Integer Operations Adding Signed Numbers –3 + (–1) = –3 × (–1) = Same sign: add the absolute value of the numbers. Keep the sign. –4 + (–5) = –4 × (2) = 6 + (–10) = 7 • (–3) = –16 + (+5) = –2 • (+4) = –4 + (–2) + (+6) = –4(–2) + 3(–2) = Subtracting Signed Numbers –5 – (–4) = –30 ÷ (–6) = To subtract signed numbers, add the opposite. –1 – (–35) = 44 ÷ 4 = - Keep the first number - Change the subtraction 10 – (–8) = 6 ÷ (–12) = –20 – (+19) = –12 ÷ (+6) = Different signs: subtract the absolute value of the numbers. Use the sign of the number with the greater absolute value. - sign to addition Change the sign of the second number Follow rules for adding signed numbers Multiplying Signed Numbers (+) • (+) = + (–) • (–) = + (+) • (–) = – (–) • (+) = – Dividing Signed Numbers (+) ÷ (+) = + (–) ÷ (–) = + (+) ÷ (–) = – (–) ÷ (+) = – glue this part down Add + Multiply × " " glue this part down " Divide ÷ " Subtract – Integer Operations Adding Signed Numbers Same sign: add the absolute value of the numbers. Keep the sign. Different signs: subtract the absolute value of the numbers. Use the sign of the number with the greater absolute value. Subtracting Signed Numbers –3 + (–1) = -4 –3 × (–1) = 3 –4 + (–5) = -9 –4 × (2) = -8 -8 6 + (–10) = -4 7 • (–3) = -21 –16 + (+5) = -11 –2 • (+4) = -8 –4 + (–2) + (+6) = 0 –5 – (–4) = -1 To subtract signed numbers, add the opposite. –1 – (–35) = 34 - Keep the first number - Change the subtraction 10 – (–8) = - sign to addition Change the sign of the second number Follow rules for adding signed numbers 18 –20 – (+19) = -39 –4(–2) + 3(–2) = 2 –30 ÷ (–6) = 5 44 ÷ 4 = 11 6 ÷ (–12) = -1/2 –12 ÷ (+6) = -2 Multiplying Signed Numbers (+) • (+) = + (–) • (–) = + (+) • (–) = – (–) • (+) = – Dividing Signed Numbers (+) ÷ (+) = + (–) ÷ (–) = + (+) ÷ (–) = – (–) ÷ (+) = –
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