Presentation is loading. Please wait.

Presentation is loading. Please wait.

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

Published bySharyl Stevens Modified over 8 years ago

Similar presentations

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

1 © T Madas

2 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.

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

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

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

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

7 © 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: + ++ – –+ + –– – +–

8

9 -5 x 2 = -4 x (-3) = 8 x (-2) = -9 x (-3) = -7 x 3 = 4 x (-5) = -12 x 2 = -6 x (-5) = -10 12 -16 27 -21 -20 -24 30 -11 x 5 = -8 x (-6) = -55 48 -15 ÷ 3 = -24 ÷ (-3) = 18 ÷ (-2) = -30 ÷ (-3) = -27 ÷ 3 = 45 ÷ (-5) = -32 ÷ 8 = -36 ÷ (-9) = -5 8 -9 10 -9 -4 4 -81 ÷ 9 = -48 ÷ (-6) = -9 8 Multiplication & Division of Negatives + ++ – –+ + –– – +–

10 © T Madas -15 x 2 = 8 x (-7) = -16 x 2 = -12 x 3 = -30 -56 -32 -36 -13 x 3 = -39 -28 ÷ (-7) = -42 ÷ (-6) = 35 ÷ (-5) = -56 ÷ (-8) = 4 7 -7 7 -63 ÷ (-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) = -10 12 -16 27 -21 -20 -24 30 -11 x 5 = -8 x (-6) = -55 48 -15 ÷ 3 = -24 ÷ (-3) = 18 ÷ (-2) = -30 ÷ (-3) = -27 ÷ 3 = 45 ÷ (-5) = -32 ÷ 8 = -36 ÷ (-9) = -5 8 -9 10 -9 -4 4 -81 ÷ 9 = -48 ÷ (-6) = -9 8

11 © 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) = -16 15 -14 36 -28 -24 -33 36 -12 x 4 = -9 x (-6) = -48 54 -25 ÷ 5 = -24 ÷ (-8) = 26 ÷ (-2) = -36 ÷ (-3) = -27 ÷ 9 = 45 ÷ (-9) = -32 ÷ 2 = -54 ÷ (-9) = -5 3 -13 12 -3 -5 -16 6 -36 ÷ 2 = -48 ÷ (-8) = -18 6 Multiplication & Division of Negatives + ++ – –+ + –– – +–

12 © T Madas -15 x 3 = 8 x (-9) = -16 x 3 = -12 x 3 = -45 -72 -48 -36 -14 x 3 = -42 -70 ÷ (-7) = -42 ÷ (-7) = 72 ÷ (-8) = -56 ÷ (-7) = 10 6 -9 8 -75 ÷ (-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) = -16 15 -14 36 -28 -24 -33 36 -12 x 4 = -9 x (-6) = -48 54 -25 ÷ 5 = -24 ÷ (-8) = 26 ÷ (-2) = -36 ÷ (-3) = -27 ÷ 9 = 45 ÷ (-9) = -32 ÷ 2 = -54 ÷ (-9) = -5 3 -13 12 -3 -5 -16 6 -36 ÷ 2 = -48 ÷ (-8) = -18 6

13 © 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) = -24 35 -28 27 -63 -64 -52 72 -12 x 5 = -9 x (-9) = -60 81 -55 ÷ 5 = -75 ÷ (-5) = 39 ÷ (-3) = -36 ÷ (-12) = -57 ÷ 3 = 45 ÷ (-5) = -64 ÷ 2 = -48 ÷ (-3) = -11 15 -13 3 -19 -9 -32 16 -38 ÷ 2 = -48 ÷ (-2) = -19 24 Multiplication & Division of Negatives + ++ – –+ + –– – +–

14 © T Madas -15 x 4 = 12 x (-6) = -16 x 4 = -12 x 7 = -60 -72 -64 -84 -14 x 4 = -56 -70 ÷ (-5) = -52 ÷ (-4) = 82 ÷ (-2) = -66 ÷ (-3) = 14 13 -41 22 -85 ÷ (-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) = -24 35 -28 27 -63 -64 -52 72 -12 x 5 = -9 x (-9) = -60 81 -55 ÷ 5 = -75 ÷ (-5) = 39 ÷ (-3) = -36 ÷ (-12) = -57 ÷ 3 = 45 ÷ (-5) = -64 ÷ 2 = -48 ÷ (-3) = -11 15 -13 3 -19 -9 -32 16 -38 ÷ 2 = -48 ÷ (-2) = -19 24

15 © T Madas

16 -15 x 2 = 8 x (-7) = -16 x 2 = -12 x 3 = -30 -56 -32 -36 -13 x 3 = -39 -28 ÷ (-7) = -42 ÷ (-6) = 35 ÷ (-5) = -56 ÷ (-8) = 4 7 -7 7 -63 ÷ (-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) = -10 12 -16 27 -21 -20 -24 30 -11 x 5 = -8 x (-6) = -55 48 -15 ÷ 3 = -24 ÷ (-3) = 18 ÷ (-2) = -30 ÷ (-3) = -27 ÷ 3 = 45 ÷ (-5) = -32 ÷ 8 = -36 ÷ (-9) = -5 8 -9 10 -9 -4 4 -81 ÷ 9 = -48 ÷ (-6) = -9 8

17 © T Madas -15 x 3 = 8 x (-9) = -16 x 3 = -12 x 3 = -45 -72 -48 -36 -14 x 3 = -42 -70 ÷ (-7) = -42 ÷ (-7) = 72 ÷ (-8) = -56 ÷ (-7) = 10 6 -9 8 -75 ÷ (-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) = -16 15 -14 36 -28 -24 -33 36 -12 x 4 = -9 x (-6) = -48 54 -25 ÷ 5 = -24 ÷ (-8) = 26 ÷ (-2) = -36 ÷ (-3) = -27 ÷ 9 = 45 ÷ (-9) = -32 ÷ 2 = -54 ÷ (-9) = -5 3 -13 12 -3 -5 -16 6 -36 ÷ 2 = -48 ÷ (-8) = -18 6

18 © T Madas -15 x 4 = 12 x (-6) = -16 x 4 = -12 x 7 = -60 -72 -64 -84 -14 x 4 = -56 -70 ÷ (-5) = -52 ÷ (-4) = 82 ÷ (-2) = -66 ÷ (-3) = 14 13 -41 22 -85 ÷ (-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) = -24 35 -28 27 -63 -64 -52 72 -12 x 5 = -9 x (-9) = -60 81 -55 ÷ 5 = -75 ÷ (-5) = 39 ÷ (-3) = -36 ÷ (-12) = -57 ÷ 3 = 45 ÷ (-5) = -64 ÷ 2 = -48 ÷ (-3) = -11 15 -13 3 -19 -9 -32 16 -38 ÷ 2 = -48 ÷ (-2) = -19 24

19 © T Madas

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

Similar presentations

INTEGERS.

INTEGERS.
Addition & Subtraction Add Plus More than Subtract Difference Take away Altogether Minus Less than +-

Addition & Subtraction Add Plus More than Subtract Difference Take away Altogether Minus Less than +-
Integers: Multiplication & Division

Integers: Multiplication & Division
1.4-5: Multiplying Integers: Basic Rules. Ways to Express multiplication Remember: All of these mean the same thing: Five times four 5 × 4 5 · 4 5(4)

1.4-5: Multiplying Integers: Basic Rules. Ways to Express multiplication Remember: All of these mean the same thing: Five times four 5 × 4 5 · 4 5(4)
The Answer is RIGHT.

The Answer is RIGHT.
Dividing Rational Expressions Use the following steps to divide rational expressions. 1.Take the reciprocal of the rational expression following the division.

Dividing Rational Expressions Use the following steps to divide rational expressions. 1.Take the reciprocal of the rational expression following the division.
INTEGERS: adding, subtracting, multiplying, and dividing

INTEGERS: adding, subtracting, multiplying, and dividing
CH. 11-3 B & E Multiplying & Dividing Integers. Try These… 4 x 7 28 4 x (-7) -4 x 7 -4 x (-7) -28 28.

CH B & E Multiplying & Dividing Integers. Try These… 4 x x (-7) -4 x 7 -4 x (-7)
Objective: Learn to multiply and divide integers.

Objective: Learn to multiply and divide integers.
Day 7 – Multiplying and Dividing Integers. 1.Multiply the numbers 2.Same signs, answer is positive. 3.Different signs, answer is negative. Rules for Multiplying.

Day 7 – Multiplying and Dividing Integers. 1.Multiply the numbers 2.Same signs, answer is positive. 3.Different signs, answer is negative. Rules for Multiplying.
Integers. Adding integers Both positive…add as usual Both negative…add as usual and answer is negative Positive and negative…subtract…take the sign of.

Integers. Adding integers Both positive…add as usual Both negative…add as usual and answer is negative Positive and negative…subtract…take the sign of.
Integer Rules. Adding with the same sign Rules Rules Add like normal Add like normal Keep the sign Keep the sign Examples Examples -12 + -10 = -22 (all.

Integer Rules. Adding with the same sign Rules Rules Add like normal Add like normal Keep the sign Keep the sign Examples Examples = -22 (all.
© T Madas. Divide the following numbers in the ratio given 16 at 3 : 1 12 4 15 at 1 : 2 5 10 15 at 3 : 2 9 6 20 at 1 : 4 4 16 20 at 2 : 3 8 12 21 at 3.

© T Madas. Divide the following numbers in the ratio given 16 at 3 : at 1 : at 3 : at 1 : at 2 : at 3.
Multiplying and Dividing Integers

Multiplying and Dividing Integers
Multiplying Integers.

Multiplying Integers.
Chapter 4 Negative Numbers. Learning Objectives Order numbers Subtracting a larger number from a smaller number Adding negative numbers Subtracting negative.

Chapter 4 Negative Numbers. Learning Objectives Order numbers Subtracting a larger number from a smaller number Adding negative numbers Subtracting negative.
3 x 5 means… 3 “lots of” 5 3 x 5 means… 3 “lots of” 5 5 + 5 + 5 = 15.

3 x 5 means… 3 “lots of” 5 3 x 5 means… 3 “lots of” = 15.
Multiplying Rational Numbers Essential Question: How do you multiply rational numbers? Unit 1-4.

Multiplying Rational Numbers Essential Question: How do you multiply rational numbers? Unit 1-4.
Addition, Subtraction, Multiplication, and Division of Integers

Addition, Subtraction, Multiplication, and Division of Integers
© T Madas 0 1 2 3 4 5 6 7 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1.

© T Madas

Similar presentations

Ads by Google