Question

Match each decimal number to the correct scientific notation. 30,700 0.000307 0.00000307 3,070,000 3.07 × 10-6 arrowRight 3.07 × 106 arrowRight 3.07 × 10-4 arrowRight 3.07 × 104 arrowRight

Answer 1

Answer:

3.07 × 10^4=30,700

3.07 × 10^-4=0.000307

3.07 × 10^-6=0.00000307

3.07 × 10^6=3,070,000

Explanation:

Answer 2

Answer:

1. 30,700 = $3.07\times 10^4$
2. 0.000307 =$3.07\times 10^{-4}$
3. 0.00000307 = $3.07\times 10^{-6}$
4. 3,070,000 = $3.07\times 10^6$

Explanation:

Scientific notation: It is the representation of expressing the numbers which are too big or too small by representing them in decimal form with one digit before the decimal point times 10 raise to the power.

For example : 6,000,000 is written as $6.0\times 10^6$

1. 30,700 = $\frac{10^4}{10^4}30,700=3.07\times 10^4$
2. 0.000307 =$\frac{000307}{10^6}= 3.07\times 10^{-4}$
3. 0.00000307 = $\frac{00000307}{10^8}= 3.07\times 10^{-6}$
4. 3,070,000 = $\frac{10^6}{10^6 }\times 3,070,000=3.07\times 10^6$