The number of music CDs sold in 1993 by one company was approximately [tex]2.3 \times 10^6[/tex]. The number of music CDs sold by the same company in 2001 was approximately [tex]7.9 \times 10^7[/tex]. What is the difference in CDs sold between 1993 and 2001?

A. [tex]76,700,000[/tex]
B. [tex]15,100,000[/tex]
C. [tex]7,670,000[/tex]
D. [tex]1,510,000[/tex]



Answer :

To find the difference in the number of music CDs sold between 1993 and 2001, follow these steps:

1. Identify the number of CDs sold in 1993 and 2001:
- CDs sold in 1993: [tex]\( 2.3 \times 10^6 \)[/tex]
- CDs sold in 2001: [tex]\( 7.9 \times 10^7 \)[/tex]

2. Convert these numbers to standard form for easier calculation:
- [tex]\( 2.3 \times 10^6 \)[/tex] in standard form is 2,300,000.
- [tex]\( 7.9 \times 10^7 \)[/tex] in standard form is 79,000,000.

3. Subtract the number of CDs sold in 1993 from the number of CDs sold in 2001 to find the difference:
[tex]\[ 79,000,000 - 2,300,000 \][/tex]

4. Perform the subtraction:
[tex]\[ 79,000,000 - 2,300,000 = 76,700,000 \][/tex]

Therefore, the difference in the number of CDs sold between 1993 and 2001 is [tex]\( 76,700,000 \)[/tex].

5. Match this result to the given options:
[tex]\[ \boxed{76,700,000} \][/tex]

So, the correct answer is (A) 76,700,000.