Question
Evaluate: \( 123 \times 0.1+123 \times 0.01+123 \times 0.001 \)
Ask by Marsh Bush. in the Philippines
Jan 24,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
The result is 13.653.
Solution
To evaluate the expression:
\[
123 \times 0.1 + 123 \times 0.01 + 123 \times 0.001
\]
We can compute each term individually and then sum them up:
1. **First Term:**
\[
123 \times 0.1 = 12.3
\]
2. **Second Term:**
\[
123 \times 0.01 = 1.23
\]
3. **Third Term:**
\[
123 \times 0.001 = 0.123
\]
**Summing all the terms:**
\[
12.3 + 1.23 + 0.123 = 13.653
\]
**Final Answer:**
\[
13.653
\]
Reviewed and approved by the UpStudy tutoring team
Like
error msg
Explain 
Simplify this solution Bonus Knowledge
To evaluate the expression \( 123 \times 0.1 + 123 \times 0.01 + 123 \times 0.001 \), we can factor out \( 123 \): \[ 123 \times (0.1 + 0.01 + 0.001) \] Now, calculate the sum inside the parentheses: \[ 0.1 + 0.01 + 0.001 = 0.1 + 0.01 = 0.11, \quad 0.11 + 0.001 = 0.111 \] So we have: \[ 123 \times 0.111 \] Next, we can perform the multiplication: \[ 123 \times 0.111 = 13.653 \] Thus, the final answer is: \[ \boxed{13.653} \]
