Smith Whittaker
03/03/2024 · Junior High School
d) \( 4+6 \cdot(9-10:(8-12: 2)-1) \)
UpStudy ThothAI Solution
Tutor-Verified Answer
Step-by-step Solution
To solve the expression \( 4 + 6 \cdot (9 - 10 : (8 - 12 : 2) - 1) \), we will follow the order of operations (parentheses, exponents, multiplication and division from left to right, addition and subtraction from left to right).
1. **Calculate the innermost parentheses**:
- Start with \( 12 : 2 \):
\[
12 : 2 = 6
\]
- Now substitute this back into the expression:
\[
8 - 6 = 2
\]
2. **Now substitute this back into the expression**:
- The expression now looks like:
\[
4 + 6 \cdot (9 - 10 : 2 - 1)
\]
3. **Next, calculate \( 10 : 2 \)**:
\[
10 : 2 = 5
\]
4. **Substituting this back into the expression**:
- The expression now looks like:
\[
4 + 6 \cdot (9 - 5 - 1)
\]
5. **Now simplify inside the parentheses**:
- Calculate \( 9 - 5 \):
\[
9 - 5 = 4
\]
- Then calculate \( 4 - 1 \):
\[
4 - 1 = 3
\]
6. **Now substitute this back into the expression**:
- The expression now looks like:
\[
4 + 6 \cdot 3
\]
7. **Now perform the multiplication**:
\[
6 \cdot 3 = 18
\]
8. **Finally, add this to 4**:
\[
4 + 18 = 22
\]
Thus, the final result is:
\[
\boxed{22}
\]
Quick Answer
The result is 22.
Answered by UpStudy AI and reviewed by a Professional Tutor
UpStudy ThothAI
Self-Developed and Ever-Improving
Thoth AI product is constantly being upgraded and optimized.
Covers All Major Subjects
Capable of handling homework in math, chemistry, biology, physics, and more.
Instant and Accurate
Provides immediate and precise solutions and guidance.
Try Now
Ask Tutors
Ask AI
10x
Fastest way to Get Answers & Solutions
By text
Enter your question here…
By image
Re-Upload
Submit