Let's compare each option with [tex]\(10^3\)[/tex] to determine which quantity is greater.
1. Option w: [tex]\(10^{-6}\)[/tex]
[tex]\(10^{-6}\)[/tex] represents a very small number, specifically one millionth (0.000001). Since [tex]\(10^3\)[/tex] equals 1000, which is much larger than [tex]\(10^{-6}\)[/tex], this option is not greater than [tex]\(10^3\)[/tex].
2. Option x: [tex]\(10^{-1}\)[/tex]
[tex]\(10^{-1}\)[/tex] represents one tenth, which is 0.1. Since 0.1 is significantly smaller than 1000, this option is not greater than [tex]\(10^3\)[/tex].
3. Option y: [tex]\(10^1\)[/tex]
[tex]\(10^1\)[/tex] equals 10. Since 10 is much smaller than 1000, this option is not greater than [tex]\(10^3\)[/tex].
4. Option z: [tex]\(10^4\)[/tex]
[tex]\(10^4\)[/tex] equals 10000. Since 10000 is larger than 1000, this option is greater than [tex]\(10^3\)[/tex].
To summarize:
- [tex]\(10^{-6}\)[/tex] is not greater than [tex]\(10^3\)[/tex].
- [tex]\(10^{-1}\)[/tex] is not greater than [tex]\(10^3\)[/tex].
- [tex]\(10^1\)[/tex] is not greater than [tex]\(10^3\)[/tex].
- [tex]\(10^4\)[/tex] is greater than [tex]\(10^3\)[/tex].
So, the only quantity greater than [tex]\(10^3\)[/tex] is option z) [tex]\(10^4\)[/tex].
