Sure, let's walk through each expression step-by-step, substituting the value of the variable 2 into each.
### Expression 1: [tex]\( \frac{8.9}{2} \)[/tex]
To evaluate the expression [tex]\( \frac{8.9}{2} \)[/tex]:
1. We simply divide 8.9 by 2.
2. [tex]\( \frac{8.9}{2} = 4.45 \)[/tex]
### Expression 2: [tex]\( 8.9 + 2 \)[/tex]
To evaluate the expression [tex]\( 8.9 + 2 \)[/tex]:
1. We add 2 to 8.9.
2. [tex]\( 8.9 + 2 = 10.9 \)[/tex]
### Expression 3: [tex]\( 8.9 \times 2 \)[/tex]
To evaluate the expression [tex]\( 8.9 \times 2 \)[/tex]:
1. We multiply 8.9 by 2.
2. [tex]\( 8.9 \times 2 = 17.8 \)[/tex]
### Expression 4: [tex]\( 8.9^2 \)[/tex]
To evaluate the expression [tex]\( 8.9^2 \)[/tex]:
1. We raise 8.9 to the power of 2 (square it).
2. [tex]\( 8.9^2 = 79.21000000000001 \)[/tex]
Therefore, the simplified results for each expression when the value of the variable is substituted with 2 are:
1. [tex]\( \frac{8.9}{2} = 4.45 \)[/tex]
2. [tex]\( 8.9 + 2 = 10.9 \)[/tex]
3. [tex]\( 8.9 \times 2 = 17.8 \)[/tex]
4. [tex]\( 8.9^2 = 79.21000000000001 \)[/tex]
These results are the evaluation of the given expressions with the variable value set to 2.
