Question

Evaluate.
72 - 9 ÷ 3 · 2 + 2 =


A) 21
B) 23
C) 44
D) 68
E) 74

Answer 1

Answer: Option (D)

Use order of operation to evaluate multiplication and division first from left to right

9 ÷ 3 · 2 = 6

Insert the result in the whole expression

72 - 6 + 2

Evaluate addition and subtraction from left to right to obtain final value of expression

72 - 6 + 2 = 68

Step-by-step explanation: We first rewrite 0.0000022

using 10-5 as follows 0.0000022 = 0.22 ×10-5

We now add 3.0 x 10-5 and  0.22×10-5  

as follows 3.0 x 10-5 +  0.22 ×10-5 = 10-5 (3.0 + 0.22) = 3.22 x 10-5

Answer 2

Answer:

D)  68

Step-by-step explanation:

PEMDAS

The PEMDAS rule is an acronym representing the order of operations in math:

• Parentheses
• Exponents
• Multiplication and Division (from left to right)
• Addition and Subtraction (from left to right)

Given expression:

72 - 9 ÷ 3 · 2 + 2

Following the order of operations, carry out the multiplication and division first, working from left to right.

Divide 9 by 3:

⇒ 72 - 9 ÷ 3 · 2 + 2

⇒ 72 - 3 · 2 + 2

Multiply 3 by 2:

⇒ 72 - 3 · 2 + 2

⇒ 72 - 6 + 2

Now carry out the addition and subtraction, working from left to right.

Subtract 6 from 72:

⇒ 72 - 6 + 2

⇒ 66 + 2

Add 66 and 2:

⇒ 66 + 2

⇒ 68

Solution

72 - 9 ÷ 3 · 2 + 2 = 68