हिंदी

What Will Be the Units Digit of the Square of the Following Number? 52698

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प्रश्न

What will be the units digit of the square of the following number?  

52698 

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उत्तर

The units digit is affected only by the last digit of the number. Hence,  we only need to examine the square of its last digit.

 Its last digit is 8. Hence, the units digit is the last digit of 64 (64 = 82), which is 4

 

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अध्याय 1: A Squares - Exercise 3.2 [पृष्ठ १९]

APPEARS IN

आर.डी. शर्मा Mathematics Volume 1 and 2 [English] Class 8
अध्याय 1 A Squares
Exercise 3.2 | Q 4.5 | पृष्ठ १९

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संबंधित प्रश्न

Write a Pythagorean triplet whose one member is 6.


From the pattern, we can say that the sum of the first n positive odd numbers is equal to the square of the n-th positive number. Putting that into formula:
1 + 3 + 5 + 7 + ...  n =  n2, where the left hand side consists of n terms. 


Observe the following pattern
22 − 12 = 2 + 1
32 − 22 = 3 + 2
42 − 32 = 4 + 3
52 − 42 = 5 + 4
and find the value of 

 1112 − 1092


Observe the following pattern \[1 = \frac{1}{2}\left\{ 1 \times \left( 1 + 1 \right) \right\}\]
\[ 1 + 2 = \frac{1}{2}\left\{ 2 \times \left( 2 + 1 \right) \right\}\]
\[ 1 + 2 + 3 = \frac{1}{2}\left\{ 3 \times \left( 3 + 1 \right) \right\}\]
\[1 + 2 + 3 + 4 = \frac{1}{2}\left\{ 4 \times \left( 4 + 1 \right) \right\}\] 

and find the values of  following: 

1 + 2 + 3 + 4 + 5 + ... + 50


Observe the following pattern \[1 = \frac{1}{2}\left\{ 1 \times \left( 1 + 1 \right) \right\}\]
\[ 1 + 2 = \frac{1}{2}\left\{ 2 \times \left( 2 + 1 \right) \right\}\]
\[ 1 + 2 + 3 = \frac{1}{2}\left\{ 3 \times \left( 3 + 1 \right) \right\}\]
\[1 + 2 + 3 + 4 = \frac{1}{2}\left\{ 4 \times \left( 4 + 1 \right) \right\}\]and find the values of following:

31 + 32 + ... + 50


Observe the following pattern \[1^2 = \frac{1}{6}\left[ 1 \times \left( 1 + 1 \right) \times \left( 2 \times 1 + 1 \right) \right]\]
\[ 1^2 + 2^2 = \frac{1}{6}\left[ 2 \times \left( 2 + 1 \right) \times \left( 2 \times 2 + 1 \right) \right]\]
\[ 1^2 + 2^2 + 3^2 = \frac{1}{6}\left[ 3 \times \left( 3 + 1 \right) \times \left( 2 \times 3 + 1 \right) \right]\]
\[ 1^2 + 2^2 + 3^2 + 4^2 = \frac{1}{6}\left[ 4 \times \left( 4 + 1 \right) \times \left( 2 \times 4 + 1 \right) \right]\] and find the values :  

52 + 62 + 72 + 82 + 92 + 102 + 112 + 122

 

 


Which of the following number is squares of even number ?

256


Find the squares of the following numbers using diagonal method: 

 273


Find the squares of the following numbers using diagonal method: 

295


Find the square of the following number: 

127 


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