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EVALUATE A NUMERICAL EXPRESSION

Evaluate A Numerical Expression

Definition Of Evaluate A Numerical Expression

To evaluate a numerical expression, we simplify it by using the given operations to obtain a single numerical value.

More About Evaluate a Numerical Expression

Order of operation or PEDMAS (Parentheses, Exponentiation, Division/Multiplication, Addition/Subtraction) rule is applied to evaluate a numerical expression.

Video Examples: Evaluating Numerical Expressions
 

Example of Evaluate a Numerical Expression

To evaluate 23 + 25 ÷ (25 - 20), we first perform the operation within parentheses and then apply division and addition.
23 + 25 ÷ (25 - 20) = 23 + 25 ÷ 5
= 23 + 5
= 28

Solved Example on Evaluate a Numerical Expression

Ques: What is the simplest form of the given numerical expression? (- 9)(54)(- 5)

Choices:

A. 28130
B. 28127
C. 28123
D. 28125
Correct Answer: D

Solution:

Step 1: (- 9)(54)(- 5)
Step 2: (- 9)(5 × 5 × 5 × 5)(- 5) [Since bn = b × b × b × .... n times.]
Step 3: 28125

Quick Summary

  • Use the order of operations (PEMDAS/BODMAS): Parentheses/Brackets, Exponents/Orders, Division and Multiplication (from left to right), Addition and Subtraction (from left to right).
  • Simplify expressions step-by-step, showing your work clearly.
  • Double-check your calculations to avoid errors.
\[ N/A (Concept-based, not formula-driven) \]

🍎 Teacher Insights

Emphasize the importance of showing work step-by-step. Provide plenty of practice problems with varying levels of complexity. Use real-world examples to illustrate the concept. Address common mistakes explicitly.

🎓 Prerequisites

  • Basic arithmetic operations (addition, subtraction, multiplication, division)
  • Order of operations (PEMDAS/BODMAS)

Check Your Knowledge

Q1: Evaluate: 10 + 2 * 3

Q2: Evaluate: (5 + 3) * 2 - 4

Q3: Evaluate: 24 / (2 + 6) + 1

Frequently Asked Questions

Q: What does PEMDAS stand for?
A: PEMDAS stands for Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right). It is a mnemonic to help remember the order of operations.

Q: Why is the order of operations important?
A: The order of operations ensures that everyone arrives at the same correct answer when evaluating the same numerical expression. Without it, mathematical expressions would be ambiguous.

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