The Math Behind the Fact: 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! See the reference for more mathematical magic tricks.
It is a square number (33 squared), a nonagonal number, a 32-gonal number, a 364-gonal number, and a centered octagonal number. 1089 is the first reverse-divisible number. The next is 2178 (= 1089 × 2 = 8712/4), and they are the only four-digit numbers that divide their reverse.
The mystery is this: first, take any three digit number, where the first and last digits differ by two or more and reverse the number to produce a new one. Then subtract the smaller from the larger producing another new number. If you reverse this number and this time add the two, the result will always be 1089.
The number 6174 is known as Kaprekar's constant after the Indian mathematician D. R. Kaprekar.
The number '2' is the closest letter resembling the letter 'Z' which many countries don't use in certain combinations of their number plates. So if you want a 'Z' in your custom number plates, use a number '2'! A Number '3' on a number plate is basically the reverse of the letter 'E'.
The first few weird numbers are 70, 836, 4030, 5830, 7192, 7912, 9272, 10430, ... (OEIS A006037). An infinite number of weird numbers are known to exist, and the sequence of weird numbers has positive Schnirelmann density.
Strike a line on the first "+" and make it "4". this would make it 545+5+5=555!!
Expert-Verified Answer
The object that has 12 faces and 42 eyes is; A pair of dice. This is so, because a dice has six sides and every side has dots on it which counts from one to six. When adding all, it sums up to become 24.
Reverse the number, and subtract the smaller of the two numbers from the larger (e.g. 782-287=495). Then reverse the result and add (thus 495+594=1089). The remarkable thing with this is: the result is always 1089, no matter which 3-figure number you start with.
Yes, 1089 is a perfect square, as it can be expressed in the form of the product of two equal integers. (i.e) 1089 = 33×33.
(12345 × 54321) ÷ 1000 = (2469 × 54321) ÷ 200 → gives a remainder of (69 × 121) ÷ 200 = 8349 ÷ 200 → gives us a remainder of 149. Thus, the remainder would be 149 × 5 = 745. Hence, the last three digits would be 745.
Kaprekar constant, or 6174, is a constant that arises when we take a 4-digit integer, form the largest and smallest numbers from its digits, and then subtract these two numbers. Continuing with this process of forming and subtracting, we will always arrive at the number 6174.
1089 in words = one thousand eighty-nine
And, you may also be interested in how to spell 1094; check it out now!
Just as 13 is considered one of the unluckiest of all numbers, 12 is considered the rare lucky number that happens to also be even. The origins of this superstition are sketchy, but some sources suggest that 12 gained its lucky rep simply because it's so nicely divisible.
Simply put, pi is weird. Mathematicians call it a "transcendental number" because its value cannot be calculated by any combination of addition, subtraction, multiplication, division, and square root extraction.
What has six faces and twenty-one eyes? Answer: Dice.
Riddle. I have six faces but not even one body connected, 21 eyes in total but cannot see. What am I? Answer: A dice.
A cube has 6 faces, 12 edges and 8 vertices.
In each house lives a person with a different nationality. These five owners drink a certain type of beverage, smoke a certain brand of cigar, and keep a certain pet. No owners have the same pet, smoke the same brand of cigar, or drink the same beverage. Now to solve, tell me who owns the fish?
Expert-Verified Answer
For decades, a math puzzle has stumped the smartest mathematicians in the world. x3+y3+z3=k, with k being all the numbers from one to 100, is a Diophantine equation that's sometimes known as "summing of three cubes." ∴ The required result will be 3xyz.
Trick 3: Think of a number
Subtract 3 with the result. Divide the result by 2. Subtract the number with the first number started with. The answer will always be 3.
In 1299, zero was banned in Florence, along with all Arabic numerals, because they were said to encourage fraud. Zero could easily be doctored to become nine, and why not add a few zeros on the end of a receipt to inflate the price?
One, sometimes referred to as unity, is the first non-zero natural number. It is thus the integer after zero. Any number multiplied by one remains that number, as one is the identity for multiplication. As a result, 1 is its own factorial, its own square and square root, its own cube and cube root, and so on.
The number seven was considered to be particularly interesting because it consisted of the union of the physical (number 4) with the spiritual (number 3). In Pythagorean numerology the number 7 means spirituality.