Question

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

Explanation:

Step1: Split the numbers

We can use the distributive property (FOIL method for two - digit numbers). Write \(78 = 70+8\) and \(58 = 50 + 8\). Then \((70 + 8)\times(50+8)=70\times50+70\times8 + 8\times50+8\times8\)

Step2: Calculate each product

• Calculate \(70\times50\): \(70\times50 = 3500\)
• Calculate \(70\times8\): \(70\times8=560\)
• Calculate \(8\times50\): \(8\times50 = 400\)
• Calculate \(8\times8\): \(8\times8 = 64\)

Step3: Sum the products

Add the four results together: \(3500+560 + 400+64\). First, \(3500+560=4060\), then \(4060 + 400 = 4460\), and finally \(4460+64=4524\)

Answer:

\(4524\)