Can no one help me? I posted a question earlier I don't need answer I need to understand what I did wrong my thinking is that if I have a 2:1 ratio And my total is 99 that if I divide by 3 then I can get the amounts 33x2 is 66, then 33x1 is 33 so it would be 66:33. I used this same thinking to 2.6 x 10 to 21 power to get 8.6666666666 to 21 power. My science teacher says it's 1.3 x 10 to 21 power. I am so frustrated by this please please someone help me to understand what I'm doing wrong:(

the ratio of

2.6x10^21 : 1.3x10^21 = 2 : 1

The total of the two components would be

3.9x10^21

So if the question was:
" split the number 3.9x10^21 into two parts in the ratio of 2:1, yes, you would divide the 3.9x10^21 by 3 to get 1.3x10^21 , then proceed like you did for your example of 99

I'm here to help you understand what went wrong with your calculations. Let's break down both scenarios you mentioned.

First, the 2:1 ratio situation. You correctly identified that the total is 99 and want to find the two values in a 2:1 ratio. To divide 99 into a 2:1 ratio, you need to determine the ratio's total parts, which are 2 + 1 = 3. Then, divide 99 by 3 to find one part: 99 / 3 = 33. Now, to obtain the values in the 2:1 ratio, you multiply 33 by 2 to get: 33 * 2 = 66, and multiply 33 by 1 to get: 33 * 1 = 33. Thus, the correct ratio is 66:33, not 66:33 as you mentioned.

Now, let's look at the second scenario involving scientific notation. You mentioned multiplying 2.6 by 10 to the power of 21 to obtain 8.6666666666 to the power of 21. However, the correct way to do this is to consider the exponent. When you multiply a number in scientific notation, you need to multiply the decimal part (2.6) and add the exponents (21). Mathematically, it would be: 2.6 * 10^21 = 26 * 10^20. In this case, the result should be 26 times 10 to the power of 21, not 8.6666666666.

Regarding the value your science teacher provided, 1.3 x 10 to the power of 21, it seems to be unrelated to the calculations you mentioned earlier. There might be a misunderstanding or mistake in communication. It would be best to clarify with your teacher about the specific context and calculation involved in the given value.

Remember, double-checking your work and seeking clarification from your teacher or peers is crucial to understanding and resolving any misunderstandings.