Question

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Explanation:

Step1: Decompose 23 into 20 + 3

We can write \(23 = 20 + 3\). Then, we use the distributive property of multiplication over addition: \(68\times23=68\times(20 + 3)=68\times20+68\times3\)

Step2: Calculate \(68\times3\)

\(68\times3 = 204\)

Step3: Calculate \(68\times20\)

\(68\times20=1360\)

Step4: Add the two partial products

Now, we add the two results together: \(1360 + 204=1564\)

Answer:

The partial products are \(68\times3 = 204\) and \(68\times20 = 1360\), and the final result of \(68\times23\) is \(1564\).