Final answer:
To determine how many times larger (1.143 x 10^1) is than (9 x 10^{-1}), first convert to standard form, yielding 11.43 and 0.9, respectively. Dividing these, 11.43 / 0.9 equals 12.7. So, (1.143 x 10^1) is 12.7 times larger than (9 x 10^{-1}).
Step-by-step explanation:
To find out how many times larger (1.143 x 10^1) is than (9 x 10^{-1}), we first must convert both numbers from scientific notation to standard form and then divide the larger number by the smaller number.
(1.143 x 10^1) equals 11.43 when converted to standard form because the decimal point is moved 1 place to the right.
On the other hand, (9 x 10^{-1}) equals 0.9 since the decimal is moved 1 place to the left.
Now, we divide 11.43 by 0.9 to get the factor by which the first number is larger than the second:
11.43 / 0.9 = 12.7
Therefore, (1.143 x 10^1) is 12.7 times larger than (9 x 10^{-1}).