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Answer :
The statement [tex]\(-30 < -5\)[/tex] is a comparison between two negative numbers. Here's a detailed explanation:
1. Understanding Negative Numbers:
- Negative numbers are numbers that are less than zero. On a standard number line, they are positioned to the left of zero.
- The more negative a number is, the smaller it is. For example, [tex]\(-30\)[/tex] is further left on the number line than [tex]\(-5\)[/tex].
2. Comparing [tex]\(-30\)[/tex] and [tex]\(-5\)[/tex]:
- If you think about a number line, the number [tex]\(-30\)[/tex] comes before [tex]\(-5\)[/tex]. This means [tex]\(-30\)[/tex] is considered less because it is further to the left.
- So, when comparing [tex]\(-30\)[/tex] and [tex]\(-5\)[/tex], we can see that [tex]\(-30\)[/tex] is indeed less than [tex]\(-5\)[/tex].
3. Interpretation of the Statement [tex]\(-30 < -5\)[/tex]:
- The expression [tex]\(-30 < -5\)[/tex] accurately describes that [tex]\(-30\)[/tex] is less than [tex]\(-5\)[/tex].
Therefore, the correct interpretation of the statement is:
C. Minus 30 is less than minus 5
1. Understanding Negative Numbers:
- Negative numbers are numbers that are less than zero. On a standard number line, they are positioned to the left of zero.
- The more negative a number is, the smaller it is. For example, [tex]\(-30\)[/tex] is further left on the number line than [tex]\(-5\)[/tex].
2. Comparing [tex]\(-30\)[/tex] and [tex]\(-5\)[/tex]:
- If you think about a number line, the number [tex]\(-30\)[/tex] comes before [tex]\(-5\)[/tex]. This means [tex]\(-30\)[/tex] is considered less because it is further to the left.
- So, when comparing [tex]\(-30\)[/tex] and [tex]\(-5\)[/tex], we can see that [tex]\(-30\)[/tex] is indeed less than [tex]\(-5\)[/tex].
3. Interpretation of the Statement [tex]\(-30 < -5\)[/tex]:
- The expression [tex]\(-30 < -5\)[/tex] accurately describes that [tex]\(-30\)[/tex] is less than [tex]\(-5\)[/tex].
Therefore, the correct interpretation of the statement is:
C. Minus 30 is less than minus 5
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