Answer:
1. 76.69 • 10^12
2. 0.69 • 10^5
Step-by-step explanation:
Scientific notation is used by scientists and mathematicians when numbers are too small or large to be written out in full.
Correct Scientific Notation
When writing a number in scientific notation, there are 2 steps. First, move the decimal point in the number so that there is exactly one natural number before the decimal.
- Natural numbers are positive integers, not including zero.
This means that the number must be between 1 and 10 to be in scientific notation.
Next, multiply the new decimal by 10 raised to some power. The power should be equivalent to the number of times the decimal point was moved. If the decimal point was moved to the left (the original number was large), then the power should be positive. If the decimal was moved the to right (the original number was small), then the power should be negative.
Incorrect Scientific Notation
If the steps above are not done correctly, the answer will not be in scientific notation. For this question, only the first step is important. Answer choice 1 has 2 natural numbers before the decimal point, so it is incorrect.
Answer choice 2 has no natural numbers before the decimal point so it is also incorrect.
Neither answer choice is between 1 and 10.
Examples
We can look at 2 examples of correct scientific notation.
- Take the number: 0.00000025
First, move the decimal 7 places to the right.
Now, multiply it by 10 to the 7th power because the decimal was moved 7 times. Also, 7 should be negative because the decimal was moved to the right.
Additionally, we look at an example with a larger number
- We can also use the number: 74000000.0
Once again, move the decimal point 7 places to the left
Finally, multiply it by 10 to the 7th power, but it should be positive this time.