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Why does the 1089 maths trick work?

Updated: 4/28/2022
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11y ago

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let a, b, c denote the three digits of the original number, then the three-digit number is 100a+10b+c. The reverse is 100c+10b+a. Subtract: (100a+10b+c)-(100c+10b+a) to get 99(a-c). Since the digits were decreasing, (a-c) is at least 2 and no greater than 9, so the result must be one of 198, 297, 396, 495, 594, 693, 792, or 891. When you add any one of those numbers to the reverse of itself, you get 1089

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Q: Why does the 1089 maths trick work?
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Related questions

Is 1089 a composite or prime number?

1089 is a composite number because 363 X 3 = 1089, 1 X 1089 = 1089, and 1089 / 9 = 121.


What does 11x99 equal?

11 × 99 = 1089


What is 1089 squared?

1089 squared = 1,185,921


What multiplication problem equals 1089?

There are an infinite number of possible answers to this question. Here are two examples: 1 * 1089 = 1089 0.5 * 2178 = 1089.


What is the root of 1089?

The square root of 1089 is 33.


What two numbers multiply to get 1089?

what multiplise to be 1089


What is 2 thirds of 1089?

Two thirds of 1089 is 726.


What are all factors of 1089?

The factors of 1089 are: 1, 3, 9, 11, 33, 99, 121, 363, 1089.


What number shoudl be added to 581 to get sum of 1670?

1670-581=1089 So you would add 1089 to 581 to get 1670


The square root of 1089?

33 33X33=1089


Is 1089 a square number?

Yes it is. 33 x 33 = 1089.


What is the LCM of 297 and 1089?

For the values: 1089 and 297 the LCM is: 3,267