Difference between revisions of "1998 CEMC Gauss (Grade 7) Problems/Problem 6"

m (Solution)
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While doing the long multiplication the numbers in the thousand place are 1, 9, and 2 respectively. When added the sum is 13, so the answer is (A) 13
 
While doing the long multiplication the numbers in the thousand place are 1, 9, and 2 respectively. When added the sum is 13, so the answer is (A) 13
  
879x492 = 432,468
+
879 x 492 = 432,468
    879
+
      879
   x 492
+
   x   492
________
+
    1,758
  1,758
+
    79,110
  79,110
+
+ 351,600
+351,600
+
= 432,468  
________
+
Therefore when 1, 9, 1, 2 are added together the total is 13, so (A) 13 is correct answer.
=432,468  
 
 
 
Therefore add 1+9+1+2 = 13, so (A) 13 is correct answer.
 

Revision as of 16:24, 12 May 2024

Problem

In the multiplication question, the sum of the digits in the four boxes is:

[Multiply $879 \times 492$ using long multiplication. Find the sum of the four numbers in the thousands place column.]

$\text{(A)}\ 13 \qquad \text{(B)}\ 12 \qquad \text{(C)}\ 27 \qquad \text{(D)}\ 9 \qquad \text{(E)}\ 22$

Solution

Multiplying, we find that the numbers in the thousands place column are 1, 9, 1, and 2 respectively. Adding yields a sum of 12, so the answer is $\text{(B)}.$

-edited by coolmath34

If anyone knows the LaTeX to show long multiplication, any help would be appreciated.

-edited by De-math-wiz

Solution

While doing the long multiplication the numbers in the thousand place are 1, 9, and 2 respectively. When added the sum is 13, so the answer is (A) 13

879 x 492 = 432,468

      879
  x   492
    1,758
   79,110
+ 351,600
= 432,468 

Therefore when 1, 9, 1, 2 are added together the total is 13, so (A) 13 is correct answer.