Answer :
Let's break down the problem step by step to determine whether the statement is true or false.
1. Given Values:
- Divisor: -7
- Quotient: 8
- Other Integer: 56
2. Quotient Calculation:
To find the quotient, we divide the other integer by the divisor. This is calculated as:
[tex]\[ \text{Quotient} = \frac{\text{Other Integer}}{\text{Divisor}} \][/tex]
3. Perform the Division:
Now, substitute the given values into the formula:
[tex]\[ \text{Quotient} = \frac{56}{-7} \][/tex]
Calculate the division:
[tex]\[ \frac{56}{-7} = -8 \][/tex]
Thus, the quotient calculated from these numbers is -8.
4. Comparison with Given Quotient:
We compare the calculated quotient (-8) with the given quotient (8).
- Calculated Quotient: -8
- Given Quotient: 8
5. Determine Truth Value:
Since -8 is not equal to 8, the statement provided in the question is false.
Therefore, considering the given values and the calculation, the answer to the question "The quotient of two integers is 8. The divisor is -7. The other integer is 56." is [tex]\( \boxed{\text{False}} \)[/tex].
1. Given Values:
- Divisor: -7
- Quotient: 8
- Other Integer: 56
2. Quotient Calculation:
To find the quotient, we divide the other integer by the divisor. This is calculated as:
[tex]\[ \text{Quotient} = \frac{\text{Other Integer}}{\text{Divisor}} \][/tex]
3. Perform the Division:
Now, substitute the given values into the formula:
[tex]\[ \text{Quotient} = \frac{56}{-7} \][/tex]
Calculate the division:
[tex]\[ \frac{56}{-7} = -8 \][/tex]
Thus, the quotient calculated from these numbers is -8.
4. Comparison with Given Quotient:
We compare the calculated quotient (-8) with the given quotient (8).
- Calculated Quotient: -8
- Given Quotient: 8
5. Determine Truth Value:
Since -8 is not equal to 8, the statement provided in the question is false.
Therefore, considering the given values and the calculation, the answer to the question "The quotient of two integers is 8. The divisor is -7. The other integer is 56." is [tex]\( \boxed{\text{False}} \)[/tex].
