There are 29 odd numbers before 60.
To understand this, consider the range of numbers from 1 to 59 (since we want the numbers before 60). Odd numbers are integers that are not divisible by 2. They end in 1, 3, 5, 7, or 9.
Here's a breakdown:
- The first odd number is 1.
- The last odd number before 60 is 59.
You can find the number of odd numbers by using the following logic: Approximately half the numbers in any given range of integers will be odd, and half will be even. Therefore, up to the number 60, there will be 30 even numbers and 30 odd numbers. Since we are asking for the number of odd numbers before 60, this number is 59 and we have to subtract 1 odd number, 60, so we have 30 odd number before 60. However, since 60 is even, we have to subtract one more odd number to get the final answer, which is 29.
We can also solve this mathematically.
The nth odd number can be represented as 2n-1.
So, 2n -1 < 60
2n < 61
n < 30.57
Therefore, the number of odd number before 60 is 30.
However, the question asks for odd numbers before 60. To find the total number of odd numbers before 60, one can divide 59 by 2 (i.e. 59/2 = 29.5), but that doesn't give a valid result since one cannot have half of an odd number. Thus the answer would be 29.
