Crazy Eights and Crazy Addition
Algebra
Level
pending
Which of these addition sentences that have eight eights used in them equal 1,000?
888 + 88 + 8 + 88
88 + 88 + 888 + 8
88 + 88 + 88 + 88
8 + 8 + 8 + 8 + 888 + 8
8 + 8 + 88 + 88 + 88
888 + 888 + 88
88 + 88 + 8 + 888
888 + 88 + 8 + 8 + 8
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The unit digit of all individual terms is 8
So for the sum to be 1000, the number of terms must be a multiple of 5
Hence, only two choices are valid: 8 + 8 + 88 + 88 + 88 and 888 + 88 + 8 + 8 + 8
But 8 + 8 + 88 + 88 + 88 is around 300ish (too less than 1000)
So by elimination, only valid choice is 888 + 88 + 8 + 8 + 8 which indeed sums to 1000 :)