Question

ation 2dg x 2dg
wo digits by two digits.
b. 78 × 58 =

Explanation:

Step1: Break down the numbers

We can write \(78 = 70 + 8\) and \(58 = 50 + 8\). Then we use the distributive property (FOIL method for binomials) to multiply them: \((70 + 8)\times(50 + 8)\).

Step2: Apply the distributive property

First, multiply \(70\times50 = 3500\), then \(70\times8 = 560\), then \(8\times50 = 400\), and finally \(8\times8 = 64\).

Step3: Sum the products

Now we add up all these products: \(3500 + 560 + 400 + 64\). First, \(3500+560 = 4060\), then \(4060 + 400 = 4460\), and finally \(4460+64 = 4524\).

Answer:

\(4524\)