मराठी

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

APPEARS IN

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

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संबंधित प्रश्‍न

Find the square of the given number.

93


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

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

 53924


Observe the following pattern 

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

\[\left( 1 \times 2 \right) + \left( 2 \times 3 \right) + \left( 3 \times 4 \right) = \frac{3 \times 4 \times 5}{3}\] 

\[\left( 1 \times 2 \right) + \left( 2 \times 3 \right) + \left( 3 \times 4 \right) + \left( 4 \times 5 \right) = \frac{4 \times 5 \times 6}{3}\] 

and find the value of(1 × 2) + (2 × 3) + (3 × 4) + (4 × 5) + (5 × 6)


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 :  

12 + 22 + 32 + 4+ ... + 102

 

 


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