Question

Сколько натуральных чисел между чисоами 2a и 3a

Answer 1

То такое 3а? Если а - натуральное, то 3а = 3 (а = 1)
                                                                   3а = 6 ( а = 2)
                                                                    3а = 9 ( а = 3)
                                                                         ...
Что такое 2а? Если а - натуральное, то 2а = 2 (а = 1)
                                                                   2а = 4 ( а = 2)
                                                                   2а = 6 ( а = 3)
                                                                        ...
Теперь проверяем: 
1) а = 1 Числа 3 и 2.
 Между ними нет ни одного натурального числа.    (чисел 0)
2)а = 2 Числа 6 и 4.
 Между ними стоит число 5  (чисел 1)
3) а = 3 Числа 9 и 6.
 Между ними стоят числа 7 и 8 (чисел 2)
Ответ: Между числами 2а и 3а находится а -1 чисел.

Answer 2

Calculation of Natural Numbers between 2a and 3a

To calculate the number of natural numbers between 2a and 3a, we can use the following approach:

Step 1: Determine the range of values between 2a and 3a.

Step 2: Identify the natural numbers within this range.

Let's proceed with the calculation.

Step 1: Range of Values

The range of values between 2a and 3a can be expressed as the set of natural numbers from 2a to 3a.

Step 2: Natural Numbers within the Range

The natural numbers within this range can be calculated by finding the difference between 3a and 2a, and then subtracting 1 from the result. This is because the range includes both 2a and 3a, and we want to count the numbers between them, not including 2a and 3a themselves.

The formula to calculate the number of natural numbers between 2a and 3a is: Number of natural numbers = (3a - 2a) - 1

Let's calculate the number of natural numbers between 2a and 3a using this formula.

Calculation

The number of natural numbers between 2a and 3a is given by: Number of natural numbers = (3a - 2a) - 1

Now, let's substitute the values of a into the formula and calculate the result.

Substituting the values: a = 1 Number of natural numbers = (3*1 - 2*1) - 1 = 1

Therefore, when a = 1, there is 1 natural number between 2a and 3a.

Substituting the values: a = 2 Number of natural numbers = (3*2 - 2*2) - 1 = 3

Therefore, when a = 2, there are 3 natural numbers between 2a and 3a.

Substituting the values: a = 3 Number of natural numbers = (3*3 - 2*3) - 1 = 5

Therefore, when a = 3, there are 5 natural numbers between 2a and 3a.

In general, for any value of a, the number of natural numbers between 2a and 3a can be calculated using the formula: Number of natural numbers = (3a - 2a) - 1

This formula provides the count of natural numbers between 2a and 3a for any given value of a.