Using subtraction,a frog makes three jumps to reach 1000.The first jump is a 1 digit number,the second is a multiple of 10 and the third is a multiple of 100.Each jump has the same initial digit.What could the subtraction be?

x + 10x + 100x = 1000

111x = 1000
x = 9

So by your "subtraction"

after first jump : 1000-9 = 991
after 2nd jump : 991-90 = 901
after 3rd jump : 901-900 = 1

looks like he didn't quite make it.

Let's first consider the third jump, which is a multiple of 100. Since each jump has the same initial digit, the third jump must start with a digit of 1 in order for it to be a multiple of 100.

Now, let's consider the second jump, which is a multiple of 10. It needs to have the same initial digit as the third jump, which is 1. Since it is a multiple of 10, the second jump must be 10 more than the third jump.

So, the second jump is 100 + 10 = 110.

Finally, let's consider the first jump, which is a 1 digit number. It needs to have the same initial digit as the second and third jumps, which is 1. Since it is a 1 digit number, it must be 1 less than the second jump.

Therefore, the first jump is 110 - 1 = 109.

To summarize, the three jumps are:
- First jump: 109
- Second jump: 110
- Third jump: 100

And the subtraction is:
1000 - 109 - 110 - 100 = 681.

To solve this problem, we need to find a subtraction problem that meets the given criteria.

Let's break down the information we have:

1. The frog makes three jumps to reach 1000.
2. The first jump is a 1-digit number.
3. The second jump is a multiple of 10.
4. The third jump is a multiple of 100.
5. Each jump has the same initial digit.

Based on this information, let's try to find the subtraction problem.

The first jump is a 1-digit number. This means it can range from 0 to 9.

The second jump is a multiple of 10. This means it can be any number that ends with a 0.

The third jump is a multiple of 100. This means it can be any number that ends with two 0's.

Since each jump has the same initial digit, let's assume the initial digit is "x".

Now, let's form the subtraction problem using these criteria:

x - (x0) - (x00) = 1000

Simplifying this equation, we get:

x - 10x - 100x = 1000

Combining like terms, we have:

-109x = 1000

To find the value of "x", we can divide both sides of the equation by -109:

x = 1000 / -109

Using a calculator or long division, we find that x ≈ -9.17.

Therefore, the subtraction problem that meets the given criteria is:

-9.17 - (-9.17 * 10) - (-9.17 * 100) = 1000