Question

Fill in the blanks to explain the order in which you would perform the operations when evaluating the following expression. The first one has been done for you. 6​ 2​+ [(59 − 4) ÷ 11] × 2

(1) Evaluate the expression inside the parentheses by subtracting.
(2) Evaluate the expression inside the square brackets by dividing.
(3) Add the result from (1) to the result from (2).
(4) Multiply the result from (3) by 2.
(5) Add the result from (4) to the result from (1).

Answer 1

To correctly evaluate the expression 6​ 2​+ [(59 − 4) ÷ 11] × 2, operations must be performed in a specific order according to the BODMAS/PEMDAS rules: first parentheses, then division, multiplication, and finally addition.

Step-by-step explanation:

Order of Operations

When you are evaluating a mathematical expression, you must perform the operations in the correct order to find the right answer. For the given expression 6​ 2​+ [(59 − 4) ÷ 11] × 2, here is how you would proceed:

Evaluate the expression inside the parentheses by subtracting 4 from 59.

Divide the result from step 1 by 11 inside the square brackets.

Multiply the result from step 2 by 2.

Add the result from step 3 to 6.

The final order in which the operations are carried out should be in line with the BODMAS/PEMDAS rule: brackets, orders (exponents), division and multiplication (from left to right), and addition and subtraction (from left to right).