Question

Order of operation with Integers

Answer 1

The order of operations is a set of rules that determines the sequence in which to perform operations in a mathematical expression.

Step-by-step explanation:

The order of operations is a set of rules that determine the sequence in which to perform the operations in a mathematical expression. The acronym PEMDAS is commonly used to remember the order: parentheses, exponents, multiplication and division (from left to right), and addition and subtraction (from left to right).

For example:

1. Calculate 2 + 3 * 4:

• Start with multiplication: 3 * 4 = 12
• Then perform the addition: 2 + 12 = 14

Calculate (2 + 3) * 4:

• Start with the parentheses: 2 + 3 = 5
• Then perform the multiplication: 5 * 4 = 20

Using the order of operations ensures that mathematical expressions are evaluated correctly.

Answer 2

-1

Step-by-step explanation:

`(4^(3)/(-12+2^(2) ) )/((2*3)^(2)+(-5*2*3)+2)`

Simplify, remember the order of operations;

Parenthesis

Exponents

Multiplication, division

Addition, subtraction

`(4^(3)/(-12+2^(2) ) )/((2*3)^(2)+(-5*2*3)+2)`

`(64/(-12+4 ) )/((6)^(2)+(-30)+2)`

`(64/(-8 ) )/(36+(-30)+2)`

`(-8 )/(36-28)`

`(-8 )/(8)`

-1