NUMERICAL COEFFICIENT
Definition Of Numerical Coefficient
The constant multiplicative factors attached to the variables in an expression are known as Numerical Coefficient.
More About Numerical Coefficient
The Numerical Coefficient is always written in front of the variable as shown in the expression given below:
a1x1 + a2x2 + ................anxn where a1,a2...................,an are numerical coefficients.
Numerical Coefficient is more frequently referred as Coefficient.
Example of Numerical Coefficient
The numerical coefficient for the term 10x4 is 10.
The numerical coefficients for the expression 3x2 + x + 1 are 3, 1, and 1.
Video Examples: Numerical Coefficients
Solved Example on Numerical Coefficient
Ques: Find the numerical co-efficient in the product of (24a2b2c2), ( 
ab2c), and (82a2b2c)
Choices:
A. - 656
B. 656ab2c
C. - 5904
D. 656
Correct Answer: A
Solution:
Step 1: Given terms are (24a2b2c2), ( ab2c), and (82a2b2c)
Step 2: Product of the given terms is: (24a2b2c2)x ab2c x 82a2b2c =
(24 x x 82) (a2b2c2 × ab2c × a2b2c) [Use Associative and Commutative properties.]
Step 3: = (8 × -1 × 82) (a2+1+2b2+2+2c2+1+1) [Simplifying.]
Step 4: = (- 656) (a5b6c4) [Simplifying.]
Step 5 :Hence, the numerical coefficient in the product is - 656.
Quick Summary
- The numerical coefficient is the number multiplied by a variable in a term.
- It is always written in front of the variable.
- It is frequently referred to as simply the 'coefficient'.
🍎 Teacher Insights
Emphasize the importance of including the sign of the coefficient. Use examples with various types of numbers (integers, fractions, decimals) as coefficients.🎓 Prerequisites
- Variables
- Constants
- Expressions
- Basic Arithmetic Operations
Check Your Knowledge
Q1: What is the numerical coefficient in the term 7x^2?
Q2: What is the numerical coefficient of 'a' in the expression -a + 5b - 3?
Frequently Asked Questions
Q: What is the numerical coefficient of x in the expression x + 5?
A: The numerical coefficient of x is 1, since x is the same as 1x.
Q: What is the numerical coefficient of -y in the expression 3x - y + 2?
A: The numerical coefficient of -y is -1, since -y is the same as -1y.