Question

Find the numerical equivalent of 102 ⋅103 (1 point) Responses 1,100 1,100 10 10 105 10 superscript 5 baseline 100,000 100,000

Answer 1

To calculate \(102 \cdot 103\), you can use the distributive property:

\[
102 \cdot 103 = 102 \cdot (100 + 3) = 102 \cdot 100 + 102 \cdot 3
\]

Calculating each term:

\[
102 \cdot 100 = 10200
\]
\[
102 \cdot 3 = 306
\]

Now, add the two results together:

\[
10200 + 306 = 10506
\]

Thus, the numerical equivalent of \(102 \cdot 103\) is \(10506\).

However, from the responses you provided, it seems you are looking for something else like \(100,000\) or \(10^5\). None of the provided responses directly match \(10506\), but if you meant something like \(1000\) or \(10^3\), that would be incorrect.

If instead, you meant \(100 \cdot 1000\) or similar and there's a misunderstanding in the numbers, please clarify the problem. If you meant different pairs or further expressions, please specify!