Question

now, find the values of the expressions. you can use either expression in each column to solve, because the expressions in each column are equivalent. you can pick whichever expression is easier for you to solve.
expression | -7 + 6 | -7 - 6
equivalent expression | -7 - (-6) | -7 + (-6)
value | |

Explanation:

Step1: Solve \(-7 + 6\)

To add a negative number and a positive number, we subtract the smaller absolute value from the larger absolute value and take the sign of the number with the larger absolute value. The absolute value of \(-7\) is \(7\) and the absolute value of \(6\) is \(6\). Since \(7>6\), we subtract \(6\) from \(7\) and take the negative sign. So, \(-7 + 6=-(7 - 6)=-1\).
We can also use the equivalent expression \(-7-(-6)\). Subtracting a negative is like adding the positive, so \(-7-(-6)=-7 + 6=-1\) (same result as above).

Step2: Solve \(-7 - 6\)

To subtract a positive number from a negative number, we can rewrite it as adding the negative of the positive number. So, \(-7-6=-7+(-6)\). When adding two negative numbers, we add their absolute values and take the negative sign. The absolute value of \(-7\) is \(7\) and the absolute value of \(-6\) is \(6\). So, \(7 + 6 = 13\) and we take the negative sign, so \(-7+(-6)=-13\).
We can also use the original expression \(-7 - 6\), which is the same as moving \(6\) units to the left of \(-7\) on the number line, resulting in \(-13\).

Answer:

For \(-7 + 6\) (or \(-7-(-6)\)): \(-1\)
For \(-7 - 6\) (or \(-7+(-6)\)): \(-13\)