Without finding the squares, find the units digit in the squares of the following numbers: (i) 352 (ii) 9377 (iii) 285 (iv) 4626 (v) 999
Answer (1)
To determine the units digit of the squares of the given numbers, we need to focus only on the units digit of each number. This is because the units digit of any number squared is solely determined by the units digit of the original number.
Let's find the units digit of the square for each given number:
352 :
The units digit of 352 is 2.
The units digit of 2 2 is 4.
Therefore, the units digit of 35 2 2 is 4 .
9377 :
The units digit of 9377 is 7.
The units digit of 7 2 is 49, and the units digit of 49 is 9.
Therefore, the units digit of 937 7 2 is 9 .
285 :
The units digit of 285 is 5.
The units digit of 5 2 is 25, and the units digit of 25 is 5.
Therefore, the units digit of 28 5 2 is 5 .
4626 :
The units digit of 4626 is 6.
The units digit of 6 2 is 36, and the units digit of 36 is 6.
Therefore, the units digit of 462 6 2 is 6 .
999 :
The units digit of 999 is 9.
The units digit of 9 2 is 81, and the units digit of 81 is 1.
Therefore, the units digit of 99 9 2 is 1 .
By looking at just the units digit and using the square property, we can easily find the units digit of any number squared without calculator-intensive multiplication.
