SQUARES AND SQUARE ROOTS
1.What are square numbers or perfect squares? Give examples?
2.Find the perfect square numbers between (1) 30 and 40 ii) 50 and 60
3.List out all the perfect square numbers below 100.
4.What are the ending digits (digits in one's place) of the square numbers?
5.Which of the following 123², 77²,82²,161²,109² would end with digit '1' in its ones
place? What do you observe?
6.Which of the following numbers 19²,24²,26² would have digit 6 in unit's place? What
do you observe?
7.What will be the one's digit in the square of the following?
i) 1234
ii) 26387
iii) 52698
iv) 21222
v) 9106
8.If a number contains three zeros at the last then how many zeros will its square
have?
9.The squares of which of the following would be odd number?
i) 431
ii) 2826
iii) 7779
iv) 82004
Answers
1) In mathematics, a square number or perfect square is an integer that is the square of an integer; in other words, it is the product of some integer with itself. For example, 9 is a square number, since it can be written as 3 × 3.
A perfect cube is a number that is the cube of an integer. For example, 125 is a perfect cube since 125 = 5 × 5 × 5= 53. Some examples of perfect cubes are 1, 8, 27, 64, 125, 216, 343, ..
2) (i) perfect square between 30 and 40 is only 36
(ii) there is no perfect square between 50 and 60
3) perfect squares below 100 are 1,4,9,16,25,36,49,64,81
4) 1,4,9,6,5
5) 161 and 109
6) 24 and 26
7) 6, 9, 4, 4, 6
9)431 and 7779
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Answer:
1) In mathematics, a square number or perfect square is an integer that is the square of an integer; in other words, it is the product of some integer with itself. For example, 9 is a square number, since it can be written as 3 × 3.
A perfect cube is a number that is the cube of an integer. For example, 125 is a perfect cube since 125 = 5 × 5 × 5= 53. Some examples of perfect cubes are 1, 8, 27, 64, 125, 216, 343, ..
2) (i) perfect square between 30 and 40 is only 36
(ii) there is no perfect square between 50 and 60
3) perfect squares below 100 are 1,4,9,16,25,36,49,64,81
4) 1,4,9,6,5
5) 161 and 109
6) 24 and 26
7) 6, 9, 4, 4, 6
9)431 and 7779
Hope it helps u
Please mark it as brainleist
Step-by-step explanation: