Answer :

Sure, let's solve the multiplication problem step-by-step:

The problem is to find the product of [tex]\( 5,106 \)[/tex] and [tex]\( 141 \)[/tex].

Step-by-Step Solution:

1. Write down the numbers:
[tex]\[
5106 \times 141
\][/tex]

2. Break down the multiplication process:

- Multiply [tex]\( 5106 \)[/tex] by the ones place digit in [tex]\( 141 \)[/tex], which is [tex]\( 1 \)[/tex]:
[tex]\[
5106 \times 1 = 5106
\][/tex]

- Multiply [tex]\( 5106 \)[/tex] by the tens place digit in [tex]\( 141 \)[/tex], which is [tex]\( 4 \)[/tex], and shift one place to the left (equivalent to multiplying by 10):
[tex]\[
5106 \times 40 = 204240
\][/tex]

- Multiply [tex]\( 5106 \)[/tex] by the hundreds place digit in [tex]\( 141 \)[/tex], which is [tex]\( 1 \)[/tex], and shift two places to the left (equivalent to multiplying by 100):
[tex]\[
5106 \times 100 = 510600
\][/tex]

3. Add up all the partial products:

[tex]\[
\begin{array}{r}
\phantom{0}5106 \\
204240 \\
510600 \\
\hline
719946
\end{array}
\][/tex]

Therefore, the product of [tex]\( 5,106 \times 141 \)[/tex] is [tex]\( 719,946 \)[/tex].

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