Certainly! Let's go through each multiplication step-by-step using the column method.
### Part A: [tex]\(275 \times 15\)[/tex]
1. Multiply 275 by 5 (units place of 15):
[tex]\[
\begin{array}{r}
275 \\
\times\ 5 \\
\hline
1375 \\
\end{array}
\][/tex]
Result: 1375 (Units place multiplication)
2. Multiply 275 by 10 (tens place of 15):
[tex]\[
\begin{array}{r}
2750 \\
\end{array}
\][/tex]
Result: 2750 (Tens place multiplication)
3. Add both intermediate results:
[tex]\[
\begin{array}{r}
1375 \\
+ 2750 \\
\hline
4125 \\
\end{array}
\][/tex]
Final result: 4125
### Part B: [tex]\(2,151 \times 12\)[/tex]
1. Multiply 2151 by 2 (units place of 12):
[tex]\[
\begin{array}{r}
2151 \\
\times\ 2 \\
\hline
4302 \\
\end{array}
\][/tex]
Result: 4302 (Units place multiplication)
2. Multiply 2151 by 10 (tens place of 12):
[tex]\[
\begin{array}{r}
21510 \\
\end{array}
\][/tex]
Result: 21510 (Tens place multiplication)
3. Add both intermediate results:
[tex]\[
\begin{array}{r}
4302 \\
+ 21510 \\
\hline
25812 \\
\end{array}
\][/tex]
Final result: 25812
### Part C: [tex]\(639 \times 23\)[/tex]
1. Multiply 639 by 3 (units place of 23):
[tex]\[
\begin{array}{r}
639 \\
\times\ 3 \\
\hline
1917 \\
\end{array}
\][/tex]
Result: 1917 (Units place multiplication)
2. Multiply 639 by 20 (tens place of 23):
[tex]\[
\begin{array}{r}
12780 \\
\end{array}
\][/tex]
Result: 12780 (Tens place multiplication)
3. Add both intermediate results:
[tex]\[
\begin{array}{r}
1917 \\
+ 12780 \\
\hline
14697 \\
\end{array}
\][/tex]
Final result: 14697
By following these steps, we get:
- The result of [tex]\(275 \times 15\)[/tex] is 4125.
- The result of [tex]\(2,151 \times 12\)[/tex] is 25812.
- The result of [tex]\(639 \times 23\)[/tex] is 14697.
