Question

Suppose a piece of silver jewelry contains 5.13×10^22 atoms of silver (ag). How many dozens of silver atoms are in the piece of jewelry? Express your answer numerically in dozens.

Answer 1

To determine the number of dozens of silver atoms in the piece of jewelry, we need to convert the given number of atoms to dozens.

First, let's understand the relationship between atoms and dozens.

One dozen is equal to 12 items. Therefore, to find the number of dozens of silver atoms, we need to divide the total number of silver atoms by 12.

Given that the piece of jewelry contains 5.13×10^22 atoms of silver, we can calculate the number of dozens of silver atoms as follows:

5.13×10^22 atoms ÷ 12 atoms/dozen

To perform this calculation, we divide the numbers and subtract the exponents:

5.13×10^22 ÷ 12 = (5.13/12) × 10^22

Now, dividing 5.13 by 12, we get:

0.4275 × 10^22

Finally, we express the result in scientific notation:

4.275×10^21

Therefore, there are 4.275×10^21 dozens of silver atoms in the piece of jewelry.