Question

scientific notation
a) a human red blood cell is about 0.000008 meters in diameter. write that in scientific notation
b) write the number 9,480,000 in scientific notation.
c) write the number 7.05×10⁻⁴ in standard notation.

Explanation:

Step1: Recall scientific - notation rule for small numbers

For a number $a\times10^{n}$, when the original number is less than 1, $n$ is negative and $1\leqslant|a|\lt10$. For $0.000008$, move the decimal point 6 places to the right to get $a = 8$.
$0.000008=8\times10^{-6}$

Step2: Recall scientific - notation rule for large numbers

For a number greater than 1, $n$ is positive. For $9480000$, move the decimal point 6 places to the left to get $a = 9.48$.
$9480000 = 9.48\times10^{6}$

Step3: Recall standard - notation rule for scientific notation with negative exponent

For $7.05\times10^{-4}$, move the decimal point 4 places to the left.
$7.05\times10^{-4}=0.000705$

Answer:

a) $8\times10^{-6}$
b) $9.48\times10^{6}$
c) $0.000705$