Final answer:
To find 1.012 divided by 0.22, multiply both numbers by 100 and divide 101.2 by 22 to get 4.6, accounting for significant figures and rounding to two decimal places to conform to the original numbers' precision.
Step-by-step explanation:
To calculate what 1.012 divided by 0.22 equals, you can follow a simple division process. However, before performing the division, it may help to adjust the numbers by multiplying both the numerator (1.012) and the denominator (0.22) by a power of 10 that will make the denominator a whole number. In this case, multiplying both by 100 transforms the division into 101.2 divided by 22.
Dividing 101.2 by 22, you can use long division or a calculator. Using long division, you place 101.2 inside the division bar and 22 outside. Through the division process, you will find that the quotient is approximately 4.6 when rounded to one decimal place.
Significant figures and rounding matter in division.
When using a calculator, it will give a precise answer with many decimal places. However, based on significant figures, you must round your answer accordingly. If we consider significant figures (with 1.012 having four and 0.22 having two), the result should be rounded to two decimal places, with the final answer being approximately 4.60.