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NUMERICAL EXPRESSION

NUMERICAL EXPRESSION

Definition Of Numerical Expression

The term 'numerical' means 'involving numbers' and the term 'expression' means 'phrase'.

A numerical expression is a mathematical phrase involving only numbers and one or more operational symbols

More About Numerical Expression

A numerical expression represents a particular number.
For example, the numerical expression 4 + 20 - 7 in the example above simplifies to the number 17.

Examples of Numerical Expression

The following are some examples of numerical expressions.
4 + 20 - 7, (2 + 3) - 7, (6 × 2) ÷ 20, 5 ÷ (20 × 3), 5 × (42 + 3)

Video Examples: How to Simplify Numerical Expressions

Solved Example on Numerical Expression

Ques: Evaluate the numerical expression: 23 + 15 - 8.

Solution:

Step 1: 23 + 15 - 8 [Given.]
Step 2: = 38 - 8
Step 3: = 30
Step 4:So, 23 + 15 - 8 = 30.

Ques: Evaluate: 102 - 10 + 1001

Solution:

Step 1: 102 - 10 + 1001 [Given.]
Step 2: = 10 × 10 - 10 + 100
Step 3: = 100 - 10 + 100
Step 4: = 90 + 100
Step 5: = 190
Step 6: So, 102 - 10 + 1001 = 190.

Quick Summary

  • Numerical expressions consist of numbers and operational symbols.
  • They represent a specific numerical value.
  • They can be simplified using the order of operations.
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🍎 Teacher Insights

Emphasize the importance of the order of operations. Provide plenty of practice problems with varying levels of difficulty. Use real-world examples to illustrate the concept of numerical expressions.

🎓 Prerequisites

  • Basic arithmetic operations (addition, subtraction, multiplication, division)
  • Order of operations (PEMDAS/BODMAS)
  • Understanding of numbers (integers, fractions, decimals)

Check Your Knowledge

Q1: Evaluate the expression: 5 + 3 * 2

Q2: Evaluate the expression: (10 - 4) / 2

Frequently Asked Questions

Q: What is the difference between a numerical expression and an algebraic expression?
A: A numerical expression contains only numbers and operations, while an algebraic expression contains variables as well.

Q: How do you simplify a numerical expression?
A: Follow the order of operations (PEMDAS/BODMAS): Parentheses/Brackets, Exponents/Orders, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

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