Answer :

To multiply 872 by 95, we can break it down into a simple multiplication process:

1. Multiply the two numbers:

You start by multiplying 872 by 95.

2. Step-by-step multiplication:

Let's break it down further by multiplying step by step.

- Multiply 872 by 5 (the units digit of 95):

[tex]\[
\begin{array}{}
\phantom{+}872 \\
\times \phantom{2}5 \\
\hline
4360 \\
\end{array}
\][/tex]

- Next, multiply 872 by 9 (the tens digit of 95). Remember to add a zero at the end because you are, effectively, multiplying by 90:

[tex]\[
\begin{array}{}
\phantom{+}872 \phantom{0} \\
\times \phantom{2}90 \\
\hline
78480 \\
\end{array}
\][/tex]

3. Add the results:

Now add the two results to get the final product:

[tex]\[
\begin{array}{c}
\phantom{+}4360 \\
+78480 \\
\hline
82840 \\
\end{array}
\][/tex]

So, when you multiply 872 by 95, you get 82,840. The correct answer is D. 82,840.

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