To convert the expression [tex]\(6.5 \times 10^{-7}\)[/tex] to its decimal form, follow these steps:
1. Understand the Exponent:
- The exponent [tex]\(-7\)[/tex] indicates that we need to move the decimal point 7 places to the left, because we are dealing with a negative power of 10.
2. Original Number:
- Start with the number 6.5.
3. Move the Decimal:
- The number 6.5 has a decimal point immediately after the 6.
- Moving the decimal point 7 places to the left involves inserting zeros.
```
6.5 equivalent to 6.5000000 (adding zeros for clarity)
```
4. Insert Zeros as Needed:
- Move the decimal point 7 places to the left:
```
6.5000000
6.5000000
0.00000065
```
So, we insert six zeros before the 65 and place the new decimal point there.
Therefore, the decimal form of [tex]\(6.5 \times 10^{-7}\)[/tex] is:
[tex]\[
0.00000065
\][/tex]
To verify:
The result is [tex]\(6.499999999999999 \times 10^{-7}\)[/tex], which is [tex]\(0.00000065\)[/tex]. Therefore, this confirms our conversion is accurate. The final answer is:
[tex]\[
0.00000065
\][/tex]
