The number of music CDs sold in 2003 by one company was approximately [tex]$1.5 \times 10^5$[/tex]. The number of music CDs sold by the same company in 2013 was approximately [tex]$7.1 \times 10^7$[/tex]. What is the difference in CDs sold between 2003 and 2013?

A. [tex][tex]$7,900,000$[/tex][/tex]
B. [tex]$70,850,000$[/tex]
C. [tex]790,000$[/tex]
D. [tex]$69,500,000$[/tex]



Answer :

To find the difference in the number of music CDs sold between 2003 and 2013 by the company, follow these steps:

1. Identify the number of CDs sold in each year.

- In 2003, the number of music CDs sold was approximately [tex]\(1.5 \times 10^5\)[/tex].
- In 2013, the number of music CDs sold was approximately [tex]\(7.1 \times 10^7\)[/tex].

2. Convert the scientific notation to standard form for clarity:

- [tex]\(1.5 \times 10^5\)[/tex] is equal to 150,000.
- [tex]\(7.1 \times 10^7\)[/tex] is equal to 71,000,000.

3. Subtract the number of CDs sold in 2003 from the number of CDs sold in 2013:

[tex]\[ 71,000,000 - 150,000 = 70,850,000 \][/tex]

4. Thus, the difference in the number of music CDs sold between 2003 and 2013 is 70,850,000.

Therefore, the correct answer is:
B. [tex]$70,850,000$[/tex]