The product of 11*25*49*399*487*59 has units digit is 0 what is the possible values of a such that the units digit remains same
Answers
Answer: Yes
Step-by-step explanation: A number is made up from digits in the numeral system is called Unit's Digit. We often use the decimal system in which we use 10 digits, In writing the any number, many digits are used, even repeatation of digits. when we write any number using the digits, the last digit ( from right side ) in that number is called unit digit. For example in the number 48750, here "0" is called unit digit.Now, the product of unit digits in the given product 459×46×25×28@×484is shown below:$$9\times 6\times 5\times @\times 4=216\times@$$Now, it is given that the unit digit is 2, so, to obtain 2 in the unit's place, let @=7 (because 6×7=42), then we have:216×@=216×7=1512 where 2 is the unit digit.Hence, the digit place of @ is 7.
0 is the additive identity.1 is the multiplicative identity.2 is the only even prime.3 is the number of spatial dimensions we live in.4 is the smallest number of colors sufficient to color all planar maps.5 is the number of Platonic solids.6 is the smallest perfect number.7 is the smallest number of sides of a regular polygon that is not constructible by straightedge and compass.8 is the largest cube in the Fibonacci sequence.9 is the maximum number of cubes that are needed to sum to any positive integer.10 is the base of our number system.11 is the largest known multiplicative persistence.12 is the smallest abundant number.13 is the number of Archimedean solids.14 is the smallest even number n with no solutions to φ(m) = n.15 is the smallest composite number n with the property that there is only one group of order n.16 is the only number of the form xy = yx with x and y being different integers.17 is the number of wallpaper groups.18 is the only positive number that is twice the sum of its digits.19 is the maximum number of 4th powers needed to sum to any number.20 is the number of rooted trees with 6 vertices.21 is the smallest number of distinct squares needed to tile a square.22 is the number of partitions of 8.23 is the smallest number of integer-sided boxes that tile a box so that no two boxes share a common length.24 is the largest number divisible by all numbers less than its square root.25 is the smallest square that can be written as a sum of 2 positive squares.26 is the only positive number to be directly between a square and a cube.27 is the largest number that is the sum of the digits of its cube.28 is the 2nd perfect number.29 is the 7th Lucas number.30 is the largest number with the property that all smaller numbers relatively prime to it are prime.31 is a Mersenne prime.32 is the smallest non-trivial 5th power.33 is the largest number that is not a sum of distinct triangular numbers.34 is the smallest number with the property that it and its neighbors have the same number of divisors.35 is the number of hexominoes.36 is the smallest non-trivial number which is both square and triangular.37 is the maximum number of 5th powers needed to sum to any number.38 is the last Roman numeral when written lexicographically.39 is the smallest number which has 3 different partitions into 3 parts with the same product.40 is the only number whose letters are in alphabetical order.41 is a value of n so that x2 + x + n takes on prime values for x = 0, 1, 2, ... n-2.42 is the 5th Catalan number.43 is the number of sided 7-iamonds.44 is the number of derangements of 5 items.45 is a Kaprekar number.46 is the number of different arrangements (up to rotation and reflection) of 9 non-attacking queens on a 9×9 chessboard.47 is the largest number of cubes that cannot tile a cube.48 is the smallest number with 10 divisors.49 is the smallest number with the property that it and its neighbors are squareful.50 is the smallest number that can be written as the sum of of 2 squares in 2 ways.
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