Sure, let’s convert the number 0.0605 into standard form.
### Step-by-Step Solution
1. Identify the given number:
The number we need to convert is 0.0605.
2. Understand standard form:
Standard form (also known as scientific notation) typically expresses a number as [tex]\(a \times 10^n\)[/tex], where [tex]\(1 \leq a < 10\)[/tex] and [tex]\(n\)[/tex] is an integer.
3. Convert the number:
- Move the decimal point in 0.0605 to the right until you have a number between 1 and 10.
- To do this, 0.0605 becomes 6.05 as we move the decimal point two places to the right.
- Count the number of places the decimal point has moved. In this case, it moved 2 places to the right.
4. Determine the exponent:
- Since we moved the decimal point to the right, the exponent will be negative.
- Hence, the exponent is -2.
5. Write in standard form:
Combining the coefficient (6.05) and the exponent (-2), the standard form is:
[tex]\[
6.05 \times 10^{-2}
\][/tex]
### Final Answer
The number 0.0605 in standard form is [tex]\(6.05 \times 10^{-2}\)[/tex].
