How do I solve problems like the following?

There area approximately 5.58x10^21
(scientific notation) atoms in a gram of silver. How many atoms are there in 3 kilograms of silver? Express your answer in sicientific notation.

ANY hints/tips are EXTEMELY appreciated--thank you!

1) Figure out number of grams of silver

3 kilograms X 1000 g/kilogram= 3 X 10^3 grams

2) Figure out number of atoms in 3X10^3 grams of silver

3 X 10^3 grams X 5.58 X 10^21 atoms/gram

= 16.74 X 10^24 atoms or 1.674 X 10^25 atoms

To solve this problem, you need to apply the concept of conversion factors. A conversion factor is a ratio that expresses how two different units are related to each other.

In this case, you need to convert grams of silver to kilograms of silver. Since there are 1000 grams in a kilogram, the conversion factor is 1000 g/1 kg.

To determine the number of atoms in 3 kilograms of silver, follow these steps:

Step 1: Set up the conversion factor. Multiply the given value (5.58x10^21 atoms/g) by the conversion factor (1000 g/1 kg) to cancel out the grams and convert to kilograms.

5.58x10^21 atoms/g * 1000 g/1 kg = 5.58x10^24 atoms/kg

Step 2: Multiply the result by the given value (3 kg) to find the number of atoms in 3 kilograms of silver.

5.58x10^24 atoms/kg * 3 kg = 1.674x10^25 atoms

Therefore, there are approximately 1.674x10^25 atoms in 3 kilograms of silver.

Remember to express your answer in scientific notation as requested in the problem.