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Earn +20 ptsQ: Do multiples of 9 add up to 9?
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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.
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