Fill the table given below S. No. Numbers Perfect Square / Not Perfect Square (i) 1067 Not perfect square (ii) 2063 (iii) 1668 (iv) 2242 (v) 23104 (vi) 32400

The squares of numbers from 1 to 10 are, 1 2 = 1 , 2 2 = 4 , 3 2 = 9 , 4 2 = 16 , 5 2 = 25 , 6 2 = 36 , 7 2 = 49 , 8 2 = 64 , 9 2 = 81 , 10 2 = 100 Observing the square numbers in the above, we get, all these numbers end with 0 , 1 , 4 , 5 , 6 or 9 at units place. None of these numbers end with 2 , 3 , 7 or 8 at units place. The given numbers 1067 , 2063 , 1668 and 2242 end with 7 , 3 , 8 , 2 at the unit's place and 23104 and 32400 end with 4 , 0 at the unit's place. Hence, 1067 , 2063 , 1668 , 2242 are not perfect squares and 23104 , 32400 are perfect squares. S. No. Numbers Perfect Square / Not Perfect Square (i) 1067 Not perfect square (ii) 2063 Not perfect square (iii) 1668 Not perfect square (iv) 2242 Not perfect square (v) 23104 Perfect square (vi) 32400 Perfect square

Table I: Complete the following table by guessing the number at one's digit in the square of the following numbers. S. No. Number One's digit in the square of the number (i) 82 4 (ii) 123 (iii) 366 (iv) 729 Table II: Fill in the blanks to complete the following table. S. No. Square Ending digit of square of number Odd/Even (v) 196 6 Even (vi) 679 (vii) 1154

We know that the unit's digit of the square of a natural number is the unit digit of the square of the digit at unit's place of the given natural number. Therefore, (i) the unit's digit of 82 2 = the unit's digit of 2 2 is 4 . (ii) the unit's digit of 123 2 = the unit's digit of 3 2 is 9 . (iii) the unit's digit of 366 2 = the unit's digit of 6 2 = 36 is 6 . (iv) the unit's digit of 729 2 = the unit's digit of 9 2 = 81 is 1 . Therefore, the table is, S. No. Number One's digit in the square of the number (i) 82 4 (ii) 123 9 (iii) 366 6 (iv) 729 1 We know that square of an even number is even and square of an odd number is odd. (v) the unit's digit of 196 2 = the unit's digit of 6 2 = 36 is 6 and 196 is an even number so it's square also an even number. (vi) the unit's digit of 679 2 = the unit's digit of 9 = 81 2 is 1 and 679 is an odd number so it's square also an odd number. (vii) the unit's digit of 1154 2 = the unit's digit of 4 2 = 16 is 6 and 1154 is an even number so it's square also an even number. Hence, the table is, S. No. Square Ending digit of square of number Odd/Even (v) 196 6 Even (vi) 679 1 Odd (vii) 1154 6 Even

Find the square of the given numbers and fill the unit's digit in the following table. S. No. Number Unit's digit (i) 124 2 (ii) 79 2 (iii) 83 2 (iv) 160 2 (v) 207 2

We know that the unit's digit of the square of a natural number is the unit digit of the square of the digit at unit's place of the given natural number. For example, the unit's digit of 14 2 = the unit's digit of 4 2 = 16 is 6 . S. No. Number Unit's digit Square of the numbers (i) 124 2 6 124 × 124 = 15376 (ii) 79 2 1 79 × 79 = 6241 (iii) 83 2 9 83 × 83 = 6889 (iv) 160 2 0 160 × 160 = 25600 (v) 207 2 9 207 × 207 = 42849

Fill in the blanks with the number of zeroes in the square of the following numbers. S. No. Number Number of zeroes in the square (i) 20 Two (ii) 40 (iii) 100 (iv) 200 (v) 1000 (vi) 10000

We know that any number having zeros at the end, when squared, the number of zeros get doubled in the resulting number. Therefore, if a number having n zeros at the end, then its square will have 2 n zeros at the end. For example, 300 2 = 300 × 300 = 90000 S. No. Number Zeroes at the end of the number Number of zeroes in the square (i) 20 n = 1 Two 2 n = 2 × 1 = 2 (ii) 40 n = 1 Two 2 n = 2 × 1 = 2 (iii) 100 n = 2 Four 2 n = 2 × 2 = 4 (iv) 200 n = 2 Four 2 n = 2 × 2 = 4 (v) 1000 n = 3 Six 2 n = 2 × 3 = 6 (vi) 10000 n = 4 Eight 2 n = 2 × 4 = 8

Subject Experts Solutions for Chapter: Squares and Square Roots, Exercise 1: Worksheet 1

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Subject Experts Mathematics Solutions for Exercise - Subject Experts Solutions for Chapter: Squares and Square Roots, Exercise 1: Worksheet 1

Attempt the practice questions on Chapter 6: Squares and Square Roots, Exercise 1: Worksheet 1 with hints and solutions to strengthen your understanding. NCERT Practice Workbook Mathematics solutions are prepared by Experienced Embibe Experts.

Questions from Subject Experts Solutions for Chapter: Squares and Square Roots, Exercise 1: Worksheet 1 with Hints & Solutions

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8th CBSE

IMPORTANT

NCERT Practice Workbook Mathematics>Chapter 6 - Squares and Square Roots>Worksheet 1>Q 2

Fill the table given below

S. No.	Numbers	Perfect Square / Not Perfect Square
(i)	$1067$	Not perfect square
(ii)	$2063$
(iii)	$1668$
(iv)	$2242$
(v)	$23104$
(vi)	$32400$

MEDIUM

8th CBSE

IMPORTANT

NCERT Practice Workbook Mathematics>Chapter 6 - Squares and Square Roots>Worksheet 1>Q 3

Table I: Complete the following table by guessing the number at one's digit in the square of the following numbers.

S. No.	Number	One's digit in the square of the number
(i)	$82$	$4$
(ii)	$123$
(iii)	$366$
(iv)	$729$

Table II: Fill in the blanks to complete the following table.

S. No.	Square	Ending digit of square of number	Odd/Even
(v)	$196$	$6$	Even
(vi)	$679$
(vii)	$1154$

EASY

8th CBSE

IMPORTANT

NCERT Practice Workbook Mathematics>Chapter 6 - Squares and Square Roots>Worksheet 1>Q 4

Find the square of the given numbers and fill the unit's digit in the following table.

S. No.	Number	Unit's digit
(i)	$124^{2}$
(ii)	$79^{2}$
(iii)	$83^{2}$
(iv)	$160^{2}$
(v)	$207^{2}$

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8th CBSE

IMPORTANT

NCERT Practice Workbook Mathematics>Chapter 6 - Squares and Square Roots>Worksheet 1>Q 5

Fill in the blanks with the number of zeroes in the square of the following numbers.

S. No.	Number	Number of zeroes in the square
(i)	$20$	Two
(ii)	$40$
(iii)	$100$
(iv)	$200$
(v)	$1000$
(vi)	$10000$

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8th CBSE

IMPORTANT

NCERT Practice Workbook Mathematics>Chapter 6 - Squares and Square Roots>Worksheet 1>Q 6

The total number of natural numbers that lie between $900^{2}$ and $901^{2}$ is _____ .

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8th CBSE

IMPORTANT

NCERT Practice Workbook Mathematics>Chapter 6 - Squares and Square Roots>Worksheet 1>Q 7

Write the Pythagorean triplet for the value of $m = 2$ .

EASY

8th CBSE

IMPORTANT

NCERT Practice Workbook Mathematics>Chapter 6 - Squares and Square Roots>Worksheet 1>Q 7

Write the Pythagorean triplet for the value of $m = 4$ .

EASY

8th CBSE

IMPORTANT

NCERT Practice Workbook Mathematics>Chapter 6 - Squares and Square Roots>Worksheet 1>Q 7

Write the Pythagorean triplet for the value of $m = 40$ .

Subject Experts Solutions for Chapter: Squares and Square Roots, Exercise 1: Worksheet 1

Subject Experts Mathematics Solutions for Exercise - Subject Experts Solutions for Chapter: Squares and Square Roots, Exercise 1: Worksheet 1

Questions from Subject Experts Solutions for Chapter: Squares and Square Roots, Exercise 1: Worksheet 1 with Hints & Solutions

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