scientific notation - convert the given number into scientific notation and write the amount of significant…

scientific notation - convert the given number into scientific notation and write the amount of significant figures in the number.\n7. 0.000820\n8. 97,000\n9. 3,007\n10. 0.01001

scientific notation - convert the given number into scientific notation and write the amount of significant figures in the number.\n7. 0.000820\n8. 97,000\n9. 3,007\n10. 0.01001

Answer

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: Convert 97000

Move the decimal point 4 places to the left. So, $97000 = 9.7\times10^{4}$. The number of significant figures is 2 (9 and 7).

Step3: Convert 3007

Move the decimal point 3 places to the left. So, $3007=3.007\times 10^{3}$. The number of significant figures is 4 (3, 0, 0, 7).

Step4: Convert 0.01001

Move the decimal point 2 places to the right. So, $0.01001 = 1.001\times10^{-2}$. The number of significant figures is 4 (1, 0, 0, 1).

Answer:

  1. Scientific notation: $9.7\times10^{4}$, Significant figures: 2
  2. Scientific notation: $3.007\times10^{3}$, Significant figures: 4
  3. Scientific notation: $1.001\times10^{-2}$, Significant figures: 4