this is my last question for the whole assigment and im soo glad!!!
(9465 + 45 - 9.9) 8.1 X 10^6
i got 76950.e6
it said it was half right and said check your number of sig figs
the 8.1 will limit the answer to two sig figures. The answer cannot be more precise than the least precise number.
oh so i have to round. so id be 7.7e6?
Nope. 77000e6 or 7.7e10
oh i understand thanks a bunch! youve helped me a lot!!
To solve the expression (9465 + 45 - 9.9) * 8.1 * 10^6 and determine the correct number of significant figures, follow these steps:
Step 1: Perform the addition and subtraction inside the parentheses.
9465 + 45 - 9.9 = 9495.1
Step 2: Multiply the result by 8.1.
9495.1 * 8.1 = 76954.51
Step 3: Finally, multiply the calculated value by 10^6.
76954.51 * 10^6 = 7.695451 * 10^7
Now let's address the issue of significant figures. Significant figures are the digits that carry meaningful information and reflect the precision of a number.
To determine the correct number of significant figures in this case, consider the following rules:
- Non-zero digits are always significant.
- Zeros between non-zero digits are significant.
- Leading zeros (zeros at the beginning of a number) are not significant.
- Trailing zeros (zeros at the end of a number) are only significant if there is a decimal point present.
In our calculated value, 7.695451 * 10^7, there are a total of 8 significant figures. This is because all the digits (7, 6, 9, 5, 4, 5, 1) are non-zero, and there is no decimal point present.
From the information you provided, it seems that you wrote the value as 76950.e6, which suggests that you rounded the value and omitted the decimal point. However, this notation does not accurately represent the number of significant figures.
The correct way to express the answer would be 7.695451 * 10^7, indicating a total of 8 significant figures.