Q1 of 95 Page 68

Write number like this:


As in the calendar; mark four numbers in a square and find the difference of diagonal products. Is it the same for all squares of four numbers?


Let us consider this green square.


Diagonal products are:


2×8 = 16


7×3 = 21


Difference = 21-16 = 5



Now let us consider this green square.


Diagonal products: 9× 15 = 135


14× 10 = 140


Difference = 140 – 135 = 5



Now consider this green square.


Diagonal products: 11× 17 = 187


16× 12 = 192


Difference = 192 – 187 = 5


So, we observe that in all the above cases the difference of diagonal products is coming out to be same and is equal to 5.


More from this chapter

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1

Write number like this:


As in the calendar; mark four numbers in a square and find the difference of diagonal products. Is it the same for all squares of four numbers?

 1

Write number like this:


Explain why this is so, using algebra.

 1

Write number like this:


Explain why this is so, 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.