High School

Convert the following number into standard notation: [tex]$17.22 \times 10^6$[/tex]

A. 172,200
B. 1,722,000
C. 17,220,000
D. 172,200,000

Answer :

To convert the number [tex]\(17.22 \times 10^6\)[/tex] into standard notation, follow these steps:

1. Identify the components:
- The number 17.22 is the base.
- [tex]\(10^6\)[/tex] is the power of ten.

2. Understand what [tex]\(10^6\)[/tex] means:
- The exponent 6 means you need to multiply 17.22 by 1,000,000 (which is a 1 followed by six zeros).

3. Perform the multiplication:
- Multiply 17.22 by 1,000,000 to shift the decimal point 6 places to the right.

4. Calculate the result:
- Start with 17.22:
- Move the decimal 6 places right: 1 move turns 17.22 into 172.2, 2 moves into 1,722, and keep going until you move it 6 times.
- By doing so, you reach 17,220,000.

Therefore, the number [tex]\(17.22 \times 10^6\)[/tex] in standard notation is 17,220,000.