Answer :
Sure! Let's explore the meaning of the statement [tex]\(-30 < -5\)[/tex].
1. Understanding the Number Line:
- On a number line, numbers are arranged from least to greatest from left to right. Negative numbers are to the left of zero, and the more negative a number is, the further left it will be.
2. Comparing -30 and -5:
- The statement [tex]\(-30 < -5\)[/tex] reads as "minus 30 is less than minus 5".
- Think about where [tex]\(-30\)[/tex] and [tex]\(-5\)[/tex] are located on the number line.
- [tex]\(-30\)[/tex] is further to the left because it is more negative than [tex]\(-5\)[/tex].
3. Conclusion:
- Since [tex]\(-30\)[/tex] is to the left of [tex]\(-5\)[/tex] on the number line, it is indeed less than [tex]\(-5\)[/tex].
Therefore, the meaning of [tex]\(-30 < -5\)[/tex] is that minus 30 is less than minus 5, which corresponds to option C.
1. Understanding the Number Line:
- On a number line, numbers are arranged from least to greatest from left to right. Negative numbers are to the left of zero, and the more negative a number is, the further left it will be.
2. Comparing -30 and -5:
- The statement [tex]\(-30 < -5\)[/tex] reads as "minus 30 is less than minus 5".
- Think about where [tex]\(-30\)[/tex] and [tex]\(-5\)[/tex] are located on the number line.
- [tex]\(-30\)[/tex] is further to the left because it is more negative than [tex]\(-5\)[/tex].
3. Conclusion:
- Since [tex]\(-30\)[/tex] is to the left of [tex]\(-5\)[/tex] on the number line, it is indeed less than [tex]\(-5\)[/tex].
Therefore, the meaning of [tex]\(-30 < -5\)[/tex] is that minus 30 is less than minus 5, which corresponds to option C.
