5/25/2023 0 Comments 1000 multiplication chart![]() ![]() When we reach the middle of the first diagonal, we have 4 \( \times \) 4 = 16. One of the highlighted diagonals has the numbers 7, 12, 15, 16, 15, 12, and 7. Look for a pattern among the highlighted numbers in the diagonals. The same property can be observed for all columns where the sum of values in any two columns is equal to the value of another column for a given row. In math terms, if c = a b, then 5 \( \times \) c = 5 \( \times \) (a b) = 5 \( \times \) a 5 \( \times \) b. The property states that multiplying the sum of two or more addends by a number is the same as multiplying each addend separately by the number and then adding the products together. This pattern is created due to the distributive property of multiplication. ![]() Similarly, 27 45 = 72, where 27, 45, and 72 are multiples of 3, 5, and 8 that we get by multiplying them with 9. For example, 15, 25, and 40 are multiples of 3, 5, and 8 that we get when we multiply these numbers by 5. That is, the multiples of 8 are the sum of multiples of 3 and 5 for a given factor. An interesting fact here is that the multiples of these numbers follow the same rule. Consider the columns for 3, 5, and 8 and compare the products in these columns. We can observe an interesting pattern in the multiplication table by looking at its columns.
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