1. What will be the unit digit of the product of the following numbers?

(i) 81
(ii) 272
(iii) 799
(iv) 3853
(v) 12.34
(vi) 2
(vii) 387
(viii) 52698
(ix) 99880
(x) 12796
(xi) 55.55



Answer :

To determine the unit digits of the given numbers, follow these steps:

1. Identify the unit digit of each number. The unit digit is simply the last digit of the number.

Let's examine each number individually to determine its unit digit:

(i) 81
- The last digit of 81 is 1.

(ii) 272
- The last digit of 272 is 2.

(iii) 799
- The last digit of 799 is 9.

(iv) 3853
- The last digit of 3853 is 3.

(v) 12.34
- Although 12.34 is a decimal number, the digit immediately after the decimal point will give its unit digit in context. The last recognizable digit as a "unit" here is 4.

(vi) 2
- The number 2 itself is already an integer, hence the unit digit is 2.

(vii) 387
- The last digit of 387 is 7.

(viii) 52698
- The last digit of 52698 is 8.

(ix) 99880
- The last digit of 99880 is 0.

(x) 12796
- The last digit of 12796 is 6.

(xi) 55.55
- Similar to the decimal example above, the unit digit in the context of decimal notation can be considered as 5.

Hence, the unit digits for the given numbers are sorted and presented as follows:
1. 81 - 1
2. 272 - 2
3. 799 - 9
4. 3853 - 3
5. 12.34 - 4
6. 2 - 2
7. 387 - 7
8. 52698 - 8
9. 99880 - 0
10. 12796 - 6
11. 55.55 - 5

So, compiling the unit digits, we get:
[tex]\[ 1, 2, 9, 3, 4, 2, 7, 8, 0, 6, 5 \][/tex]