मराठी

What Will Be the Units Digit of the Square of the Following Number? 99880

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प्रश्न

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

 99880 

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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 0. Hence, the units digit is 02, which is equal to 0.

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पाठ 3: Squares and Square Roots - Exercise 3.2 [पृष्ठ १९]

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आर.डी. शर्मा Mathematics [English] Class 8
पाठ 3 Squares and Square Roots
Exercise 3.2 | Q 4.6 | पृष्ठ १९

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संबंधित प्रश्‍न

Find the square of the given number.

46


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

977 


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

52698 


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

 

 


Find the square of the following number: 

745 


Write a Pythagorean triplet whose smallest member is 8.

Find the length of the side of a square if the length of its diagonal is 10 cm.


Rahul walks 12 m north from his house and turns west to walk 35 m to reach his friend’s house. While returning, he walks diagonally from his friend’s house to reach back to his house. What distance did he walk while returning?


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