Let's solve the expression step-by-step.
1. The given expression is [tex]\( 4 + 3 \times 2 - \pi \)[/tex].
2. According to the order of operations (PEMDAS/BODMAS), we perform the multiplication first.
- Calculate [tex]\( 3 \times 2 \)[/tex]:
[tex]\[
3 \times 2 = 6
\][/tex]
3. Replace [tex]\( 3 \times 2 \)[/tex] with 6 in the expression:
[tex]\[
4 + 6 - \pi
\][/tex]
4. Next, perform the addition:
- Add 4 and 6:
[tex]\[
4 + 6 = 10
\][/tex]
5. Now, the expression reduces to:
[tex]\[
10 - \pi
\][/tex]
6. The value of [tex]\( \pi \)[/tex] (pi) is approximately 3.141592653589793.
7. Finally, perform the subtraction:
[tex]\[
10 - 3.141592653589793 = 6.858407346410207
\][/tex]
So, the step-by-step evaluated result of the expression [tex]\( 4 + 3 \times 2 - \pi \)[/tex] is [tex]\( 6.858407346410207 \)[/tex].