Question

Simplify. 

A. 16 ÷ (4 •2) + 9 - 3   

B. (48 - 8) ÷ 5 + 3 

Answer 1

Order of Operations:

To simplify the expression follow the order of operations: (PEMDAS)

1.      Evaluate the expressions inside the Parenthesis/Brackets (P).

2.      Evaluate Powers/Exponents (E).

3.      Multiply and/or Divide in order from left to right (MD).

4.      Add and/or Subtract in order from left to right (AS).

• A.

The expression is 16 ÷ (4 . 2) + 9 - 3.

From PEMDAS rule,

16 ÷ (4 . 2) + 9 - 3

Evaluate the expression inside the Parenthesis

= 16 ÷ 8 + 9 - 3.                                    (Multiply : 4×2 =8)

The next operation is division.

= 2 + 9 - 3                                            (Divide :16 ÷ 8 = 2)

The next operation is addition.

= 11 - 3                                                (Add : 2 + 9 = 11)

The next operation is subtractrion.       (Subtract : 11 - 3 = 8)

= 8.

• B.

The expression is (48 - 8) ÷ 5 + 3.

From PEMDAS rule,

(48 - 8) ÷ 5 + 3

Evaluate the expression inside the Parenthesis

= 40 ÷ 5 + 3.                                    (Subtract : 48 - 8 = 40)

The next operation is division.

= 8 + 3                                            (Divide :40 ÷ 5 = 8)

The next operation is addition.

= 11.                                               (Add : 8 + 3 = 11)