NCERT CLASS 6 MATHS 2025 CHAPTER 10J THE OTHER SIDE OF ZERO PAGES 263, 264

Описание: NCERT CLASS 6 MATHS 2025 CHAPTER 10J THE OTHER SIDE OF ZERO PAGES 263, 264

EXPLORATIONS WITH INTEGERS
A HOLLOW INTEGER GRID
There is something special about the numbers in these two grids.
Let us explore what that is.
Top row: 4 + (– 1) + (– 3) = 0 5 + (– 3) + (– 5) = ____
Bottom row: (– 1) + (– 1) + 2 = 0 (– 8) + (– 2) + 7 = ____
Left column: 4 + (– 3) + (– 1) = 0 5 + 0 + (– 8) = ____
Right column: (– 3) + 1 + 2 = 0 (– 5) + (– 5) + 7 = ____

In each grid, the numbers in each of the two rows (the top row and the bottom row) and the numbers in each of the two columns (the leftmost column and the rightmost column) add up to give the same number. We shall call this sum as the ‘border sum’. The border sum of the first grid is ‘0’.

FIGURE IT OUT
1. Do the calculations for the second grid above and find the border sum.

2. Complete the grids to make the required border sum:
Border sum is +4
Border sum is – 2
Border sum is – 4

3. For the last grid above, find more than one way of filling the numbers to get border sum – 4.

4. Which other grids can be filled in multiple ways? What could be the reason?

5. Make a border integer square puzzle and challenge your classmates.