+ 30 \left(900\right) 30} \textcolor{f \mathmr{and} e s t g r e e n}{+ 30}$

$= \textcolor{b l u e}{30} \textcolor{red}{+ 900 \times 900} \textcolor{f \mathmr{and} e s t g r e e n}{+ 30}$

$= \textcolor{b l u e}{30} \textcolor{red}{+ 810 , 000} \textcolor{f \mathmr{and} e s t g r e e n}{+ 30}$

$= 810 , 060$

Notice that the blue and the green terms were already in the simplest form and only the red middle term required simplifying.