Add, subtract, multiply, and divide signed integers, applying sign rules.
Free, timed SHSAT practice sets on integer operations— every question includes a full worked explanation, and there's no account required.
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Most mistakes with negative numbers are sign mistakes, so handle the sign as its own step.
For a longer string like \(-3 - 7 - (-4)\), go left to right one step at a time: \(-3 - 7 = -10\), then \(-10 + 4 = -6\).
Common traps: treating \(- (-4)\) as \(-4\), and giving the answer the sign of the first number instead of the bigger one.
Apply the sign rules while subtracting: \(-13 - (-10) = -3\). Getting the sign of the answer wrong gives \(3\). Adding instead of subtracting gives \(-23\). Ignoring the signs and adding the sizes gives \(23\).
Apply the sign rules while multiplying: \(-6 \times (-19) = 114\). Getting the sign of the answer wrong gives \(-114\). Adding instead of multiplying gives \(-25\). Ignoring the signs and adding the sizes gives \(25\).
Work left to right, tracking signs: \(-10 - 7 = -17\), then \(-17 + (-4) = -21\). Adding \(7\) instead of subtracting it gives \(-7\). Subtracting \(-4\) instead of adding it gives \(-13\). Getting the sign of the answer wrong gives \(21\).