Sure! Let's convert these numbers from scientific notation to standard notation step-by-step.
### Step-by-Step Solution:
#### 1. Convert [tex]\(3.05 \times 10^{-3}\)[/tex] to Standard Notation:
- The expression [tex]\(3.05 \times 10^{-3}\)[/tex] means that we need to move the decimal point in 3.05 three places to the left, since the exponent is [tex]\(-3\)[/tex]:
- Initially, the decimal point is after the digit 3.05 → 3.05
- Moving it one place to the left gives: 0.305
- Moving it a second place to the left gives: 0.0305
- Moving it a third place to the left gives: 0.00305
So, [tex]\(3.05 \times 10^{-3}\)[/tex] in standard notation is approximately [tex]\(0.00305\)[/tex].
#### 2. Convert [tex]\(8.92 \times 10^6\)[/tex] to Standard Notation:
- The expression [tex]\(8.92 \times 10^6\)[/tex] means that we need to move the decimal point in 8.92 six places to the right, since the exponent is [tex]\(6\)[/tex]:
- Initially, the decimal point is after the digit 8.92 → 8.92
- Moving it one place to the right gives: 89.2
- Moving it a second place to the right gives: 892
- Moving it a third place to the right gives: 8920
- Moving it a fourth place to the right gives: 89200
- Moving it a fifth place to the right gives: 892000
- Moving it a sixth place to the right gives: 8920000
So, [tex]\(8.92 \times 10^6\)[/tex] in standard notation is approximately [tex]\(8920000.0\)[/tex].
### Final Result:
- [tex]\(3.05 \times 10^{-3}\)[/tex] in standard notation is [tex]\(0.00305\)[/tex].
- [tex]\(8.92 \times 10^6\)[/tex] in standard notation is [tex]\(8920000.0\)[/tex].
Therefore, the numbers in standard notation are:
1. 0.00305
2. 8920000.0
