Final answer:
To multiply 22.09 by 0.4536, multiply as whole numbers, count the decimal places, insert the decimal point accordingly, and round to the necessary number of significant figures. The final answer, rounded to four significant figures, is 10.010.
Step-by-step explanation:
To solve 22.09 x 0.4536, you can follow these steps:
- Perform the multiplication without considering the decimal points, as if you are multiplying two whole numbers (2209 and 4536).
- Count the total number of decimal places in both of the numbers you are multiplying. In 22.09, there are two decimal places, and in 0.4536, there are four, for a total of six decimal places.
- Once you have the product from step 1, place the decimal point in that number so that there are six digits after the decimal. This will give you the correctly placed decimal in your final answer.
- Finally, you should consider significant figures. The number with the least number of significant figures is 22.09 with four significant figures. Hence, the final result should be rounded to four significant figures.
If you do this calculation (either manually or with a calculator), you get 10.009784 as the unrounded product. After placing the decimal point correctly, and considering significant figures, you would round this to 10.010 as the final answer (since the digit after the third significant figure is 9 which rounds up).