Answer :
Sure! Let's find the product of 189 and 2,173 by multiplying these numbers step-by-step.
1. Write down the numbers to be multiplied:
- 189
- 2,173
2. Multiply 189 by each digit of 2,173, starting from the right (units place), moving to the left (thousands place):
- First, multiply 189 by 3 (units place of 2,173):
[tex]\( 189 \times 3 = 567 \)[/tex]
- Next, multiply 189 by 7 (tens place of 2,173), remember to add a zero since this is the tens place:
[tex]\( 189 \times 7 = 1,323 \rightarrow 1,3230 \)[/tex]
- Then, multiply 189 by 1 (hundreds place of 2,173), remember to add two zeros since this is the hundreds place:
[tex]\( 189 \times 1 = 189 \rightarrow 18900 \)[/tex]
- Finally, multiply 189 by 2 (thousands place of 2,173), remember to add three zeros since this is the thousands place:
[tex]\( 189 \times 2 = 378 \rightarrow 378000 \)[/tex]
3. Add up all the partial products:
[tex]\( 567 \)[/tex]
+ [tex]\( 1,3230 \)[/tex]
+ [tex]\( 18900 \)[/tex]
+ [tex]\( 378000 \)[/tex]
4. Align the numbers correctly and add them:
[tex]\[
\begin{array}{r}
567 \\
+ 1,3230 \\
+ 18900 \\
+ 378000 \\
\hline
410697 \\
\end{array}
\][/tex]
The final product of 189 and 2,173 is [tex]\( \boxed{410697} \)[/tex].
1. Write down the numbers to be multiplied:
- 189
- 2,173
2. Multiply 189 by each digit of 2,173, starting from the right (units place), moving to the left (thousands place):
- First, multiply 189 by 3 (units place of 2,173):
[tex]\( 189 \times 3 = 567 \)[/tex]
- Next, multiply 189 by 7 (tens place of 2,173), remember to add a zero since this is the tens place:
[tex]\( 189 \times 7 = 1,323 \rightarrow 1,3230 \)[/tex]
- Then, multiply 189 by 1 (hundreds place of 2,173), remember to add two zeros since this is the hundreds place:
[tex]\( 189 \times 1 = 189 \rightarrow 18900 \)[/tex]
- Finally, multiply 189 by 2 (thousands place of 2,173), remember to add three zeros since this is the thousands place:
[tex]\( 189 \times 2 = 378 \rightarrow 378000 \)[/tex]
3. Add up all the partial products:
[tex]\( 567 \)[/tex]
+ [tex]\( 1,3230 \)[/tex]
+ [tex]\( 18900 \)[/tex]
+ [tex]\( 378000 \)[/tex]
4. Align the numbers correctly and add them:
[tex]\[
\begin{array}{r}
567 \\
+ 1,3230 \\
+ 18900 \\
+ 378000 \\
\hline
410697 \\
\end{array}
\][/tex]
The final product of 189 and 2,173 is [tex]\( \boxed{410697} \)[/tex].
