Question

what is the value of the following expression? show your work.
832 × 27

Explanation:

Step1: Break down 27 into 20 + 7

We use the distributive property of multiplication: \(a\times(b + c)=a\times b+a\times c\). So, \(832\times27 = 832\times(20 + 7)\)

Step2: Calculate \(832\times20\) and \(832\times7\)

• For \(832\times20\): \(832\times20=16640\)
• For \(832\times7\): \(832\times7 = 5824\)

Step3: Add the two results

Add \(16640\) and \(5824\): \(16640+5824 = 22464\)

Answer:

\(22464\)