Patterns in Multiplying by 9’s Multiples of 9 have a pattern of 9, 8, 7, 6, 5, 4, 3, 2, 1, 0 in the ones place. All multiples of 9 are one less than 10 away from each other. (So, we can add 10, subtract 1 to find the next multiple of 9.) A multiple of 9 can be even or odd.
How do you know a number is a multiple of 9?
Rule A number is divisible by 9 if the sum of the digits are evenly divisible by 9. Examples of numbers that satisfy this rule and are divisible by 9. 4+5+1+8=18 which is divisible by 9, so 4,518 is divisible by 9.
Why do the digits of multiples of 9?
Since our base-ten system has a digital root system of 9 we get multiples of 9 that always fall on the digital root 9. This is because both the digital root counts up by (10 – 1)n with each multiple of 9 and 9 counts up (10-1)n with each multiple in the digital root.
What is the pattern of multiples of 6?
Multiples of 6 have a pattern of 6, 2, 8, 4, 0 in the ones place. When a multiple of 2 and 3 overlap, you get a multiple of 6. All multiples of 6 are even numbers. All multiples of 6 are 6 away from each other. Multiples of 6 are every other multiple of 3. Multiples of 7 have a pattern of 7, 4, 1, 8, 5, 2, 9, 6, 3, 0 in the ones place.
What is the pattern of multiples of 3?
Multiples of 3 have a pattern of 3, 6, 9, 2, 5, 8, 1, 4, 7, 0 in the ones place. Every other multiple of 3 is even. All EVEN multiples of 3 are also a multiple of 6 (the even multiples of 3 are the 6 “count by’s”). Multiples of 4 have a pattern of 4, 8, 2, 6, 0 in the ones place.
What is the pattern of multiples of 8?
Multiples of 8 have a pattern of 8, 6, 4, 2, 0 in the ones place. All multiples of 8 are even. All multiples of 8 are multiples of 2 and 4. To multiply a number by 8, you can double-double-double the number. (Example: 4 x 8 —> 4 doubled = 8, 8 doubled = 16, 16 doubled = 32. 4 x 8 = 32)
Are there multiples of 7 in the ones place?
Multiples of 7 have a pattern of 7, 4, 1, 8, 5, 2, 9, 6, 3, 0 in the ones place. Besides multiples of 9, 7’s have the greatest variety of numbers represented in the ones place—hitting every digit from 0 to 9 along the way! —> Have students continue the pattern beyond 119 to see how long it goes.
