There are exactly 43 numbers between 200 and 500 that are divisible by 7.
According to the reference provided, "43 whole numbers, each divisible by 7, lie between 200 and 500." This means that if we were to list all the numbers within that range which can be divided by 7 without leaving a remainder, we would find a total of 43 such numbers.
To understand how this number is derived, we can think about the problem logically:
- The first multiple of 7 greater than 200 is 203 (7 x 29).
- The last multiple of 7 less than 500 is 497 (7 x 71).
- To find the total number of multiples, we can use a simple calculation. We subtract the multiplier of the first multiple from the multiplier of the last multiple and add 1. Thus 71-29+1=43.
Let's also put this information in a more structured format:
| First Multiple of 7 Greater Than 200 | Last Multiple of 7 Less Than 500 | Number of Multiples |
|---|---|---|
| 203 (7 x 29) | 497 (7 x 71) | 43 |
Therefore, without listing all the numbers individually, we know that there are 43 numbers between 200 and 500 that are perfectly divisible by 7.
