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How do the digits in each product relate to the factor 9?
If they are multiples of 9, the digits add up to a multiple of 9.
What is the sum of the multiples of 9?
There are infinitely many multiples of 9 and it is not possible to add them all.
What is noticeable about the sum in the multiples of 9?
That the sum of its digits add up to 9 as for example 9*9 = 81 and 8+1 = 9
What is the first multiple of 9 that contains all even numbers?
288. All multiples of 9 will have digits that add to a multiple of 9. To get a multiple of 9 to be all even, you need to get them to add to 18, since no set of even numbers will add up to 9. 288 is the lowest multiple of 9 to be able to add to 18. ■
Is 498 a multiples for 9?
The digits of 498 do not add to a multiple of 9 so it isn't.
Can you think of another number pattern in multiples of 9?
The digital sum of multiples of 9 always add up to 9 as for example 9*9 = 81 and 8+1 = 9
How do the digits in each product relate to the factor 9?
If they are multiples of 9, the digits add up to a multiple of 9.
What is the sum of the multiples of 9?
There are infinitely many multiples of 9 and it is not possible to add them all.
What is noticeable about the sum in the multiples of 9?
That the sum of its digits add up to 9 as for example 9*9 = 81 and 8+1 = 9
What multiple of 9 is greater than 110 but less than 120?
117. All multiples of 9 have digits that add up to something divisible by 9. Examples, 117, 36, 45, 54 all have digits that add up to 9.
How you know which numbers are multiples of 3?
If you add up the two digits and they make either 3, 6, or 9
What is the first multiple of 9 that contains all even numbers?
288. All multiples of 9 will have digits that add to a multiple of 9. To get a multiple of 9 to be all even, you need to get them to add to 18, since no set of even numbers will add up to 9. 288 is the lowest multiple of 9 to be able to add to 18. ■
Is 498 a multiples for 9?
The digits of 498 do not add to a multiple of 9 so it isn't.
Why do no digits of a prime number add up to 9?
Because they're in multiples of three - a quick way to tell if a number is a multiple of three is to add up the digits and see if the digits add up to a multiple of three e.g 576, 5+7+6=18, 1+8=9, 9 is a multiple of three
What are the similarities of multiples of 3?
All multiples of 3 have digits that add up to a multiple of 3.
List all multiples of 9 up to 750?
9
What are the multiples of 9 up to 300?
918273645546372819099108117126135144153162171180189198207216225234243252261270279288297306
