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Evaluate: 16 + 16 ├╖ 4 - 3 ├Ч 3
14
13
11
10
11
Scan operations by priority (Division/Multiplication first): 16├╖4=4 and 3├Ч3=9. Then evaluate left-to-right: 16+4тИТ9=11.
Mathematical expression: 16 + 16 ├╖ 4 - 3 ├Ч 3
Order┬аof┬аOperations:┬аBтЖТOтЖТDтЖТMтЖТAтЖТS
Scan operations by priority (Division/Multiplication first): 16├╖4=4 and 3├Ч3=9. Then evaluate left-to-right: 16+4тИТ9=11.
Performing addition before division/multiplication (e.g., doing 16+16=32 first), which leads to an incorrect result of 3.
Apply BODMAS Rule - Division First
According to the BODMAS rule (Brackets, Orders, Division, Multiplication, Addition, Subtraction), division is prioritized over addition and subtraction. Evaluate 16├╖4.
16├╖4=4
Apply BODMAS Rule - Multiplication Next
Next, evaluate the multiplication operation in the expression, which is 3├Ч3.
3├Ч3=9
Substitute Values into Expression
Replace the division and multiplication parts with their calculated results back into the expression.
16+4тИТ9
Perform Addition and Subtraction Left-to-Right
First, perform addition: 16+4=20. Then subtract 9 from 20.
20тИТ9=11
C is correct because carrying out the operations in BODMAS order (Division тЖТ Multiplication тЖТ Addition тЖТ Subtraction) gives 16+4тИТ9=11.
When dealing with complex algebraic or quantitative expressions, always follow strict operator precedence. Addition and Subtraction share equal priority, as do Multiplication and Division, and should be evaluated from left to right.
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