Directed Number Using Negative Numbers. Objective To able to –Add & Subtract negative numbers –Multiply & Divide negative numbers.

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Presentation transcript:

Directed Number Using Negative Numbers

Objective To able to –Add & Subtract negative numbers –Multiply & Divide negative numbers

A Directed Number… Is one which has a + or – sign attached To show its direction Positive & Negative numbers NOT Plus & Minus numbers Yes! NO!

From 0 on a number line to right 5 to right 5 to left

Adding numbers = + 5

Adding numbers = - 5

Adding numbers =

Adding numbers =

Try these a) b) c) d) Think of 1 st number as a starting point Think of 2 nd number as a move left or right

Subtracting numbers =

Subtracting numbers = is just -2

Subtracting numbers =

4 Volunteers with WHITEBOARDS How good a teacher am I? Give a mark between 1 and 10 Hold up your boards – show class SUBTRACT a NEGATIVE means ADD

Subtract a NEGATIVE number = So = + 3

Try these a) b) c) Think of 1 st number as a starting point Think of 2 nd number as a move left or right Think of SUBTRACT as a REVERSE of DIRECTION

Basic Rules ADD a POSITIVE means ADD ADD a NEGATIVE means SUBTRACT SUBTRACT a POSITIVE means SUBTRACT SUBTRACT a NEGATIVE means ADD = = = = + 3

Sometimes Textbooks give a number in a bracket 5 - ( + 2)= (+2) Sometimes Textbooks give the sign NOT raised = 5 - ( + 2)=

Task AQA Intermediate Text [Green] –Page 36 Exercise 4.3 –Write Questions and answers

Multiply & Divide with Negative numbers

Multiplication x = + 6

-2-2 Multiplication x - 2 =

-2-2 Multiplication x - 2 =

Rule for Multiplication POSITIVE x POSITIVE = POSITIVE + 2 x + 3 = x - 3 = - 6 POSITIVE x NEGATIVE = NEGATIVE - 2 x - 3 = + 6 NEGATIVE x NEGATIVE = POSITIVE NEGATIVE x POSITIVE = NEGATIVE - 2 x + 3 = - 6 If SAME SIGN, answer is POSITIVE

Rule for Division POSITIVE ÷ POSITIVE = POSITIVE + 18 ÷ + 3 = ÷ - 3 = - 6 POSITIVE ÷ NEGATIVE = NEGATIVE - 18 ÷ - 3 = + 6 NEGATIVE ÷ NEGATIVE = POSITIVE NEGATIVE ÷ POSITIVE = NEGATIVE - 18 ÷ + 3 = - 6 If SAME SIGN, answer is POSITIVE Inverse of Multiplication

Task Exercise 4.4 page 38 Review Exercise

Puzzle Can you complete this puzzle? Click Here

Using negative numbers in formulae We call putting a number into an expression Substitution

Examples If t = f + 7 If f = 5 If f = - 5 t = t = f + 7 t = 12 t = t = 2

Examples If t = 3q + 4 If q = 5 If q = - 5 t = 3x5 + 4 t = 3q + 4 3q = 3 x q t = t = 19 t = 3x t = t = - 11 NOT t = = 39

Examples If t = 5 If t = - 5 S = 5x5 S = t 2 t 2 = t x t S = 25 S = - 5x - 5S = 25

Exercises Referring to your notes on negatives Attempt Exercises in Keymaths 8/3 page 126 onwards –6:5 –6:6 –6:7 –6:8