Answer :
Let's evaluate each statement and determine whether it is true or false.
A. [tex]\(\frac{2}{11}\)[/tex] is equal to 0.18
- The actual value of [tex]\(\frac{2}{11}\)[/tex] is approximately 0.18181818181818182.
- It does not match 0.18 exactly.
Therefore, the statement is False.
B. [tex]\(\frac{-3}{45}\)[/tex] is equal to -0.06
- The actual value of [tex]\(\frac{-3}{45}\)[/tex] is approximately -0.06666666666666667.
- It does not match -0.06 exactly.
Therefore, the statement is False.
C. [tex]\(\frac{67}{80}\)[/tex] is equal to 0.8375
- The actual value of [tex]\(\frac{67}{80}\)[/tex] is exactly 0.8375.
Therefore, the statement is True.
D. [tex]\(\frac{21}{-25}\)[/tex] is equal to -0.84
- The actual value of [tex]\(\frac{21}{-25}\)[/tex] is exactly -0.84.
Therefore, the statement is True.
E. [tex]\(\frac{7}{15}\)[/tex] is equal to 0.47
- The actual value of [tex]\(\frac{7}{15}\)[/tex] is approximately 0.4666666666666667.
- It does not match 0.47 exactly.
Therefore, the statement is False.
So, the answers for the given statements are:
A. False
B. False
C. True
D. True
E. False
A. [tex]\(\frac{2}{11}\)[/tex] is equal to 0.18
- The actual value of [tex]\(\frac{2}{11}\)[/tex] is approximately 0.18181818181818182.
- It does not match 0.18 exactly.
Therefore, the statement is False.
B. [tex]\(\frac{-3}{45}\)[/tex] is equal to -0.06
- The actual value of [tex]\(\frac{-3}{45}\)[/tex] is approximately -0.06666666666666667.
- It does not match -0.06 exactly.
Therefore, the statement is False.
C. [tex]\(\frac{67}{80}\)[/tex] is equal to 0.8375
- The actual value of [tex]\(\frac{67}{80}\)[/tex] is exactly 0.8375.
Therefore, the statement is True.
D. [tex]\(\frac{21}{-25}\)[/tex] is equal to -0.84
- The actual value of [tex]\(\frac{21}{-25}\)[/tex] is exactly -0.84.
Therefore, the statement is True.
E. [tex]\(\frac{7}{15}\)[/tex] is equal to 0.47
- The actual value of [tex]\(\frac{7}{15}\)[/tex] is approximately 0.4666666666666667.
- It does not match 0.47 exactly.
Therefore, the statement is False.
So, the answers for the given statements are:
A. False
B. False
C. True
D. True
E. False