DEGREE OF A MONOMIAL

Find the degree of each monomial :  

Problem 1 :

-2x²y⁴

Problem 2 :

5

Problem 3 :

9y

Problem 4 :

1.5m²k

Problem 5 :

5x

Problem 6 :

3x²

Problem 7 :

10⁶

Problem 8 :

-7x²y

Problem 9 :

0.4m⁵

Problem 10 :

xyz

Detailed Answer Key

Find the degree of each monomial :  

Problem 1 :

-2x²y⁴

Solution : 

Add the exponents of the variables. 

2 + 4  =  6

The degree is 6. 

Problem 2 :

5

Solution : 

There is no variable, but you can write 5 as 5x⁰.

The degree is 0. 

Problem 3 :

9y

Solution : 

A variable written without an exponent has exponent 1. 

9y¹

The degree is 1. 

Problem 4 :

1.5m²k

Solution : 

Add the exponents of the variables. 

2 + 1  =  3

The degree is 3. 

Problem 5 :

5x

Solution : 

A variable written without an exponent has exponent 1. 

5x¹

The degree is 1. 

Problem 6 :

3x²

Solution : 

There is only one variable (x) with exponent 2.

The degree is 2. 

Problem 7 :

10⁶

Solution : 

10⁶  =  100,0000

There is no variable, but you can write 100,0000 as 

100,0000x⁰

The degree is 0. 

Problem 8 :

-7x²y

Solution : 

Add the exponents of the variables. 

2 + 1  =  3

The degree is 3. 

Problem 9 :

0.4m⁵

Solution : 

There is only one variable (m) with exponent 5.

The degree is 5. 

Problem 10 :

xyz

Solution : 

Add the exponents of the variables. 

1 + 1 + 1  =  3

The degree is 3. 

Kindly mail your feedback to v4formath@gmail.com

We always appreciate your feedback.