Question

Use the subtraction rule to rewrite the subtraction expression as an equivalent addition expression. Then evaluate the expression. $$ 2-(-3)-6 $$

Short answer

-1

Step-by-step solution

Rewrite subtraction as addition

Apply the subtraction rule to rewrite each subtraction operation as an addition operation. The subtraction rule is: \(a - b = a + (-b)\). Hence, the equation becomes \(2 + (-(-3)) + (-6)\), which simplifies to \(2 + 3 - 6\).

Evaluate the expression

Now add and subtract in order from left to right. First, add 2 and 3 to get 5. Then, subtract 6 from 5 to get -1.