Question

perform the following calculation, and round your answer to the correct number of significant figures: 2.35 x 4.500
10.6
question 6
1 pts
what is 0.00980 in scientific notation?
98.0 x 10^4
98.0 x10^-4
9.8 x10^3
9.8 x 10^-3

Explanation:

Step1: Perform multiplication

$2.35\times4.500 = 10.575$

Step2: Determine significant - figures

2.35 has 3 significant figures and 4.500 has 4 significant figures. In multiplication, the result should have the same number of significant figures as the number with the fewest significant figures among the factors. So, we round 10.575 to 3 significant figures.

Step3: Round the result

Rounding 10.575 to 3 significant figures gives 10.6

Step1: Recall scientific - notation form

Scientific notation is of the form $a\times10^{n}$, where $1\leq|a|\lt10$ and $n$ is an integer.

Step2: Move the decimal point

For 0.00980, we move the decimal point 3 places to the right to get a number between 1 and 10. So, $a = 9.80$ and since we moved the decimal point 3 places to the right, $n=- 3$.

Step3: Write in scientific - notation

0.00980 in scientific notation is $9.80\times10^{-3}=9.8\times10^{-3}$ (we can drop the trailing 0 in 9.80 as it does not change the value in scientific - notation when considering significant figures for this context).

Answer:

10.6