Identify Signs: Identify the signs of the two numbers to determine the operation. We have a positive 7 and a negative 5. Since the signs are different, we will subtract the absolute values of the numbers.Subtract Absolute Values: Subtract the absolute values of the numbers. The absolute value of 7 is 7, and the absolute value of -5 is 5. Now, subtract the smaller number from the larger number: 7 - 5.Perform Subtraction: Perform the subtraction. Calculate: 7 - 5 = 2.Determine Final Sign: Determine the sign of the final answer. Since the absolute value of the positive number (7) is greater than the absolute value of the negative number (-5), the result will be positive.Combine for Final Answer: Combine the result and the sign to get the final answer. The final answer is positive 2.

Grade 7

Add integers

Full solution

Q. Add.

\newline

7+(-5)=

Identify Signs: Identify the signs of the two numbers to determine the operation. $\newline$ We have a positive $7$ and a negative $5$ . Since the signs are different, we will subtract the absolute values of the numbers.
Subtract Absolute Values: Subtract the absolute values of the numbers. $\newline$ The absolute value of $7$ is $7$ , and the absolute value of $-5$ is $5$ . Now, subtract the smaller number from the larger number: $7 - 5$ .
Perform Subtraction: Perform the subtraction. $\newline$ Calculate: $7 - 5 = 2$ .
Determine Final Sign: Determine the sign of the final answer. $\newline$ Since the absolute value of the positive number $7$ is greater than the absolute value of the negative number $-5$ , the result will be positive.
Combine for Final Answer: Combine the result and the sign to get the final answer. $\newline$ The final answer is positive $2$ .