Answer :
Let's analyze each of the given statements to determine which one is not true.
Statement A: \( (-2) \times (-7) = (-14) \)
- When multiplying two negative numbers, the product is positive.
- Therefore, \( (-2) \times (-7) \) should actually be \( 14 \), not \( (-14) \).
- Hence, statement A is incorrect.
Statement B: \( 65 \div (-65) = (-1) \)
- Dividing a positive number by a negative number results in a negative quotient.
- Therefore, \( 65 \div (-65) \) indeed equals \( -1 \).
- Hence, statement B is correct.
Statement C: \( 5 \times (-6) = (-30) \)
- Multiplying a positive number by a negative number results in a negative product.
- Therefore, \( 5 \times (-6) \) indeed equals \( -30 \).
- Hence, statement C is correct.
Statement D: \( (-56) \div 8 = (-7) \)
- Dividing a negative number by a positive number results in a negative quotient.
- Therefore, \( (-56) \div 8 \) indeed equals \( -7 \).
- Hence, statement D is correct.
From the analysis, we can see that the incorrect statement is:
[tex]$[tex]$ A \quad (-2) \times(-7)=(-14) $[/tex]$[/tex]
So, the answer is:
A
Statement A: \( (-2) \times (-7) = (-14) \)
- When multiplying two negative numbers, the product is positive.
- Therefore, \( (-2) \times (-7) \) should actually be \( 14 \), not \( (-14) \).
- Hence, statement A is incorrect.
Statement B: \( 65 \div (-65) = (-1) \)
- Dividing a positive number by a negative number results in a negative quotient.
- Therefore, \( 65 \div (-65) \) indeed equals \( -1 \).
- Hence, statement B is correct.
Statement C: \( 5 \times (-6) = (-30) \)
- Multiplying a positive number by a negative number results in a negative product.
- Therefore, \( 5 \times (-6) \) indeed equals \( -30 \).
- Hence, statement C is correct.
Statement D: \( (-56) \div 8 = (-7) \)
- Dividing a negative number by a positive number results in a negative quotient.
- Therefore, \( (-56) \div 8 \) indeed equals \( -7 \).
- Hence, statement D is correct.
From the analysis, we can see that the incorrect statement is:
[tex]$[tex]$ A \quad (-2) \times(-7)=(-14) $[/tex]$[/tex]
So, the answer is:
A
