Ncert solutions

Ncert solutions

Grade 8

Squares and Square Roots | Exercise 6.1

Question 1

Q1) What will be the unit digit of the squares of the following numbers:

(i) 81

(ii) 272

(iii) 799

(iv) 3853

(v) 1234

(vi) 26387

(vii) 52698

(viii) 99880

(ix) 12796

(x) 55555

Solution:

(i) The number 81 contains its unit’s place digit 1. So, the square of 1 is 1. Hence, the unit’s digit of square of 81 is 1.

(ii) The number 272 contains its unit’s place digit 2. So, the square of 2 is 4. Hence, the unit’s digit of square of 272 is 4.

(iii) The number 799 contains its unit’s place digit 9. So, the square of 9 is 81. Hence, the unit’s digit of square of 799 is 1.

(iv) The number 3853 contains its unit’s place digit 3. So, the square of 3 is 9. Hence, the unit’s digit of the square of 3853 is 9.

(v) The number 1234 contains its unit’s place digit 4. So, the square of 4 is 16. Hence, the unit’s digit of square of 1234 is 6.

(vi) The number 26387 contains its unit’s place digit 7. So, the square of 7 is 49. Hence, the unit’s digit of the square of 26387 is 9.

(vii) The number 52698 contains its unit’s place digit 8. So, the square of 8 is 64. Hence, the unit’s digit of the square of 52698 is 4.

(viii) The number 99880 contains its unit’s place digit 0. So, the square of 0 is 0. Hence, the unit’s digit of square of 99880 is 0.

(ix) The number 12796 contains its unit’s place digit 6. So, the square of 6 is 36. Hence, the unit’s digit of square of 12796 is 6.

(x) The number 55555 contains its unit’s place digit 5. So, the square of 5 is 25. Hence, the unit’s digit of square of 55555 is 5.

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subject-cta

Question 1

Q1) What will be the unit digit of the squares of the following numbers:

(i) 81

(ii) 272

(iii) 799

(iv) 3853

(v) 1234

(vi) 26387

(vii) 52698

(viii) 99880

(ix) 12796

(x) 55555

Solution:

(i) The number 81 contains its unit’s place digit 1. So, the square of 1 is 1. Hence, the unit’s digit of square of 81 is 1.

(ii) The number 272 contains its unit’s place digit 2. So, the square of 2 is 4. Hence, the unit’s digit of square of 272 is 4.

(iii) The number 799 contains its unit’s place digit 9. So, the square of 9 is 81. Hence, the unit’s digit of square of 799 is 1.

(iv) The number 3853 contains its unit’s place digit 3. So, the square of 3 is 9. Hence, the unit’s digit of the square of 3853 is 9.

(v) The number 1234 contains its unit’s place digit 4. So, the square of 4 is 16. Hence, the unit’s digit of square of 1234 is 6.

(vi) The number 26387 contains its unit’s place digit 7. So, the square of 7 is 49. Hence, the unit’s digit of the square of 26387 is 9.

(vii) The number 52698 contains its unit’s place digit 8. So, the square of 8 is 64. Hence, the unit’s digit of the square of 52698 is 4.

(viii) The number 99880 contains its unit’s place digit 0. So, the square of 0 is 0. Hence, the unit’s digit of square of 99880 is 0.

(ix) The number 12796 contains its unit’s place digit 6. So, the square of 6 is 36. Hence, the unit’s digit of square of 12796 is 6.

(x) The number 55555 contains its unit’s place digit 5. So, the square of 5 is 25. Hence, the unit’s digit of square of 55555 is 5.

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