Question - Solving a Mathematical Expression Using PEMDAS
mathmathematical calculation stepspemdas order of operationssolving mathematical expressiondivision and multiplication rules
Solution:
To solve the mathematical expression in the image, you have to follow the order of operations, sometimes remembered by the acronym PEMDAS: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right). The division symbol ":" here is equivalent to "÷".Starting with the given expression:$$ 9 - 3 \div \frac{1}{3} + 1 $$Perform the division first:$$ 3 \div \frac{1}{3} $$ is the same as $$ 3 \times 3 $$ (because dividing by a fraction is the same as multiplying by its reciprocal), which equals $$ 9 $$.The expression now simplifies to:$$ 9 - 9 + 1 $$Now proceed from left to right with subtraction and addition:$$ 9 - 9 = 0 $$Now add 1:$$ 0 + 1 = 1 $$So, the solution to the expression is:$$ 1 $$
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