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Convert to decimal form: [tex]$6.5 \times 10^{-7}$[/tex].

Sagot :

GinnyAnswer
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]
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