To find which numbers have 6 in the units place, we examine each number’s last digit. 382 ends in 2, 342 in 2, 462 in 6, 562 in 6, 742 in 2 and 822 in 2. So, only 462 and 562 end with 6. These are the two numbers from the given list that meet the condition mentioned in the question. For moreRead more
To find which numbers have 6 in the units place, we examine each number’s last digit. 382 ends in 2, 342 in 2, 462 in 6, 562 in 6, 742 in 2 and 822 in 2. So, only 462 and 562 end with 6. These are the two numbers from the given list that meet the condition mentioned in the question.
For more NCERT Solutions for Class 8 Mathematics Ganita Prakash Chapter 1 A Square and A Cube Extra Questions & Answer:
When a number has 3 trailing zeros, it means it is divisible by 10³. Squaring this number will give a result divisible by 10⁶ so the square will have 6 zeros at the end. This happens because squaring multiplies all factors by themselves, including 10s. Therefore, the number of zeros at the end of thRead more
When a number has 3 trailing zeros, it means it is divisible by 10³. Squaring this number will give a result divisible by 10⁶ so the square will have 6 zeros at the end. This happens because squaring multiplies all factors by themselves, including 10s. Therefore, the number of zeros at the end of the square becomes twice the number of zeros at the end of the original number.
For more NCERT Solutions for Class 8 Mathematics Ganita Prakash Chapter 1 A Square and A Cube Extra Questions & Answer:
We observe that squaring a number multiplies its factors, including trailing zeros, so the count of zeros at the end doubles. Thus, a number with 1 zero ends with 2 zeros when squared, 2 zeros become 4 and so on. This always happens and results in the square having an even number of zeros at the endRead more
We observe that squaring a number multiplies its factors, including trailing zeros, so the count of zeros at the end doubles. Thus, a number with 1 zero ends with 2 zeros when squared, 2 zeros become 4 and so on. This always happens and results in the square having an even number of zeros at the end. So yes, square numbers can only end with an even number of zeros.
For more NCERT Solutions for Class 8 Mathematics Ganita Prakash Chapter 1 A Square and A Cube Extra Questions & Answer:
Parity means whether a number is even or odd. If we square an even number (like 4), we get an even result (16). If we square an odd number (like 5), the result (25) is also odd. This shows that the square of any number maintains the same parity. Thus, the parity of a number and its square is alwaysRead more
Parity means whether a number is even or odd. If we square an even number (like 4), we get an even result (16). If we square an odd number (like 5), the result (25) is also odd. This shows that the square of any number maintains the same parity. Thus, the parity of a number and its square is always the same—both even or both odd.
For more NCERT Solutions for Class 8 Mathematics Ganita Prakash Chapter 1 A Square and A Cube Extra Questions & Answer:
The 36th odd number can be found using the formula for the nth odd number, which is 2n – 1. So, 2 × 36 = 72 and subtracting 1 gives 71. Thus, the 36th odd number is 71. This method is useful when calculating squares by summing consecutive odd numbers, like 1 + 3 + 5 + … + 71 to get the square of 36,Read more
The 36th odd number can be found using the formula for the nth odd number, which is 2n – 1. So, 2 × 36 = 72 and subtracting 1 gives 71. Thus, the 36th odd number is 71. This method is useful when calculating squares by summing consecutive odd numbers, like 1 + 3 + 5 + … + 71 to get the square of 36, which is 1296.
For more NCERT Solutions for Class 8 Mathematics Ganita Prakash Chapter 1 A Square and A Cube Extra Questions & Answer:
Which of the following numbers have the digit 6 in the units place? (i) 382 (ii) 342 (iii) 462 (iv) 562 (v) 742 (vi) 822
To find which numbers have 6 in the units place, we examine each number’s last digit. 382 ends in 2, 342 in 2, 462 in 6, 562 in 6, 742 in 2 and 822 in 2. So, only 462 and 562 end with 6. These are the two numbers from the given list that meet the condition mentioned in the question. For moreRead more
To find which numbers have 6 in the units place, we examine each number’s last digit. 382 ends in 2, 342 in 2, 462 in 6, 562 in 6, 742 in 2 and 822 in 2. So, only 462 and 562 end with 6. These are the two numbers from the given list that meet the condition mentioned in the question.
For more NCERT Solutions for Class 8 Mathematics Ganita Prakash Chapter 1 A Square and A Cube Extra Questions & Answer:
https://www.tiwariacademy.com/ncert-solutions/class-8/maths/ganita-prakash-chapter-1/
See lessIf a number contains 3 zeros at the end, how many zeros will its square have at the end?
When a number has 3 trailing zeros, it means it is divisible by 10³. Squaring this number will give a result divisible by 10⁶ so the square will have 6 zeros at the end. This happens because squaring multiplies all factors by themselves, including 10s. Therefore, the number of zeros at the end of thRead more
When a number has 3 trailing zeros, it means it is divisible by 10³. Squaring this number will give a result divisible by 10⁶ so the square will have 6 zeros at the end. This happens because squaring multiplies all factors by themselves, including 10s. Therefore, the number of zeros at the end of the square becomes twice the number of zeros at the end of the original number.
For more NCERT Solutions for Class 8 Mathematics Ganita Prakash Chapter 1 A Square and A Cube Extra Questions & Answer:
https://www.tiwariacademy.com/ncert-solutions/class-8/maths/ganita-prakash-chapter-1/
See lessWhat do you notice about the number of zeros at the end of a number and the number of zeros at the end of its square? Will this always happen? Can we say that squares can only have an even number of zeros at the end?
We observe that squaring a number multiplies its factors, including trailing zeros, so the count of zeros at the end doubles. Thus, a number with 1 zero ends with 2 zeros when squared, 2 zeros become 4 and so on. This always happens and results in the square having an even number of zeros at the endRead more
We observe that squaring a number multiplies its factors, including trailing zeros, so the count of zeros at the end doubles. Thus, a number with 1 zero ends with 2 zeros when squared, 2 zeros become 4 and so on. This always happens and results in the square having an even number of zeros at the end. So yes, square numbers can only end with an even number of zeros.
For more NCERT Solutions for Class 8 Mathematics Ganita Prakash Chapter 1 A Square and A Cube Extra Questions & Answer:
https://www.tiwariacademy.com/ncert-solutions/class-8/maths/ganita-prakash-chapter-1/
See lessWhat can you say about the parity of a number and its square?
Parity means whether a number is even or odd. If we square an even number (like 4), we get an even result (16). If we square an odd number (like 5), the result (25) is also odd. This shows that the square of any number maintains the same parity. Thus, the parity of a number and its square is alwaysRead more
Parity means whether a number is even or odd. If we square an even number (like 4), we get an even result (16). If we square an odd number (like 5), the result (25) is also odd. This shows that the square of any number maintains the same parity. Thus, the parity of a number and its square is always the same—both even or both odd.
For more NCERT Solutions for Class 8 Mathematics Ganita Prakash Chapter 1 A Square and A Cube Extra Questions & Answer:
https://www.tiwariacademy.com/ncert-solutions/class-8/maths/ganita-prakash-chapter-1/
See lessHow do we find the 36th odd number?
The 36th odd number can be found using the formula for the nth odd number, which is 2n – 1. So, 2 × 36 = 72 and subtracting 1 gives 71. Thus, the 36th odd number is 71. This method is useful when calculating squares by summing consecutive odd numbers, like 1 + 3 + 5 + … + 71 to get the square of 36,Read more
The 36th odd number can be found using the formula for the nth odd number, which is 2n – 1. So, 2 × 36 = 72 and subtracting 1 gives 71. Thus, the 36th odd number is 71. This method is useful when calculating squares by summing consecutive odd numbers, like 1 + 3 + 5 + … + 71 to get the square of 36, which is 1296.
For more NCERT Solutions for Class 8 Mathematics Ganita Prakash Chapter 1 A Square and A Cube Extra Questions & Answer:
https://www.tiwariacademy.com/ncert-solutions/class-8/maths/ganita-prakash-chapter-1/
See less