Answer: Â C
Step-by-step explanation:
Convert each option into scientific notation (Only one digit between 1 and 9 before the decimal point). Â If you move the decimal place to the left, move the exponent that many units to the right. Â If you move the decimal place to the right, move the exponent that many units to the left.
[tex]A)\quad 0.176\times 10^{18}\quad =1.76\times 10^{17}\\\text{moved the decimal 1 place to the right and the exponent 1 place to the left}\\\\B)\quad 22.13\times 10^{16}\quad =2.213\times 10^{17}\\\text{moved the decimal 1 place to the left and the exponent 1 place to the right}\\\\C)\quad 31.42\times 10^{16}\quad =3.142\times 10^{17}\\\text{moved the decimal 1 place to the left and the exponent 1 place to the right}[/tex]
[tex]D)\quad 125.5\times 10^{15}\quad =1.255\times 10^{17}\\\text{moved the decimal 2 places to the left and the exponent 2 places to the right}[/tex]
Since they are all (Ă 10Âčâ·), we can compare the digits:
1.76 Â Â Â 2.213 Â Â Â 3.142 Â Â Â 1.255
The largest one is 3.142 so C is the answer.
