![]() So, when any number is multiplied by 6, it can be rewritten as that number multiplied by the double of 3. Describe the pattern observed in the multiples of these numbers. This pattern is just a variation of the pattern we observed in the diagonals of the table.Įxample 2: Compare the rows of 3 and 6. The commutative property states that 7 \( \times \) 3 = 3 \( \times \) 7 = 21. The number 21 in the highlighted column is obtained by multiplying 7 \( \times \) 3, and the 21 in the highlighted row is obtained by multiplying 3 \( \times \) 7. Consider the number 21 in the highlighted row and the highlighted column. The property which creates this pattern can be identified by observing the numbers in the highlighted row and column. Describe the property that creates this pattern. The same trend is observed among all the numbers in all diagonals.Įxample 1: The highlighted row and column of the multiplication table have the same set of numbers. On its left side, 15 is obtained by multiplying 5 \( \times \) 3, and on its right side, 15 is obtained by multiplying 3 \( \times \) 5, giving the same result. 16 is obtained by multiplying 4 by itself. Consider the diagonal with the numbers 7, 12, 15, 16, 15, 12, and 7. The numbers in the diagonals repeat themselves in the reverse order because of the factors. This applies to the multiplication of all numbers. The commutative property of multiplication states that when we multiply numbers in any order, we will get the same result.įor example, 2 \( \times \) 3 = 6 and 3 \( \times \) 2 = 6, 5 \( \times \) 8 = 40 and 8 \( \times \) 5 = 40. This pattern is created due to the commutative property of multiplication. The same pattern can be observed in the second and the third highlighted diagonals. ![]() The products following this number are the same as the ones that appeared before it. 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.
0 Comments
Leave a Reply. |
AuthorWrite something about yourself. No need to be fancy, just an overview. ArchivesCategories |