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Simplifying this expression emphasizes the order of operations, which states that multiplication precedes addition and subtraction, and that division precedes all of them,
In the given expression, the establishment of division operations between the parentheses (the outermost) to a number, therefore according to the order of operations as mentioned, is handled by simplifying the expression in these parentheses, this expression includes division operations that begin on the expression within the parentheses (the innermost), therefore according to the order of operations as mentioned is handled by simplifying the expression in these parentheses and performing the subtraction operations in it, there is no hindrance to calculate the outcome of the division operations in the expression in the outermost parentheses, but for the sake of good order this is done afterwards:
Continuing and simplifying the expression in the parentheses we noted, since division precedes addition and subtraction, start with the division operations in the expression and only then calculate the outcome of the addition and subtraction, ultimately perform the division operations on this expression in the parentheses:
In the last stage we mentioned that multiplying a number by 0 gives the result 0,
Therefore, this simplifying expression is short so there is no need to elaborate,
And the correct answer here is answer A.
\( 20\div(4+1)-3= \)
Parentheses always come first in PEMDAS! You must solve everything inside each set of brackets completely before moving to operations outside them.
Both symbols mean division - they're just different notations! The : symbol is commonly used in some countries instead of ÷, but they work exactly the same way.
Work from the innermost brackets outward. First solve (4+3), then solve everything inside the square brackets [ ], finally divide by 5.
You're right that division doesn't always give whole numbers! But in this case, we get because zero divided by any non-zero number equals zero.
No! Working left-to-right without following PEMDAS gives wrong answers. You'd get different results that don't follow mathematical rules. Always use the correct order of operations.
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