Question

column to solve, because the expressions in each column are equivalent. you can pick whichever expression is easier for you to solve.
expression | 10 + 12 | -10 + -12 | 12 + -10 | 10 - 12
equivalent expression | 10 - (-12) | -10 - 12 | 12 - 10 | 10 + -12
value | | | |
it may be helpful to visualize each of the expressions on a number line to find their values.

Explanation:

Step1: Solve \(10 + 12\)

To find the value of \(10 + 12\), we simply add the two positive numbers.
\(10 + 12 = 22\)

Step2: Solve \(-10 + -12\)

When adding two negative numbers, we add their absolute values and keep the negative sign. The absolute value of \(-10\) is \(10\) and the absolute value of \(-12\) is \(12\). So we add \(10\) and \(12\) and then put a negative sign in front.
\(-10 + -12=-(10 + 12)=- 22\)

Step3: Solve \(12 + -10\)

This is equivalent to \(12-10\) (since adding a negative number is the same as subtracting its positive counterpart). We subtract \(10\) from \(12\).
\(12 + -10=12 - 10 = 2\)

Step4: Solve \(10-12\)

This is equivalent to \(10+(- 12)\). We can think of it as starting at \(10\) on the number line and moving \(12\) units to the left. Since \(12>10\), the result will be negative. We find the difference between \(12\) and \(10\) and put a negative sign.
\(10 - 12=10+(-12)=-(12 - 10)=-2\)

Answer:

For \(10 + 12\) (or \(10-(-12)\)): \(22\)
For \(-10 + -12\) (or \(-10 - 12\)): \(-22\)
For \(12 + -10\) (or \(12 - 10\)): \(2\)
For \(10 - 12\) (or \(10 + -12\)): \(-2\)