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What is the result of the following operation: 45тИТ12├╖3├Ч2+5?
42
48
38
40
42
Remember that in BODMAS, Division and Multiplication have equal precedence and must be solved left-to-right, just like Addition and Subtraction.
An arithmetic expression involving subtraction, division, multiplication, and addition: 45 - 12 / 3 * 2 + 5.
BODMAS:BracketsтЖТOrdersтЖТDivisionтЖТMultiplicationтЖТAdditionтЖТSubtraction
Remember that in BODMAS, Division and Multiplication have equal precedence and must be solved left-to-right, just like Addition and Subtraction.
Most students mistakenly perform Multiplication before Division, or perform Addition before the required Division/Multiplication operations.
Division
According to the BODMAS rule, perform the division first: 12├╖3=4. The expression becomes 45тИТ4├Ч2+5.
45тИТ(12├╖3)├Ч2+5=45тИТ4├Ч2+5
Multiplication
Next, perform the multiplication: 4├Ч2=8. The expression becomes 45тИТ8+5.
45тИТ(4├Ч2)+5=45тИТ8+5
Addition and Subtraction
Finally, perform addition and subtraction from left to right: 45тИТ8=37, and then 37+5=42.
45тИТ8+5=37+5=42
A is correct because following the BODMAS sequence results in the final value of 42.
This rule is fundamental to all algebraic simplifications; always treat variables as numbers and apply BODMAS before shifting terms across an equality sign.
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