1) 6 + (9 ÷ 3 × 4) 2) 3 × [(9 + 15) ÷ 8] 3) 4 × [18 ÷ 2 × (10 - 8)] 4) (15 - 6) + (4 - 1) × 8 5) 2 × [3 + 2 × (10 - 9)] A. 9 B. 35 C. 10 D. 18 E. 72 F. 71

To solve these arithmetic expressions, we need to follow the order of operations, often remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)).
Let's go through each expression one by one:

6 + (9 ÷ 3 × 4)

Start with the operation inside the parentheses.
First, do the division: 9 ÷ 3 = 3 .
Then, multiply the result by 4: 3 × 4 = 12 .
Now, add 6 outside the parentheses: 6 + 12 = 18 .


3 × [(9 + 15) ÷ 8]

Start with the operation inside the bracket.
First, add: 9 + 15 = 24 .
Then, divide by 8: 24 ÷ 8 = 3 .
Now, multiply by 3: 3 × 3 = 9 .


4 × [18 ÷ 2 × (10 - 8)]

Start with the operation inside the parentheses: 10 − 8 = 2 .
Do the division inside the brackets before multiplication: 18 ÷ 2 = 9 .
Multiply the results inside the brackets: 9 × 2 = 18 .
Now, multiply by 4: 4 × 18 = 72 .


(15 - 6) + (4 - 1) × 8

Do the subtraction inside the first parentheses: 15 − 6 = 9 .
Do the subtraction inside the second parentheses: 4 − 1 = 3 .
Multiply the result inside the second parentheses by 8: 3 × 8 = 24 .
Add the results from both parts: 9 + 24 = 33 .


2 × [3 + 2 × (10 - 9)]

Start with the operation inside the parentheses: 10 − 9 = 1 .
Multiply by 2: 2 × 1 = 2 .
Add 3: 3 + 2 = 5 .
Multiply by 2: 2 × 5 = 10 .



From these calculations, the results are:

18
9
72
33
10

Matching the answers with the options given:

Option A: 9 (matches with expression 2)
Option B: 35 (no match)
Option C: 10 (matches with expression 5)
Option D: 18 (matches with expression 1)
Option E: 72 (matches with expression 3)
Option F: 71 (no match)

Therefore, each expression corresponds to a unique multiple-choice answer as follows:

Expression 1 corresponds to option D: 18.
Expression 2 corresponds to option A: 9.
Expression 3 corresponds to option E: 72.
Expression 4 has no direct option here as it results in 33.
Expression 5 corresponds to option C: 10.

Answered by EmmaGraceJohnson | 2025-07-22