Question

When solving -1/8 (x + 35) = −7, what is the correct sequence of operations?

Answer 1

ANSWER:

Division, multiplication, addition is the correct sequence of operations for solving $-\frac{1}{8}(x+35)=-7$

SOLUTION:

Given, equation is  $-\frac{1}{8}(x+35)=-7$

We need to solve the given equation in correct sequential order.

So, let us follow the BODMAS rule.

BODMAS means sequence of operations are brackets, orders, division, multiplication, addition, subtraction

Now,

$-\frac{1}{8}(x+35)=-7$

As the term in brackets cannot be processed further we can go for next term.

Now the division operation has to be done first according to BODMAS

- 0.125(x+35)= -7

Multiplication comes second in order.

-0.125x+4.375= -7

On rearranging the terms, we get

-0.125x+4.375+7=0

Now perform addition according to BODMAS

-0.125x+11.375=0

0.125x=11.375

$x=\frac{11.375}{0.125}=91$

Hence division, multiplication, addition is the correct sequence of operations for solving $-\frac{1}{8}(x+35)=-7$