The image you uploaded is a worksheet containing multiple multiplication problems. Each problem involves multiplying two numbers together. Below, I will solve one example from each row to demonstrate the process. If you need solutions for all problems, let me know!
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Step-by-Step Solution for Selected Problems
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Row 1:
1.
Problem: \( 364 \times 85 \)
-
Solution:
\[
\begin{array}{r}
364 \\
\times 85 \\
\hline
1820 \quad \text{(364 × 5)} \\
+ 29120 \quad \text{(364 × 80, shifted left by one place)} \\
\hline
30940 \\
\end{array}
\]
-
Answer: \( 30940 \)
####
Row 2:
2.
Problem: \( 539 \times 41 \)
-
Solution:
\[
\begin{array}{r}
539 \\
\times 41 \\
\hline
539 \quad \text{(539 × 1)} \\
+ 21560 \quad \text{(539 × 40, shifted left by one place)} \\
\hline
21999 \\
\end{array}
\]
-
Answer: \( 21999 \)
####
Row 3:
3.
Problem: \( 214 \times 36 \)
-
Solution:
\[
\begin{array}{r}
214 \\
\times 36 \\
\hline
1284 \quad \text{(214 × 6)} \\
+ 6420 \quad \text{(214 × 30, shifted left by one place)} \\
\hline
7704 \\
\end{array}
\]
-
Answer: \( 7704 \)
####
Row 4:
4.
Problem: \( 118 \times 74 \)
-
Solution:
\[
\begin{array}{r}
118 \\
\times 74 \\
\hline
472 \quad \text{(118 × 4)} \\
+ 8260 \quad \text{(118 × 70, shifted left by one place)} \\
\hline
8702 \\
\end{array}
\]
-
Answer: \( 8702 \)
####
Row 5:
5.
Problem: \( 771 \times 45 \)
-
Solution:
\[
\begin{array}{r}
771 \\
\times 45 \\
\hline
3855 \quad \text{(771 × 5)} \\
+ 30840 \quad \text{(771 × 40, shifted left by one place)} \\
\hline
34695 \\
\end{array}
\]
-
Answer: \( 34695 \)
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General Explanation of Multiplication Process
To multiply two numbers:
1. Multiply the first number by each digit of the second number, starting from the rightmost digit.
2. Shift the result one place to the left for each subsequent digit in the second number.
3. Add all the intermediate results together to get the final product.
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If you need solutions for all the problems or further clarification, feel free to ask!
Final Answer for Selected Problems:
\[
\boxed{30940, 21999, 7704, 8702, 34695}
\]
Parent Tip: Review the logic above to help your child master the concept of 6th grade math worksheets.
