Question

What is the last digit of the smallest positive integer whose digits add to
2019?

Answer 1

Your Answer is = 9s because smallest positive integer is 9

Answer 2

Answer:

Its last digit is 9.

Step-by-step explanation:

Given two positive integers made up of different numbers of digits, the integer which has the

smaller number of digits will be the smaller of the two integers. [For example, 9 999 999 which

has seven digits is smaller than 10 000 000 which has eight digits.]

Therefore to obtain the smallest positive integer whose digits add up to 2019, we seek positive

integers with the smallest possible number of digits whose digits add up to 2019. These will be

the positive integers which contain the largest possible number of copies of the digit 9.

Now 2019 ÷ 9 = 224 with remainder 3. Therefore the smallest positive integer whose digits add

up to 2019 will have 225 digits, of which 224 are 9s, with the other digit being 3.

The smallest such positive integer consists of a single 3 followed by 224 copies of 9.

The last digit of this positive integer is 9

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