To determine which statement is true among the given options, we need to carefully compare the decimal numbers.
Option A: [tex]\( 9.08 > 9.8 \)[/tex]
- Adjust to the same number of decimal places: [tex]\( 9.080 \)[/tex] and [tex]\( 9.800 \)[/tex]
- Compare: [tex]\( 9.080 < 9.800 \)[/tex]
- Conclusion: This statement is false.
Option B: [tex]\( 0.908 < 0.9008 \)[/tex]
- Adjust to the same number of decimal places: [tex]\( 0.9080 \)[/tex] and [tex]\( 0.9008 \)[/tex]
- Compare: [tex]\( 0.9080 > 0.9008 \)[/tex]
- Conclusion: This statement is false.
Option C: [tex]\( 0.098 = 0.0098 \)[/tex]
- Adjust to the same number of decimal places: [tex]\( 0.0980 \)[/tex] and [tex]\( 0.0098 \)[/tex]
- Compare: [tex]\( 0.0980 \neq 0.0098 \)[/tex]
- Conclusion: This statement is false.
Option D: [tex]\( 0.98 = 0.980 \)[/tex]
- Adjust to the same number of decimal places: [tex]\( 0.980 \)[/tex] and [tex]\( 0.980 \)[/tex]
- Compare: [tex]\( 0.980 = 0.980 \)[/tex]
- Conclusion: This statement is true.
After reviewing all options, the true statement is:
D. [tex]\( 0.98 = 0.980 \)[/tex]
