The question "How many numbers are divisible by 5 from?" is incomplete. To provide a meaningful answer, we need to know the range of numbers we are considering. Therefore, I will answer the question in a few different ways based on possible interpretations of the incomplete query.
Interpretation 1: Divisibility Rule for 5
If we are simply interested in understanding which numbers are divisible by 5, the provided reference clarifies that a number is divisible by 5 if its last digit is either 0 or 5.
- Examples of numbers divisible by 5:
- 5
- 10
- 15
- 20
- 125
- 1000
Interpretation 2: How Many Multiples of 5 exist within a Range
Let's assume the question intends to ask how to find the quantity of numbers divisible by 5 within a given range. Here's how we approach that:
- Define the range: We need both the starting number and ending number. For example, how many numbers are divisible by 5 between 1 and 100?
- Find the first multiple: Identify the smallest multiple of 5 within the specified range.
- Find the last multiple: Identify the largest multiple of 5 within the specified range.
- Calculate the quantity: Use the following formula:
(Last Multiple - First Multiple) / 5 + 1
Example: How many numbers are divisible by 5 between 1 and 100?
- First Multiple: 5
- Last Multiple: 100
- Calculation: (100 - 5) / 5 + 1 = 95 / 5 + 1 = 19 + 1 = 20
- There are 20 numbers divisible by 5 between 1 and 100.
Interpretation 3: How Many multiples of 5 exist in a specific sequence?
Let's consider the case when the question is referencing a sequence with a definite number of terms:
Example: Given a sequence of numbers from 1 to 50, how many numbers are divisible by 5?
- Find the first multiple of 5 in the sequence. In this case, it is 5.
- Find the last multiple of 5 in the sequence. In this case, it is 50.
- Divide the last multiple by 5. 50/5 = 10. This indicates that there are 10 numbers divisible by 5 within this sequence.
General Approach
- Identify the sequence: Understand the start, end and the pattern if any.
- Apply divisibility rule: Use the rule of 5 to find multiples.
- Calculate the quantity: Either count or use the calculation mentioned above as applicable.
Summary
The divisibility rule for 5 is that the number ends in 0 or 5. The number of multiples of 5 within a specific range can be calculated using the formula: (Last Multiple - First Multiple) / 5 + 1. However, based on different interpretations, the actual answer varies based on the question’s specifications.
