Certainly! Let's match each real number with its corresponding scientific notation.
### Column I (Given Numbers):
1. 500 billion
2. 50 billion
3. 5 billion
4. 5 trillion
5. 50 million
### Column II (Scientific Notation):
1. [tex]\(0\)[/tex]
2. [tex]\(5 \times 10^9\)[/tex]
3. [tex]\(5 \times 10^7\)[/tex]
4. [tex]\(5 \times 10^{10}\)[/tex]
5. [tex]\(5 \times 10^{11}\)[/tex]
### Matching Process:
1. 500 billion:
- In scientific notation, 500 billion is written as [tex]\(5 \times 10^{11}\)[/tex].
- Match: 500 billion [tex]\(\rightarrow 5 \times 10^{11}\)[/tex].
2. 50 billion:
- In scientific notation, 50 billion is written as [tex]\(5 \times 10^{10}\)[/tex].
- Match: 50 billion [tex]\(\rightarrow 5 \times 10^{10}\)[/tex].
3. 5 billion:
- In scientific notation, 5 billion is written as [tex]\(5 \times 10^9\)[/tex].
- Match: 5 billion [tex]\(\rightarrow 5 \times 10^9\)[/tex].
4. 5 trillion:
- In scientific notation, 5 trillion is written as [tex]\(5 \times 10^{12}\)[/tex].
- This does not appear in column II, so it will not be used.
5. 50 million:
- In scientific notation, 50 million is written as [tex]\(5 \times 10^7\)[/tex].
- Match: 50 million [tex]\(\rightarrow 5 \times 10^7\)[/tex].
### Summary:
Putting it all together:
1. [tex]\(0\)[/tex] matches none of the given numbers from Column I.
2. [tex]\(5 \times 10^9\)[/tex] [tex]\(\rightarrow\)[/tex] 5 billion
3. [tex]\(5 \times 10^7\)[/tex] [tex]\(\rightarrow\)[/tex] 50 million
4. [tex]\(5 \times 10^{10}\)[/tex] [tex]\(\rightarrow\)[/tex] 50 billion
5. [tex]\(5 \times 10^{11}\)[/tex] [tex]\(\rightarrow\)[/tex] 500 billion
So, your final matching for Column II is as follows:
- [tex]\(0\)[/tex]
- [tex]\(5 \times 10^9\)[/tex] [tex]\(\rightarrow\)[/tex] 5 billion
- [tex]\(5 \times 10^7\)[/tex] [tex]\(\rightarrow\)[/tex] 50 million
- [tex]\(5 \times 10^{10}\)[/tex] [tex]\(\rightarrow\)[/tex] 50 billion
- [tex]\(5 \times 10^{11}\)[/tex] [tex]\(\rightarrow\)[/tex] 500 billion
