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Simplify the given expression. 5+9−9÷3×4
2
6
3
5
2
Remember that division and multiplication have the same precedence and are performed from left to right, as are addition and subtraction.
The expression to simplify is 5 + 9 - 9 ÷ 3 × 4.
BODMAS=Brackets,Orders,Division,Multiplication,Addition,Subtraction
Remember that division and multiplication have the same precedence and are performed from left to right, as are addition and subtraction.
Students often perform multiplication before division (9 ÷ 3 × 4 becomes 9 ÷ 12 instead of 3 × 4), which leads to an incorrect result of 14.25 instead of 2.
Divide
Applying BODMAS, first solve the division part: 9÷3=3.
5+9−3×4
Multiply
Next, perform the multiplication: 3×4=12.
5+9−12
Add and Subtract
Finally, perform addition and subtraction from left to right: 5+9=14, and 14−12=2.
14−12=2
A is correct because applying the BODMAS rule to the expression 5 + 9 - 9 ÷ 3 × 4 gives the final result 2.
This rule applies to all algebraic simplifications. Always maintain the left-to-right priority for operations of equal rank like (×, ÷) and (+, -).
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