© T Madas. Before we learn how to multiply or divide negative numbers, let us use the postman example: He delivers: cheques (positive) bills (negative)

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Presentation transcript:

© T Madas

Before we learn how to multiply or divide negative numbers, let us use the postman example: He delivers: cheques (positive) bills (negative) If they have been posted to us by mistake he can also take them back.

One day he delivers 2 envelopes, each with a £5 cheque. We are £10 better off. 2 £5 x x=

© T Madas One day he takes away 3 envelopes, each with a £4 bill. We are £12 better off. 3 £4 x -3-4x= – –+ -

© T Madas One day he delivers 2 envelopes, each with a £6 bill. We are £12 worse off. 2 £6 x x= – –+ + ––

© T Madas One day he takes away 4 envelopes, each with a £5 cheque. We are £20 worse off. 4 £5 x x= – –+ + –– – +– -

© T Madas to multiply or divide negative numbers We ignore that some of the numbers might be negative We carry out the multiplication or division We put a sign to the answer according to the rule: + ++ – –+ + –– – +–

-5 x 2 = -4 x (-3) = 8 x (-2) = -9 x (-3) = -7 x 3 = 4 x (-5) = -12 x 2 = -6 x (-5) = x 5 = -8 x (-6) = ÷ 3 = -24 ÷ (-3) = 18 ÷ (-2) = -30 ÷ (-3) = -27 ÷ 3 = 45 ÷ (-5) = -32 ÷ 8 = -36 ÷ (-9) = ÷ 9 = -48 ÷ (-6) = -9 8 Multiplication & Division of Negatives + ++ – –+ + –– – +–

© T Madas -15 x 2 = 8 x (-7) = -16 x 2 = -12 x 3 = x 3 = ÷ (-7) = -42 ÷ (-6) = 35 ÷ (-5) = -56 ÷ (-8) = ÷ (-7) = 9 Multiplication & Division of Negatives -5 x 2 = -4 x (-3) = 8 x (-2) = -9 x (-3) = -7 x 3 = 4 x (-5) = -12 x 2 = -6 x (-5) = x 5 = -8 x (-6) = ÷ 3 = -24 ÷ (-3) = 18 ÷ (-2) = -30 ÷ (-3) = -27 ÷ 3 = 45 ÷ (-5) = -32 ÷ 8 = -36 ÷ (-9) = ÷ 9 = -48 ÷ (-6) = -9 8

© T Madas -8 x 2 = -5 x (-3) = 7 x (-2) = -9 x (-4) = -7 x 4 = 4 x (-6) = -11 x 3 = -6 x (-6) = x 4 = -9 x (-6) = ÷ 5 = -24 ÷ (-8) = 26 ÷ (-2) = -36 ÷ (-3) = -27 ÷ 9 = 45 ÷ (-9) = -32 ÷ 2 = -54 ÷ (-9) = ÷ 2 = -48 ÷ (-8) = Multiplication & Division of Negatives + ++ – –+ + –– – +–

© T Madas -15 x 3 = 8 x (-9) = -16 x 3 = -12 x 3 = x 3 = ÷ (-7) = -42 ÷ (-7) = 72 ÷ (-8) = -56 ÷ (-7) = ÷ (-3) = 25 Multiplication & Division of Negatives -8 x 2 = -5 x (-3) = 7 x (-2) = -9 x (-4) = -7 x 4 = 4 x (-6) = -11 x 3 = -6 x (-6) = x 4 = -9 x (-6) = ÷ 5 = -24 ÷ (-8) = 26 ÷ (-2) = -36 ÷ (-3) = -27 ÷ 9 = 45 ÷ (-9) = -32 ÷ 2 = -54 ÷ (-9) = ÷ 2 = -48 ÷ (-8) = -18 6

© T Madas -8 x 3 = -5 x (-7) = 7 x (-4) = -9 x (-3) = -7 x 9 = 4 x (-16) = -13 x 4 = -6 x (-12) = x 5 = -9 x (-9) = ÷ 5 = -75 ÷ (-5) = 39 ÷ (-3) = -36 ÷ (-12) = -57 ÷ 3 = 45 ÷ (-5) = -64 ÷ 2 = -48 ÷ (-3) = ÷ 2 = -48 ÷ (-2) = Multiplication & Division of Negatives + ++ – –+ + –– – +–

© T Madas -15 x 4 = 12 x (-6) = -16 x 4 = -12 x 7 = x 4 = ÷ (-5) = -52 ÷ (-4) = 82 ÷ (-2) = -66 ÷ (-3) = ÷ (-5) = 17 Multiplication & Division of Negatives -8 x 3 = -5 x (-7) = 7 x (-4) = -9 x (-3) = -7 x 9 = 4 x (-16) = -13 x 4 = -6 x (-12) = x 5 = -9 x (-9) = ÷ 5 = -75 ÷ (-5) = 39 ÷ (-3) = -36 ÷ (-12) = -57 ÷ 3 = 45 ÷ (-5) = -64 ÷ 2 = -48 ÷ (-3) = ÷ 2 = -48 ÷ (-2) =

© T Madas

-15 x 2 = 8 x (-7) = -16 x 2 = -12 x 3 = x 3 = ÷ (-7) = -42 ÷ (-6) = 35 ÷ (-5) = -56 ÷ (-8) = ÷ (-7) = 9 Multiplication & Division of Negatives -5 x 2 = -4 x (-3) = 8 x (-2) = -9 x (-3) = -7 x 3 = 4 x (-5) = -12 x 2 = -6 x (-5) = x 5 = -8 x (-6) = ÷ 3 = -24 ÷ (-3) = 18 ÷ (-2) = -30 ÷ (-3) = -27 ÷ 3 = 45 ÷ (-5) = -32 ÷ 8 = -36 ÷ (-9) = ÷ 9 = -48 ÷ (-6) = -9 8

© T Madas -15 x 3 = 8 x (-9) = -16 x 3 = -12 x 3 = x 3 = ÷ (-7) = -42 ÷ (-7) = 72 ÷ (-8) = -56 ÷ (-7) = ÷ (-3) = 25 Multiplication & Division of Negatives -8 x 2 = -5 x (-3) = 7 x (-2) = -9 x (-4) = -7 x 4 = 4 x (-6) = -11 x 3 = -6 x (-6) = x 4 = -9 x (-6) = ÷ 5 = -24 ÷ (-8) = 26 ÷ (-2) = -36 ÷ (-3) = -27 ÷ 9 = 45 ÷ (-9) = -32 ÷ 2 = -54 ÷ (-9) = ÷ 2 = -48 ÷ (-8) = -18 6

© T Madas -15 x 4 = 12 x (-6) = -16 x 4 = -12 x 7 = x 4 = ÷ (-5) = -52 ÷ (-4) = 82 ÷ (-2) = -66 ÷ (-3) = ÷ (-5) = 17 Multiplication & Division of Negatives -8 x 3 = -5 x (-7) = 7 x (-4) = -9 x (-3) = -7 x 9 = 4 x (-16) = -13 x 4 = -6 x (-12) = x 5 = -9 x (-9) = ÷ 5 = -75 ÷ (-5) = 39 ÷ (-3) = -36 ÷ (-12) = -57 ÷ 3 = 45 ÷ (-5) = -64 ÷ 2 = -48 ÷ (-3) = ÷ 2 = -48 ÷ (-2) =

© T Madas