Integers, Addition and Subtraction.

Table of Contents

• Graduate and Student Assistants 3
• Jeanne Hullihan 3
• Connie Speaker Ambie Vought 3
• Donnie Anderson Dale McClung 3
• Dianah M. Hills Juanita Wyne 3
• Do Not Reproduce Without Permission 3
• September 1967 3
• For information write 3
• Bldg. S-503 School Annex West Palm Beach Florida 3
• TITLE III MATH. PROJECT 4
• Dr. Jack L. Foley 4
• Administrative Assistant 4
• Miss Elizabeth Basten 4
• Mrs. Ruth Bower 4
• Schools 4
• Belle Glade Junior High School 4
• Boynton Beach Junior High School 4
• Holy Name School 4
• North Shore Jr.-Sr. High School Roosevelt Jr.-Sr. High School 4
• Poinciana School Saint Ann School 4
• Mr. Clinton Butler Jr. 4
• A number line is often used to illustrate number relationships and 5
• For example the operations of addition and subtraction 5
• 11 13 5
• To show this first move three spaces and then six more 5
• 3 9 5
• 0 4 6
• 9 10 11 12 13 6
• 9 10 11 12 13 14 6
• 9 10 11 121314 6
• 9 10 11 12 13 14 15 16 17 18 6
• 2 3 7
• 3 m 7
• What do you notice about your answers to a and b 7
• What do you notice about your answers to c and d 7
• Do you think this is true for 7
• The numbers we have been working with 7
• 0 1 2 3 4 7
• Each point below represents one 8
• They 8
• These numbers are sometime called signed numbers or directed 8
• The numbers to the left of zero are called neRativtlintegers and 8
• The numbers ere read as 8
• Does zero have an 9
• This makes every integer have 9
• On the number line a number to the right of another number 10
• -5 -4 -3 -2 2 5 10
• Remember the relation symbols is greater than and is less 10
• Now we can write 10
• Rearrange the following integers so that they will be in order from 11
• 0 -8 4 -2 -9 6 11
• 6 8 0 -2 3 -8 11
• It looked like the picture below 11
• In August Mr. Blacks stake looked like this 12
• Feet 13
• Rocket Firing 13
• After firing 13
• Sea Level 13
• City B is 350 below sea level. 13
• City C is 100 above city B. 13
• Locate the cities. 13
• How long is it from 10 seconds 13
• How long is it from 7 seconds 13
• 7 seconds after firing is how 13
• 12 No. Line 14
• This no. line represents the floors 14
• The ground floor is 14
• Player A starts at 50 yard line 14
• Where would he be 14
• Player B starts at the 30 yard line 14
• Where 14
• Player C starting at 50 yards gains 14
• Where 14
• 13 No. line 15
• Show the landing of Columbus 15
• Operations--Addition and Subtraction 16
• Follow the activity below as an introduction to adding and subtracting 16
• Activities 16
• Cut out two long stripe of paper and number them like the examples 16
• Slide number 1. moves. 16
• Consider the problem -4 16
• 0 1 16
• Slide number 2 stays still ane we move slide number 1. so that the 17
• What is the 17
• Yes -4 17
• Now try 17
• Try -6 17
• No. 2 17
• 74-lo -9 75 17
• You can also add integers by simply counting 18
• Bere is how you do it. 18
• -4 3 18
• Start with the first number LI 18
• If the 7 had been a positive number 18
• When you are adding a positive numberLou count to the ri 18
• The line 19
• The three problems are 19
• 61 make a move of -3. 19
• Notice that a move to the left is a negative move and a move to the 19
• The problem below can be shown by multiple moves more than one 21
• -9 0 21
• -16 21
• Since you have learned to add integers you can solve any subtraction 23
• The 23
• See the examples below. 23
• Activities 23
• - 14 23
• The problem below can be rewritten 24
• Activities 24
• . 10 24
• - - 24
• - -24 24