Question

scientific notation - convert the given number into scientific notation and write the amount of significant figures in the number.

1. 0.000820
2. 97,000
3. 3,007
4. 0.01001

Explanation:

Step1: Recall scientific - notation rule

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

Step2: For 0.000820

Move the decimal point 4 places to the right to get $a = 8.20$ and $n=-4$. Significant figures are non - zero digits and zeros between non - zero digits. So, there are 3 significant figures.

Step3: For 97000

Move the decimal point 4 places to the left to get $a = 9.7$ and $n = 4$. There are 2 significant figures.

Step4: For 3007

Move the decimal point 3 places to the left to get $a=3.007$ and $n = 3$. There are 4 significant figures.

Step5: For 0.01001

Move the decimal point 2 places to the right to get $a = 1.001$ and $n=-2$. There are 4 significant figures.

Answer:

1. Scientific notation: $8.20\times 10^{-4}$, Significant figures: 3
2. Scientific notation: $9.7\times 10^{4}$, Significant figures: 2
3. Scientific notation: $3.007\times 10^{3}$, Significant figures: 4
4. Scientific notation: $1.001\times 10^{-2}$, Significant figures: 4