Solving a Mathematical Expression Using PEMDAS
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:
\( 1 \)
