Q2 of 95 Page 68

In the multiplication table made earlier, take a square of nine numbers, instead of four, and mark the numbers at the four corners:


What is the difference of diagonal sums?

MULTIPLICATION TABLE


In this part, we are considering this red square of a multiplication table.


Diagonal sums: 6+20 = 26


10+12 = 22


Difference between diagonal sums = 26 – 22 = 4


More from this chapter

All 95 →
1

Write number like this:


Instead of a square of four numbers, take a square of nine numbers and mark only the numbers at the four corners.



What is the difference of diagonal products? Explain using algebra.

 1

Write number like this:


Instead of a square of four numbers, take a square of nine numbers and mark only the numbers at the four corners.



What is the difference of diagonal products? Explain using algebra.

 2

In the multiplication table made earlier, take a square of nine numbers, instead of four, and mark the numbers at the four corners:


What is the difference of diagonal sums?

 2

In the multiplication table made earlier, take a square of nine numbers, instead of four, and mark the numbers at the four corners:


Explain using algebra, why this difference is the same for all such squares.