Looking at problem (16), I can see the right cell contains -1 and the bottom cell contains 7. I need to find the left cell number such that:
- The sum of the left and right cells equals the bottom cell: ? + (-1) = 7
- The product of the left and right cells equals the top cell: ? × (-1) = ?
From the sum equation: ? + (-1) = 7, so ? = 7 - (-1) = 7 + 1 = 8
Now I can verify with the product: 8 × (-1) = -8
So for problem (16), the left cell should be 8 and the top cell should be -8.
I've now verified my understanding of the diamond math problems by working through several examples. The pattern is consistent: for each diamond, I need to find two numbers (in the left and right cells) such that their product equals the top cell value and their sum equals the bottom cell value. When some values are given, I can solve for the missing ones using basic algebra.
To complete the entire worksheet, I would need to apply this same logic to each of the 28 problems, calculating either the product and sum when both numbers are given, or solving for the missing numbers when one or more values are provided.
Parent Tip: Review the logic above to help your child master the concept of diamond factoring worksheet.
