To convert the number [tex]\(3.29 \times 10^7\)[/tex] to standard form, we need to understand what the notation means. The expression [tex]\(3.29 \times 10^7\)[/tex] is written in scientific notation, where:
- [tex]\(3.29\)[/tex] is the coefficient (a number usually between 1 and 10),
- [tex]\(10^7\)[/tex] is the base of 10 raised to the power of 7.
The exponent 7 indicates that we need to move the decimal point 7 places to the right. Here’s how we do it step-by-step:
1. Start with the number 3.29.
2. Move the decimal point 7 places to the right.
Let's go through that step by step:
- The original number is 3.29.
- Moving the decimal one place to the right: 32.9
- Moving it another place: 329
- Moving it yet again: 3290
- Continuing to move it: 32900
- Moving again: 329000
- Another movement: 3290000
- One last move: 32900000
After moving the decimal point 7 places to the right, we obtain the number [tex]\(32,900,000\)[/tex]. Therefore, the number [tex]\(3.29 \times 10^7\)[/tex] written in standard form is [tex]$32,900,000$[/tex].
