Final answer:
The question addresses multiplication of decimals and rounding the result to the nearest cent in Mathematics. To solve these, the multiplication is performed first, followed by rounding according to the least number of significant figures in the numbers being multiplied.
Step-by-step explanation:
The question involves the subject of Mathematics, focusing specifically on multiplication and rounding to the nearest cent. To solve these problems, we follow the steps of performing each multiplication and then apply the rules of rounding. When multiplying and dividing numbers, we must round our final answer to the number of significant figures that correspond with the initial number that has the fewest significant figures. Here are the solutions to the given problems:
- 456.44 * 4.55 = 2077.802 rounded to 2077.80.
- 556.55 * 6.05 = 3367.0775 rounded to 3367.08.
- 741.01 * 44.17 = 32726.9417 rounded to 32726.94.
- 174.11 * 4.07 = 708.6277 rounded to 708.63.
- 585.25 * 25.02 = 14638.1050 rounded to 14638.11.
Notice that even if the calculator gives many decimal places, we round the answer to the number of significant figures that the number with the least significant figures has, in this case two decimal places since we are dealing with currency.