Question
Use inductive reasoning to predict the next line in the pattern. \( 9 \times 45=405 \) \( 9 \times 46=414 \) \( 9 \times 47=423 \) \( \begin{array}{l}\text { The next line is } \square \times \square=\square \text {. }\end{array} \)
Ask by Beck Chen. in the United States
Mar 12,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The next line is \( 9 \times 48=432 \).
Solution
\( 9 \times 45=405 \)
\( 9 \times 46=414 \)
\( 9 \times 47=423 \)
Notice that as the multiplier increases by 1, the product increases by 9. Therefore, the next multiplier is 48 and the product will be \( 9 \times 48=432 \).
Thus, the next line is:
\( 9 \times 48=432 \)
Answered by UpStudy AI and reviewed by a Professional Tutor
Like
error msg
Explain 
Simplify this solution The Deep Dive
Looking at the pattern given, we can observe that each multiplication involves increasing the second number by 1 and the product increasing by 9 each time. So, the next line should be \( 9 \times 48=432 \). Thus, the complete line is \( 9 \times 48=432 \).
