Fundamental Operations with Integers (A)

Principle of Signs: (+3) = + + + (–4) = – – – – (+5) = + + + + + (–2) = – –

Principle of Opposites: (+3) + (–3) = 0 (–4) + (+4) = 0 (+5) + (–2) = +3 (+3) + (–7) = –4

Addition ( Combining of Signs )

Same Signs => Combine Values with Common Sign Different Signs => Apply Principle of Opposites

(+2) + (+9) = ______ (+3) + (–6) = ______

(–3) + (–8) = ______ (–2) + (+7) = ______

(+4) + (–7) = ______ (+5) + (+8) = ______

(–5) + (+6) = ______ (–4) + (–9) = ______

Subtraction ( * Add the Opposite * )

Change Operation of Subtraction to Addition then Change Sign of Second Number to Opposite Sign then Combine!

(+2) – (+9) = ______ (+3) – (–6) = ______

(–3) – (–8) = ______ (–2) – (+7) = ______

(+4) – (–7) = ______ (+5) – (+8) = ______

(–5) – (+6) = ______ (–4) – (–9) = ______

Multiplication ( Same Signs & Different Signs )

If Signs are the Same then Multiply Values and Result Sign is ( + ) If Signs are the Same then Multiply Values and Result Sign is (– )

(+2) * (+9) = ______ (+3) * (–6) = ______

(–3) * (–8) = ______ (–2) * (+7) = ______

(+4) * (–7) = ______ (+5) * (+8) = ______

(–5) * (+6) = ______ (–4) * (–9) = ______

Division ( Same Signs & Different Signs )

If Signs are the Same then Divide Values and Result Sign is ( + ) If Signs are the Same then Divide Values and Result Sign is (– )

(+6) / (+2) = ______ (+28) / (–7) = ______

(–9) / (–3) = ______ (–12) / (+6) = ______

(+8) / (–4) = ______ (+27) / (+9) = ______

(–10) / (+5) = ______ (–16) / (–8) = ______

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Fundamental Operations with Integers (B)

Principle of Signs: (+3) = + + + (–4) = – – – – (+5) = + + + + + (–2) = – –

Principle of Opposites: (+3) + (–3 = 0 (–4) + (+4) = 0 (+5) + (–2) = +3 (+3) + (–7) = –4

Addition ( Combining of Signs )

Same Signs => Combine Values with Common Sign Different Signs => Apply Principle of Opposites

(+2) + (+6) = ______ (+3) + (–9) = ______

(–3) + (–7) = ______ (–2) + (+8) = ______

(+4) + (–8) = ______ (+5) + (+7) = ______

(–5) + (+9) = ______ (–4) + (–6) = ______

Subtraction ( * Add the Opposite * )

Change Operation of Subtraction to Addition then Change Sign of Second Number to Opposite Sign then Combine!

(+2) – (+6) = ______ (+3) – (–9) = ______

(–3) – (–7) = ______ (–2) – (+8) = ______

(+4) – (–8) = ______ (+5) – (+7) = ______

(–5) – (+9) = ______ (–4) – (–6) = ______

Multiplication ( Same Signs & Different Signs )

If Signs are the Same then Multiply Values and Result Sign is ( + ) If Signs are the Same then Multiply Values and Result Sign is (– )

(+2) * (+6) = ______ (+3) * (–9) = ______

(–3) * (–7) = ______ (–2) * (+8) = ______

(+4) * (–8) = ______ (+5) * (+7) = ______

(–5) * (+9) = ______ (–4) * (–6) = ______

Division ( Same Signs & Different Signs )

If Signs are the Same then Divide Values and Result Sign is ( + ) If Signs are the Same then Divide Values and Result Sign is (– )

(+6) / (+3) = ______ (+21) / (–7) = ______

(–8) / (–2) = ______ (–18) / (+6) = ______

(+12) / (–4) = ______ (+45) / (+9) = ______

(–15) / (+5) = ______ (–24) / (–8) = ______

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Principle of Signs: (+3) = + + + (–4) = – – – – (+5) = + + + + + (–2) = – –

Same Signs => Combine Values with Common Sign Different Signs => Apply Principle of Opposites

Principle of Signs: (+3) = + + + (–4) = – – – – (+5) = + + + + + (–2) = – –

Same Signs => Combine Values with Common Sign Different Signs => Apply Principle of Opposites

Tom Love Malone College Spring 20006