Order Of Operations: Simplify Numerical Expressions Worksheet

Algebra 1
Algebra Foundations

Total questions - 6

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How Will This Worksheet on “Order of Operations: Simplify Numerical Expressions” Benefit Your Student's Learning?

  • Practice on PEMDAS will boost the performance of the order of operations to simplify the numerical expression.
  • Enhances precision as well as ability for problem-solving.
  • Solidify the confidence to solve complex numerical expressions.
  • Give a root to connect the Mat to the scenario of the real world.

How to Order of Operations: Simplify Numerical Expressions?

A sequence of order of operations to simplify numerical expressions 

  • `P`->Parenthesis `()`: Perform arithmetic operation inside of the parenthesis. Example: \( (2 + 3) \times 4 = 5 \times 4 = 20 \)
  • `E`->Exponent: Simplify the exponents, Example:  \( 2^3 = 8 \)
  • `M`->Multiplication OR `D`->Division: Perform first between these two which one is in the left. Example: \( 6 \div 2 \times 3 = 3 \times 3 = 9 \)
  • `A`->Addition OR `S`->Subtraction: perform first between these two which one is on the left. Example:\( 7 - 3 + 2 = 4 + 2 = 6 \)

Solved Example

Q. Evaluate the expression.\newline1×351 \times 3 - 5
Solution:
  1. Multiply first: Follow order of operations (PEMDAS). First, do multiplication. 13=31 * 3 = 3
  2. Subtract from result: Now, subtract 55 from the result. 35=23 - 5 = -2
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About Worksheet

Algebra 1
Algebra Foundations

Understanding and using the order of operations (PEMDAS) is essential for simplifying numerical expressions correctly. This rule prioritizes operations in parenthesis, exponents, addition and subtraction (from left to right), multiplication and division (from left to right), and leads computations accordingly. Order of operations simplify numerical expressions worksheets can aid in applying these rules efficiently. 

Example: 

Evaluate: `4×2÷2`.

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