Question

green: cc > chapter 1: chapter 1 review exercises > section exercises 1 > exercise 3
find the value of 192 × 38.
192 × 38 = \square

Explanation:

Step1: Break down 38 into 30 + 8

We use the distributive property of multiplication: \(a\times(b + c)=a\times b+a\times c\). So, \(192\times38 = 192\times(30 + 8)\)

Step2: Calculate \(192\times30\) and \(192\times8\)

• Calculate \(192\times30\): \(192\times30 = 5760\)
• Calculate \(192\times8\): \(192\times8 = 1536\)

Step3: Add the two results

Add \(5760\) and \(1536\): \(5760+1536 = 7296\)

Answer:

\(7296\)