Identify Signs: Let's identify the signs of the two numbers we are dealing with. We have -2 and -(-7). The second number is a negative of a negative, which will become a positive. So, we are effectively dealing with -2 and +7.Rewrite Subtraction: Now, let's rewrite the subtraction of a negative number as the addition of a positive number. Subtracting -7 is the same as adding +7. So, the expression -2 - (-7) becomes -2 + 7.Add Absolute Values: Next, we add the two numbers. Since they have different signs, we take the absolute values and subtract the smaller from the larger. The absolute values are 2 and 7. Subtract the smaller absolute value from the larger one: 7 - 2.Perform Subtraction: Perform the subtraction: 7 - 2 equals 5. Since the larger absolute value was from the positive number, our result will be positive. So, -2 + 7 equals +5.

Grade 7

Add integers

Full solution

Q. Subtract.

\newline

-2-(-7)=

Identify Signs: Let's identify the signs of the two numbers we are dealing with. $\newline$ We have $-2$ and $-(-7)$ . The second number is a negative of a negative, which will become a positive. $\newline$ So, we are effectively dealing with $-2$ and $+7$ .
Rewrite Subtraction: Now, let's rewrite the subtraction of a negative number as the addition of a positive number. $\newline$ Subtracting $-7$ is the same as adding $+7$ . $\newline$ So, the expression $-2 - (-7)$ becomes $-2 + 7$ .
Add Absolute Values: Next, we add the two numbers. Since they have different signs, we take the absolute values and subtract the smaller from the larger. $\newline$ The absolute values are $2$ and $7$ . $\newline$ Subtract the smaller absolute value from the larger one: $7 - 2$ .
Perform Subtraction: Perform the subtraction: $7 - 2$ equals $5$ . $\newline$ Since the larger absolute value was from the positive number, our result will be positive. $\newline$ So, $-2 + 7$ equals $+5$ .