Question 1 - Figure it out - Page 142, 143 - Chapter 6 Class 8 - We Distribute yet things Multiply (Ganita Prakash)

Transcript

Question 1 Observe the multiplication grid below. Each number inside the grid is formed by multiplying two numbers. If the middle number of a 3 × 3 frame is given by the expression pq, as shown in the figure, write the expressions for the other numbers in the grid.We follow these rules First number is same in same row Second number is same in same column So, our filled grid looks like (𝒑−𝟏) × (𝒒−𝟏) (𝒑−𝟏)𝒒 (𝒑−𝟏) × (𝒒+𝟏) 𝒑(𝒒−𝟏) 𝒑(𝒒+𝟏) (𝒑+𝟏) × (𝒒+𝟏) (𝒑+𝟏)𝒒 (𝒑+𝟏) × (𝒒−𝟏) (𝒑+𝟏) × (𝒒−𝟏) A more readable grid is Left Col (q − 1) Middle Col (q) Right Col (q + 1) Top Row (p –1) (𝒑−𝟏)(𝒒−𝟏) (𝒑−𝟏)𝒒 (𝒑−𝟏)(𝒒+𝟏) Middle Row (p) 𝒑(𝒒−𝟏) (𝒑+𝟏)(𝒒+𝟏)(𝒑+𝟏)𝒒(𝒑+𝟏)(𝒒−𝟏)Bottom Row (p + 1)