Let us determine the product of 438 and 17 by partial products.
Consider [tex]438 = 400+30+8[/tex]
and [tex]17 = 10+7[/tex]
So, [tex]438 \times 17 = (400+30+8) \times (10+7)[/tex]
[tex]438 \times 17 = (400\times 10)+(30 \times 10)+(8 \times 10) +(400 \times 7)+(30 \times 7)+(8 \times 7)[/tex]
= [tex]438 \times 17 = (4000+300+80+2800+210+56)[/tex]
= 7446
Therefore, the product of 438 and 17 is 7446.
No, Sandra's answer is not correct.
Because she should have expressed 17 as (10+7), then if she multiplied (438 by 10) and (438 by 7). And, then added the results.Then her answer would be correct.
