Question

Subtract the sum of $156\mathrm{and}-213$ from the sum of $-117$and $-516$

Answer 1

Step 1: Find the sum of $156$and $-213$:

$\therefore 156+\left(-213\right)=-57$ ($\because \left|213\right|>\left|156\right|$, So we shall subtract $156$ from $213$ and will use the sign of $213$)

Step 2: Find the sum of $-117$ and $-516$:

$\therefore -117+\left(-516\right)=-633$ ($\because$ The sum is negative when both the integers are negative)

Step 3: Subtract the result of step ($1$) from the result of step ($2$):

$\therefore -633-\left(-57\right)=-633+\left(\mathrm{additive}\mathrm{inverse}\mathrm{of}-57\right)$ ($\because$ In subtraction, we add the additive inverse of the number to be subtracted)

$=-633+57$ ($\because$ additive inverse of $-57$ is $+57$)

$=-576$

Therefore, the required answer is $-576$.