Sure! Let's solve the expression [tex]\(10 - a + \frac{b}{2}\)[/tex] step by step, given that [tex]\(a = 3\)[/tex] and [tex]\(b = 14\)[/tex].
1. Substitute the given values of [tex]\(a\)[/tex] and [tex]\(b\)[/tex] into the expression:
[tex]\[
10 - 3 + \frac{14}{2}
\][/tex]
2. Perform the division:
[tex]\[
\frac{14}{2} = 7
\][/tex]
3. Substitute the result of the division back into the expression:
[tex]\[
10 - 3 + 7
\][/tex]
4. Perform the subtraction and addition from left to right:
[tex]\[
10 - 3 = 7
\][/tex]
[tex]\[
7 + 7 = 14
\][/tex]
So, the value of the expression [tex]\(10 - a + \frac{b}{2}\)[/tex] when [tex]\(a = 3\)[/tex] and [tex]\(b = 14\)[/tex] is [tex]\(14.0\)[/tex].
