Question

Dividing IntegersS Quiz Active 1 2 3 5 6 Which expression can be used to check the answer to 58--14)=42

1. -14x-4
2. -4-(-14)
3. 56x(-14)
4. -4-56​

Answer 1

The expression to check the division 58 ÷ -14 = -4 is -4 × (-14). Multiplying these two negative numbers according to the rules for multiplying integers yields a positive result, 56, confirming the division was correct.

Step-by-step explanation:

To check the answer to the division problem 58 ÷ -14 = -4, one can perform the inverse operation, which is multiplication. The correct expression to verify the solution is by multiplying the quotient by the divisor. Therefore, the expression used to check the division is -4 × (-14).

Rules of multiplying integers:

• When two positive numbers multiply, the answer has a positive sign.
• When two negative numbers multiply, the answer also has a positive sign.
• When the two numbers multiplied have opposite signs, the answer has a negative sign.

Applying these rules to our expression -4 × (-14), since both numbers are negative, the answer will be positive. In this case, -4 × (-14) = 56, which confirms that the original division was performed correctly, as 56 is the product of -4 and -14.