Answer :
To find the degree of a monomial, you need to look at the exponent of the variable. The degree is the highest exponent of the variable in the monomial.
Let's go through each exercise step by step:
1. [tex]$4g$[/tex]
- Here, [tex]$g$[/tex] is the variable.
- The exponent of [tex]$g$[/tex] is 1 (even if it’s not explicitly written).
- Therefore, the degree of the monomial [tex]$4g$[/tex] is 1.
2. [tex]$-\frac{4}{9}$[/tex]
- This is a constant term, which means there is no variable involved.
- The degree of any term without a variable is 0.
- Therefore, the degree of the monomial [tex]$-\frac{4}{9}$[/tex] is 0.
3. [tex]$-1.75k^2$[/tex]
- Here, [tex]$k$[/tex] is the variable.
- The exponent of [tex]$k$[/tex] is 2.
- Therefore, the degree of the monomial [tex]$-1.75k^2$[/tex] is 2.
4. [tex]$23x^4$[/tex]
- Here, [tex]$x$[/tex] is the variable.
- The exponent of [tex]$x$[/tex] is 4.
- Therefore, the degree of the monomial [tex]$23x^4$[/tex] is 4.
So, the degrees of the monomials are:
- [tex]$4g$[/tex]: Degree 1
- [tex]$-\frac{4}{9}$[/tex]: Degree 0
- [tex]$-1.75k^2$[/tex]: Degree 2
- [tex]$23x^4$[/tex]: Degree 4
Let's go through each exercise step by step:
1. [tex]$4g$[/tex]
- Here, [tex]$g$[/tex] is the variable.
- The exponent of [tex]$g$[/tex] is 1 (even if it’s not explicitly written).
- Therefore, the degree of the monomial [tex]$4g$[/tex] is 1.
2. [tex]$-\frac{4}{9}$[/tex]
- This is a constant term, which means there is no variable involved.
- The degree of any term without a variable is 0.
- Therefore, the degree of the monomial [tex]$-\frac{4}{9}$[/tex] is 0.
3. [tex]$-1.75k^2$[/tex]
- Here, [tex]$k$[/tex] is the variable.
- The exponent of [tex]$k$[/tex] is 2.
- Therefore, the degree of the monomial [tex]$-1.75k^2$[/tex] is 2.
4. [tex]$23x^4$[/tex]
- Here, [tex]$x$[/tex] is the variable.
- The exponent of [tex]$x$[/tex] is 4.
- Therefore, the degree of the monomial [tex]$23x^4$[/tex] is 4.
So, the degrees of the monomials are:
- [tex]$4g$[/tex]: Degree 1
- [tex]$-\frac{4}{9}$[/tex]: Degree 0
- [tex]$-1.75k^2$[/tex]: Degree 2
- [tex]$23x^4$[/tex]: Degree 4
