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Solve for x Using PEMDAS Order of Operations: 9 - (2 × 4) = x
Mathematics
Grade 5 (Primary School)
Question Content
Solve for x using the correct order of operations. 9 - (2 × 4) = x, x = [?]
Correct Answer
x = 1
Detailed Solution Steps
1
Step 1: Follow the PEMDAS order of operations, first solve the calculation inside the parentheses. Calculate 2 × 4, which equals 8.
2
Step 2: Substitute the result back into the original equation, so the equation becomes 9 - 8 = x.
3
Step 3: Perform the subtraction operation: 9 - 8 = 1, so x = 1.
Knowledge Points Involved
1
PEMDAS Order of Operations
PEMDAS is an acronym for Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right). It is a rule that defines the sequence to perform mathematical operations to ensure consistent results. Parentheses take highest priority, followed by exponents, then multiplication/division, and finally addition/subtraction. This rule is used for all multi-operation arithmetic problems.
2
Parentheses in Arithmetic
Parentheses in mathematical expressions indicate that the operation inside them must be completed first before any other operations outside. They are used to change the default order of operations when needed, ensuring the intended calculation is done first.
3
Basic Subtraction and Multiplication
Multiplication is a repeated addition operation, used to find the total of equal groups. Subtraction is the operation of finding the difference between two numbers. These are fundamental arithmetic operations that form the basis of more complex calculations, and they follow the priority rules set by PEMDAS.
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