looking at the table of 9's facts. do you see another number pattern in the multiples of 9? explain.
P = 9n
n = 1 -2 -3 -4 -5 -6 -7- 8- 9 -10
P = 9-18-27-36-45-54-63-72-81-100
Notice anything?
Yes, there is another number pattern in the multiples of 9. When you look at the product of the digits of each multiple of 9, you will find that the sum of those digits always adds up to 9.
For example, let's take the multiples of 9: 9, 18, 27, 36, 45, 54, 63, 72, 81, 90, and so on.
If we look at the first multiple of 9, which is 9, the product of its digits (9) is itself. So, the sum of its digits is 9.
The second multiple of 9 is 18. The product of its digits (1 * 8) is 8. So, the sum of its digits is also 9.
Similarly, for the third multiple of 9, which is 27, the product of its digits (2 * 7) is 14. And again, the sum of its digits is 1 + 4 = 5, which adds up to 9.
This pattern continues for every multiple of 9, where the sum of the digits of the product is always 9.
Yes, there is another number pattern in the multiples of 9. Let's take a look at the table of 9's facts:
1 x 9 = 9
2 x 9 = 18
3 x 9 = 27
4 x 9 = 36
5 x 9 = 45
6 x 9 = 54
7 x 9 = 63
8 x 9 = 72
9 x 9 = 81
10 x 9 = 90
...
If we observe the digits in the products, we can see a pattern. Notice that the first digit of each product increases by 1 from left to right, while the second digit decreases by 1.
For example:
- In 9 x 9 = 81, the first digit is 8 and the second digit is 1.
- In 5 x 9 = 45, the first digit is 4 and the second digit is 5.
This pattern continues throughout the multiples of 9. It is a consistent relationship between the digits and can help us quickly determine the products of any multiple of 9.
So, the pattern in the multiples of 9 is that the first digit of each product increases by 1 while the second digit decreases by 1.