Answer :
Sure, let's solve the problem of determining the unit digit of the squares of the given numbers step-by-step.
To find the unit digit of the square of any number, you only need to consider the unit digit of that number. This is because the product of the unit digits of the original number will determine the unit digit of the result.
Let's go through each number:
1. 951:
- The unit digit is 1.
- The unit digit of [tex]\(1^2\)[/tex] is 1.
- Therefore, the unit digit of the square of 951 is 1.
2. 502:
- The unit digit is 2.
- The unit digit of [tex]\(2^2\)[/tex] is 4.
- Therefore, the unit digit of the square of 502 is 4.
3. 329:
- The unit digit is 9.
- The unit digit of [tex]\(9^2\)[/tex] is 81, so the unit digit is 1.
- Therefore, the unit digit of the square of 329 is 1.
4. 7643:
- The unit digit is 3.
- The unit digit of [tex]\(3^2\)[/tex] is 9.
- Therefore, the unit digit of the square of 7643 is 9.
5. 5124:
- The unit digit is 4.
- The unit digit of [tex]\(4^2\)[/tex] is 16, so the unit digit is 6.
- Therefore, the unit digit of the square of 5124 is 6.
6. 7625:
- The unit digit is 5.
- The unit digit of [tex]\(5^2\)[/tex] is 25, so the unit digit is 5.
- Therefore, the unit digit of the square of 7625 is 5.
7. 68327:
- The unit digit is 7.
- The unit digit of [tex]\(7^2\)[/tex] is 49, so the unit digit is 9.
- Therefore, the unit digit of the square of 68327 is 9.
8. 95628:
- The unit digit is 8.
- The unit digit of [tex]\(8^2\)[/tex] is 64, so the unit digit is 4.
- Therefore, the unit digit of the square of 95628 is 4.
9. 99880:
- The unit digit is 0.
- The unit digit of [tex]\(0^2\)[/tex] is 0.
- Therefore, the unit digit of the square of 99880 is 0.
10. 12796:
- The unit digit is 6.
- The unit digit of [tex]\(6^2\)[/tex] is 36, so the unit digit is 6.
- Therefore, the unit digit of the square of 12796 is 6.
In summary, the unit digits of the squares of the given numbers are:
1. 951 - 1
2. 502 - 4
3. 329 - 1
4. 7643 - 9
5. 5124 - 6
6. 7625 - 5
7. 68327 - 9
8. 95628 - 4
9. 99880 - 0
10. 12796 - 6
To find the unit digit of the square of any number, you only need to consider the unit digit of that number. This is because the product of the unit digits of the original number will determine the unit digit of the result.
Let's go through each number:
1. 951:
- The unit digit is 1.
- The unit digit of [tex]\(1^2\)[/tex] is 1.
- Therefore, the unit digit of the square of 951 is 1.
2. 502:
- The unit digit is 2.
- The unit digit of [tex]\(2^2\)[/tex] is 4.
- Therefore, the unit digit of the square of 502 is 4.
3. 329:
- The unit digit is 9.
- The unit digit of [tex]\(9^2\)[/tex] is 81, so the unit digit is 1.
- Therefore, the unit digit of the square of 329 is 1.
4. 7643:
- The unit digit is 3.
- The unit digit of [tex]\(3^2\)[/tex] is 9.
- Therefore, the unit digit of the square of 7643 is 9.
5. 5124:
- The unit digit is 4.
- The unit digit of [tex]\(4^2\)[/tex] is 16, so the unit digit is 6.
- Therefore, the unit digit of the square of 5124 is 6.
6. 7625:
- The unit digit is 5.
- The unit digit of [tex]\(5^2\)[/tex] is 25, so the unit digit is 5.
- Therefore, the unit digit of the square of 7625 is 5.
7. 68327:
- The unit digit is 7.
- The unit digit of [tex]\(7^2\)[/tex] is 49, so the unit digit is 9.
- Therefore, the unit digit of the square of 68327 is 9.
8. 95628:
- The unit digit is 8.
- The unit digit of [tex]\(8^2\)[/tex] is 64, so the unit digit is 4.
- Therefore, the unit digit of the square of 95628 is 4.
9. 99880:
- The unit digit is 0.
- The unit digit of [tex]\(0^2\)[/tex] is 0.
- Therefore, the unit digit of the square of 99880 is 0.
10. 12796:
- The unit digit is 6.
- The unit digit of [tex]\(6^2\)[/tex] is 36, so the unit digit is 6.
- Therefore, the unit digit of the square of 12796 is 6.
In summary, the unit digits of the squares of the given numbers are:
1. 951 - 1
2. 502 - 4
3. 329 - 1
4. 7643 - 9
5. 5124 - 6
6. 7625 - 5
7. 68327 - 9
8. 95628 - 4
9. 99880 - 0
10. 12796 - 6
