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How many natural numbers lie between 9² and 10²? Between 11² and 12²?
Verified Answer
How many natural numbers lie between 9² and 10²? Between 11² and 12²?
We know that,
(9)2 = 9*9 = 81
(10)2 = 10*10 = 100
Total natural`number between square of 9 and square of 10 -
Starting from 82 and up to 99. As 81 and 100 both will not be included in these natural numbers. The natural numbers are -
82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98 and 99
Therefore,between (9)2 and (10)2 , there are total 18 natural numbers.
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How many natural numbers lie between 9² and 10²? Between 11² and 12²?
Number of Natural Numbers between 9² and 10²:
To determine the number of natural numbers between 9² and 10², we need to find the count of integers from 10² - 1 to 9² + 1.
Step 1: Find the values of 10² - 1 and 9² + 1.
10² - 1 = 100 - 1 = 99
9² + 1 = 81 + 1 = 82
Therefore, we need to count the natural numbers between 99 and 82.
Step 2: Determine the count of natural numbers between 99 and 82.
To find the count, we subtract the lower value from the higher value and add 1.
Count = 99 - 82 + 1 = 18 + 1 = 19
Therefore, there are 19 natural numbers between 9² and 10².
Number of Natural Numbers between 11² and 12²:
Similarly, we can find the count of natural numbers between 11² and 12².
Step 1: Find the values of 12² - 1 and 11² + 1.
12² - 1 = 144 - 1 = 143
11² + 1 = 121 + 1 = 122
Therefore, we need to count the natural numbers between 143 and 122.
Step 2: Determine the count of natural numbers between 143 and 122.
Count = 143 - 122 + 1 = 21 + 1 = 22
Therefore, there are 22 natural numbers between 11² and 12².
Summary:
- Between 9² and 10², there are 19 natural numbers.
- Between 11² and 12², there are 22 natural numbers.
To determine the number of natural numbers between 9² and 10², we need to find the count of integers from 10² - 1 to 9² + 1.
Step 1: Find the values of 10² - 1 and 9² + 1.
10² - 1 = 100 - 1 = 99
9² + 1 = 81 + 1 = 82
Therefore, we need to count the natural numbers between 99 and 82.
Step 2: Determine the count of natural numbers between 99 and 82.
To find the count, we subtract the lower value from the higher value and add 1.
Count = 99 - 82 + 1 = 18 + 1 = 19
Therefore, there are 19 natural numbers between 9² and 10².
Number of Natural Numbers between 11² and 12²:
Similarly, we can find the count of natural numbers between 11² and 12².
Step 1: Find the values of 12² - 1 and 11² + 1.
12² - 1 = 144 - 1 = 143
11² + 1 = 121 + 1 = 122
Therefore, we need to count the natural numbers between 143 and 122.
Step 2: Determine the count of natural numbers between 143 and 122.
Count = 143 - 122 + 1 = 21 + 1 = 22
Therefore, there are 22 natural numbers between 11² and 12².
Summary:
- Between 9² and 10², there are 19 natural numbers.
- Between 11² and 12², there are 22 natural numbers.
Community Answer
How many natural numbers lie between 9² and 10²? Between 11² and 12²?
18
22
22
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How many natural numbers lie between 9² and 10²? Between 11² and 12²?
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How many natural numbers lie between 9² and 10²? Between 11² and 12²? for Class 8 2024 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about How many natural numbers lie between 9² and 10²? Between 11² and 12²? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for How many natural numbers lie between 9² and 10²? Between 11² and 12²?.
How many natural numbers lie between 9² and 10²? Between 11² and 12²? for Class 8 2024 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about How many natural numbers lie between 9² and 10²? Between 11² and 12²? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for How many natural numbers lie between 9² and 10²? Between 11² and 12²?.
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