Identify Operation and Signs: Identify the operation and the signs of the numbers involved.We have −4 and −(−7). The minus sign in front of the parentheses indicates that we are subtracting a negative number.
Subtracting Negative Numbers: Subtracting a negative number is the same as adding its positive counterpart.So, −4−(−7) is the same as −4+7.
Add Numbers with Signs: Now, add the numbers considering their signs.Since we are adding a negative number to a positive number, we combine their absolute values and take the sign of the larger absolute value.Calculate: −4+7.
Perform Addition: Perform the addition.The absolute value of −4 is 4, and the absolute value of 7 is 7. Since 7 is greater than 4, the result will be positive.Calculate: 7−4.
Complete Calculation: Complete the calculation.7−4 equals 3.So, −4−(−7) equals 3.