Answers:
A = 2
B = 2300
C = 46
D = 2346
Step-by-step explanation:
The distributive law says to multiply the outer 23 by each term inside the parenthesis. This explains the 23 x 100 up front. The second part must be 23 x 2, which leads to A = 2
From here, we evaluate each multiplication piece.
23 x 100 = 2300 which is the value of B
23 x 2 = 46 which goes into box C
The third line will say 2300 + 46. Adding those two items leads to 2346 which goes into box D
Here is what the scratch work will look like
23 x 102 = 23 x (100 + 2)
= 23 x 100 + 23 x 2
= 2300 + 46
= 2346
Therefore, 23 x 102 = 2346
