Expand 101 × 102 using brackets and find the value.

101 × 102 = (100 + 1) × (100 + 2)

We can expand the equation further by using the distributive property of multiplication,

= {(100 + 1) × 100 } + {(100 + 1) × 2} 

= 100 × 100 + 1 × 100 + 100 × 2 + 1 × 2 

= 10,000 + 100 + 200 + 2 = 10,000 + 300 + 2 

= 10,302