Find the numerical equivalent of 72⋅73

1 answer

To find the numerical equivalent of \( 72 \cdot 73 \), we can use the algebraic identity for the product of two consecutive integers:

\[ n(n + 1) = n^2 + n \]

Here, let \( n = 72 \): \[ 72 \cdot 73 = 72^2 + 72 \]

Now, let's calculate \( 72^2 \): \[ 72^2 = 5184 \]

Next, we add 72: \[ 5184 + 72 = 5256 \]

Thus, the numerical equivalent of \( 72 \cdot 73 \) is: \[ \boxed{5256} \]