Starter 7x – 9x -2x + 10x 3y - - 5y -6p + 2p -10t + t

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Presentation transcript:

Starter 7x – 9x -2x + 10x 3y - - 5y -6p + 2p -10t + t Adding and Subtracting negative numbers: EXTRA: 7x – 9x -2x + 10x 3y - - 5y -6p + 2p -10t + t -2k + s – 7k – 8s -41 + 62 12 - - 9 -20 + - 15 -11 + 30 24 - - 12 -3 + -16 6 – 22 13 + -13 -199 + 199 16 - - 3.5 1 = 21 2 = 21 3 = -35 4 = 19 5 = 36 6 = -19 7 = -16 8 = 0 9 = 0 10 = 19.5 -2x 8x 8y -4p -9t -9k – 7s

If the signs are the SAME the answer is POSITIVE LO: to be able to multiply and divide negative numbers. The Rules: Multiplying +ve x +ve = +ve -ve x -ve = +ve +ve x -ve = -ve -ve x +ve = -ve Dividing +ve ÷ +ve = +ve -ve ÷ -ve = +ve +ve ÷ -ve = -ve -ve ÷ +ve = -ve If the signs are the SAME the answer is POSITIVE If the signs are DIFFERENT the answer is NEGATIVE

= 48 -12 x -4 -ve x -ve = +ve Example 1 The signs are the same so the answer is POSITIVE! Just do as you would normally do when multiplying the numbers. = 48 Try: 1) -7 x -2 2) -9 x -10 3) -11 x -19 4) -2 x -5y

63 ÷ -7 = -9 +ve ÷ -ve = -ve Example 2 Do the calculation as if it was just 63 ÷ 7. (= 9) Decide which rule you need to use. +ve ÷ -ve = -ve (The signs are different so the answer is NEGATIVE) = -9

Questions Answers 3 x – 4 -12 -7 x -2 14 9 x 9 81 6 x -6 -36 -20 ÷ 5 -100 ÷ -10 -10 x 2 -11 x -19 - 450 ÷ - 5 36 ÷ -6 -7 x 11 -12 x 11 -3 x -20 -6 x -3 ÷ 2 Answers -12 14 81 -36 -4 10 -20 209 90 -6 -77 -132 60 9

Can you do these?? 1892 ÷ (-3) (-9)²

Negative numbers and Algebra: Sometimes you need to remember these rules in order to simplify algebra. Example: -2 ( 5x – 4) 9 ( 2y – 7) (x – 4) ( x – 2)