This English question involves literary analysis, grammar, or writing skills. The detailed response below provides a well-structured answer with supporting evidence and clear explanations.
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Answer
(i) 2032, (ii) 2048, (iii) 1027
Here are the solutions to your questions:
1. Which of the following numbers are not perfect squares?
Step 1: A perfect square number can only end with the digits 0, 1, 4, 5, 6, or 9. Numbers ending with 2, 3, 7, or 8 cannot be perfect squares.
Step 2: Check the last digit of each given number: • (i) 2032 ends with 2. • (ii) 2048 ends with 8. • (iii) 1027 ends with 7. • (iv) 1089 ends with 9.
Step 3: Based on the rule, numbers ending in 2, 8, or 7 are not perfect squares. Thus, 2032, 2048, and 1027 are not perfect squares. The number 1089 ends in 9, which means it could be a perfect square. Indeed, .
Step 4: The numbers that are not perfect squares are 2032, 2048, and 1027.
2. Which one of has the last digit 4?
Step 1: To find the last digit of a square, we only need to square the last digit of the original number.
Step 2: Determine the last digit for the square of each number: • For : The last digit of 64 is 4. . The last digit of is 6. • For : The last digit of 108 is 8. . The last digit of is 4. • For : The last digit of 292 is 2. . The last digit of is 4. • For : The last digit of 36 is 6. . The last digit of is 6.
Step 3: The numbers whose squares have a last digit of 4 are and .
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1. Which of the following numbers are not perfect squares? Step 1: A perfect square number can only end with the digits 0, 1, 4, 5, 6, or 9.
This English question involves literary analysis, grammar, or writing skills. The detailed response below provides a well-structured answer with supporting evidence and clear explanations.