Question

1. challenge express each quantity in regular notation along with its appropriate unit. a. 3.60×10^5 s b. 5.4×10^(-5) g/cm³ c. 5.060×10^3 km d. 8.9×10^10 hz a. 700 b. 38,000 c. 4,500,000 d. 685,000,000,000 f. 0.00000687 h. 0.0000000000

Explanation:

Step1: Recall scientific - notation to regular - notation rule

For $a\times10^{n}$, if $n>0$, move the decimal point $n$ places to the right; if $n < 0$, move the decimal point $|n|$ places to the left.

Step2: Convert $3.60\times 10^{5}\ s$

Since $n = 5>0$, move the decimal point 5 places to the right. $3.60\times10^{5}=360000\ s$.

Step3: Convert $5.4\times 10^{-5}\ g/cm^{3}$

Since $n=- 5<0$, move the decimal point 5 places to the left. $5.4\times10^{-5}=0.000054\ g/cm^{3}$.

Step4: Convert $5.060\times 10^{3}\ km$

Since $n = 3>0$, move the decimal point 3 places to the right. $5.060\times10^{3}=5060\ km$.

Step5: Convert $8.9\times 10^{10}\ Hz$

Since $n = 10>0$, move the decimal point 10 places to the right. $8.9\times10^{10}=89000000000\ Hz$.

Answer:

a. $360000\ s$
b. $0.000054\ g/cm^{3}$
c. $5060\ km$
d. $89000000000\ Hz$