Assignment: 7/2/2025

1) $(14-2) \times 4 \div 6$
2) $128 \div 2-4$
3) $364 \div 8 \times(5-3)+5$
4) $(17+4) \times 3$
5) $a+2 \times(8-2)-3$

Evaluate expression 1: ( 14 − 2 ) × 4 ÷ 6 = 8 .
Evaluate expression 2: 128 ÷ 2 − 4 = 60 .
Evaluate expression 3: 364 ÷ 8 × ( 5 − 3 ) + 5 = 96 .
Evaluate expression 4: ( 17 + 4 × 3 ) = 29 .
Evaluate expression 5: a + 2 × ( 8 − 2 ) − 3 = a + 9 .
The final answers are 8 , 60 , 96 , 29 , a + 9 ​ .

Explanation

Problem Analysis We are given five expressions to evaluate. We will evaluate each expression step by step, following the order of operations (PEMDAS/BODMAS).

Evaluating Expression 1 Expression 1: ( 14 − 2 ) × 4 ÷ 6 . First, we evaluate the expression inside the parentheses: 14 − 2 = 12 . Then, we multiply by 4: 12 × 4 = 48 . Finally, we divide by 6: 48 ÷ 6 = 8 .

Evaluating Expression 2 Expression 2: 128 ÷ 2 − 4 . First, we divide 128 by 2: 128 ÷ 2 = 64 . Then, we subtract 4: 64 − 4 = 60 .

Evaluating Expression 3 Expression 3: 364 ÷ 8 × ( 5 − 3 ) + 5 . First, we evaluate the expression inside the parentheses: 5 − 3 = 2 . Then, we divide 364 by 8: 364 ÷ 8 = 45.5 . Next, we multiply by 2: 45.5 × 2 = 91 . Finally, we add 5: 91 + 5 = 96 .

Evaluating Expression 4 Expression 4: ( 17 + 4 × 3 ) . First, we multiply 4 by 3: 4 × 3 = 12 . Then, we add 17: 17 + 12 = 29 .

Evaluating Expression 5 Expression 5: a + 2 × ( 8 − 2 ) − 3 . First, we evaluate the expression inside the parentheses: 8 − 2 = 6 . Then, we multiply by 2: 2 × 6 = 12 . Next, we have a + 12 − 3 . Finally, we simplify: a + 9 .

Final Answer The evaluated expressions are:



8
60
96
29
a + 9

Examples
Order of operations is a fundamental concept in mathematics and is used in various real-life scenarios. For example, when calculating the total cost of items with discounts and taxes, we need to follow the order of operations to get the correct result. Similarly, in programming, the order of operations determines how expressions are evaluated, ensuring the program behaves as expected. Understanding and applying the order of operations correctly is crucial for accurate calculations and problem-solving in many fields.

Answered by GinnyAnswer | 2025-07-03

I evaluated five mathematical expressions following the order of operations. The final results are 8, 60, 96, 63, and a + 9 respectively. This illustrates the importance of adhering to the rules of mathematics for accurate calculations.
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Answered by Anonymous | 2025-07-04