Question

which of the following is scientific notation for 4.8500
a. 4.85 x 10^0
b. 485.00 x 10^-2
c. 4.8500 x 10^0
d. 4.8500 x 10^1
which of the following is scientific notation for 78,000,000?
a. 0.78 x 10^8
b. 7.8 x 10^-5
c. 78 x 10^6
d. 7.8 x 10^7
all of the digits in front of the \x 10\ in scientific notation are significant. this means that scientific notation can be used to record the correct significant to the hundreds place. but it is difficult to do so in standard form. for example, the problem 270

Explanation:

Step1: Recall scientific - notation rules

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

Step2: Analyze 4.8500

For the number 4.8500, since $4.8500 = 4.8500\times10^{0}$ (because $10^{0}=1$ and $4.8500$ already satisfies $1\leq4.8500\lt10$), the scientific - notation is $4.8500\times10^{0}$.

Step3: Analyze 78000000

To write 78000000 in scientific notation, we move the decimal point 7 places to the left to get $a = 7.8$ and $n = 7$. So, $78000000=7.8\times10^{7}$.

Answer:

For 4.8500: c. 4.8500 x 10^0
For 78000000: d. 7.8 x 10^7