Question
Complete the pattern: \( 99.69 \div 10=\square \) \( 996.9 \div 10=\square \) \( 9,969 \div 10=\square \) \( 99,690 \div 10=\square \) Submit
Ask by Edwards Maxwell. in the United States
Jan 23,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
\[
\begin{align*}
99.69 \div 10 &= 9.969 \\
996.9 \div 10 &= 99.69 \\
9,969 \div 10 &= 996.9 \\
99,690 \div 10 &= 9,969 \\
\end{align*}
\]
Solution
Let's complete each division by moving the decimal point one place to the left when dividing by 10.
1. \( 99.69 \div 10 = 9.969 \)
2. \( 996.9 \div 10 = 99.69 \)
3. \( 9,969 \div 10 = 996.9 \)
4. \( 99,690 \div 10 = 9,969 \)
**Completed Pattern:**
\[
\begin{align*}
99.69 \div 10 &= 9.969 \\
996.9 \div 10 &= 99.69 \\
9,969 \div 10 &= 996.9 \\
99,690 \div 10 &= 9,969 \\
\end{align*}
\]
Reviewed and approved by the UpStudy tutoring team
Like
error msg
Explain 
Simplify this solution Beyond the Answer
The results of each of these divisions can be seen as a series of decreasing decimals. Thus, we have: \( 99.69 \div 10 = 9.969 \) \( 996.9 \div 10 = 99.69 \) \( 9,969 \div 10 = 996.9 \) \( 99,690 \div 10 = 9,969 \) It's fascinating how the placement of the decimal shifts each time, creating a looping pattern. As you observe these results, remember that diving by 10 simply shifts the decimal point one place to the left, a nifty trick of the numbers!
