Addition and Subtraction of Integers

Slides:



Advertisements
Similar presentations
Rational Numbers ~ Adding Rational Numbers
Advertisements

Race Car Integers October 18, Race Car Rules / Positive numbers mean “forward” / Negative numbers mean “reverse” / Add means “keep going” / Subtract.
Adding & Subtracting Integers!
1.5 Subtracting Integers Standards: NS 1.2 and AF 1.3 Objectives: Subtract integers.
Addition and Subtraction of Integers In this tutorial, we will learn how to add and subtract signed numbers with the help of a toy car. The line the car.
Unit 1: Integers.  There are two types of problems:  1- When the signs are the same  = 5  = -5  2- When the signs are different  3.
Review Adding Integers: (-5) = = (-7) = =
Addition Multiplication Subtraction Division. 1.If the signs are the same, add the numbers and keep the same sign = = If the.
ADDITION AND SUBTRACTION of INTEGERS The University of Texas at Dallas.
Page 71 MMS grade 7 Subtracting integers with number lines.
Subtracting Integers Objective: Learn to subtract integers.
1.5 Adding Integers. Adding Integers! When adding two positive numbers, Start at 5 Move to the right 7 spaces Answer : 12.
Integer Operations Students will solve problems using addition, subtraction, multiplication, and division of positive and negative integers.
Interesting Integers – Part Dos
Subtracting Integers Ch. 11-2D.
Subtracting Integers #41.
Add and Subtract Negative Numbers
Rules for Adding & Subtracting Integers
Integers Rules of Operation.
Positive and Negative Numbers
Integer Rules Memorize the Rules.
Interesting Integers! REVIEW
Adding Integers.
Addition of Signed Numbers
Addition of Real Numbers
Adding and Subtracting Integers
Accelerated Math 6 August 22, 2013
Multiplying and Dividing Signed Numbers
Using Rules to Subtract Integers
Multiplication and integers
Positive and Negative Numbers
Operations with Integers
Subtracting Integers 8/23/16.
INTEGER RULES Positives & negatives.
Rules of Integers.
8 + (-6) = ? = ?.
Add Subtract Positive Negative integers
Adding and Subtracting Integers
The Integer Song.
Adding Integers Using a Number Line.
Chapter 2: Adding Integers
Warm up ADD 1.) ) 3.) 4.) 7 + (-3) 5.) 0 + (-4) 1.) 8 2.) -11
Positive and Negative Numbers
7.1.3 Subtracting Integers.
Lesson 1 Adding Integers.
Objective: Learn to subtract integers.
Positive and Negative Numbers
Integer Review.
Lesson #17: Adding Integers
Integers & Absolute Value
Comparing integers.
Multiplying and Dividing Integers
INTEGER RULES Positives & negatives.
Adding and Subtracting Integers
Subtracting Integers Sec 2.3 pg
Number Lines.
Operations with Integers
Subtracting Integers.
Quick Review and Warm-Up You can copy for notes if needed.
7.NS.1 Positive and Negative Numbers
Operations with Integers
Chapter 2-2 Adding Integers
Integers Blast Off
Add and Subtract Positive & Negative Integers
Negative numbers are first introduced for solving equations such as
Subtracting integers without number line 3 digit.
Using number to subtract two integers
Adding integers without number line 2 digit.
Aim: I will learn to subtract integers.
Chapter 2: Adding Integers
Presentation transcript:

Addition and Subtraction of Integers In this tutorial, we will learn how to add and subtract signed numbers with the help of a toy car. The line the car sitting on is called the number line, where the positive numbers are on the right and the negative numbers are on the left.

Addition and Subtraction of Integers The car will stick to the following rules: 1. It always starts at 0 (its home) facing right. 2. If it sees a positive number, it moves forward. 3. If it sees a negative number, it backs up. 4. If it sees an addition sign, it continues to read the next number. 5. If it sees a subtraction sign, it turns around and then continues to read the next number. Click to see the first example.

Example 1: 2 + 4 Our car starts from 0 facing right. It then moves 2 units to the right (click to see animation)

Example 1: 2 + 4 Our car starts from 0 facing right. It then moves 2 units to the right

Example 1: 2 + 4 Our car starts from 0 facing right. It then moves 2 units to the right

Example 1: 2 + 4 Our car starts from 0 facing right. It then moves 2 units to the right.

Example 1: 2 + 4 Our car starts from 0 facing right. It then moves 2 units to the right. 3. Next the car will move 4 more units forward because it sees the number 4. (click to see next animation.)

Example 1: 2 + 4 Our car starts from 0 facing right. It then moves 2 units to the right. 3. Next the car will move 4 more units forward because it sees the number 4. (click to see next animation.)

Example 1: 2 + 4 Our car starts from 0 facing right. It then moves 2 units to the right. 3. Next the car will move 4 more units forward because it sees the number 4. Since the car now stops at 6, the answer to 2 + 4 is 6. (click to see the next example)

Example 2: (-2 ) + 5 Our car starts from 0 facing right. It then backs up 2 units (to the left) because it sees the - sign. (Click to see animation)

Example 2: (-2 ) + 5 Our car starts from 0 facing right. It then backs up 2 units (to the left) because it sees the - sign.

Example 2: (-2 ) + 5 Our car starts from 0 facing right. It then backs up 2 units (to the left) because it sees the - sign.

Example 2: (-2 ) + 5 Our car starts from 0 facing right. It then backs up 2 units (to the left) because it sees the - sign. Next it will move forward by 5 units. (click to see animation)

Example 2: (-2 ) + 5 Our car starts from 0 facing right. It then backs up 2 units (to the left) because it sees the - sign. Next it will move forward by 5 units.

Example 2: (-2 ) + 5 Our car starts from 0 facing right. It then backs up 2 units (to the left) because it sees the - sign. Next it will move forward by 5 units.

Example 2: (-2 ) + 5 Our car starts from 0 facing right. It then backs up 2 units (to the left) because it sees the - sign. Next it will move forward by 5 units. Now it stops at +3, therefore the answer to (-2) + 5 is 3. Please go to the next tutorial for subtractions.

Subtraction There is a big difference between addition and subtraction. In addition, our car is always facing right, because that is the positive direction, but in subtraction, the car has to turn around (180 deg) first. Click when you are ready.

Example 3: 5 – 3 Our car still starts at 0 facing right. It then moves forward 5 units. (Click to start animation)

Example 3: 5 – 3 Our car still starts at 0 facing right. It then moves forward 5 units.

Example 3: 5 – 3 Our car still starts at 0 facing right. It then moves forward 5 units.

Example 3: 5 – 3 Our car still starts at 0 facing right. It then moves forward 5 units.

Example 3: 5 – 3 Our car still starts at 0 facing right. It then moves forward 5 units. Next it will turn around because it sees the subtraction symbol – . Click to see animation.

Example 3: 5 – 3 Our car still starts at 0 facing right. It then moves forward 5 units. Next it will turn around because it sees the subtraction symbol – .

Example 3: 5 – 3 Our car still starts at 0 facing right. It then moves forward 5 units. Next it will turn around because it sees the subtraction symbol – .

Example 3: 5 – 3 Our car still starts at 0 facing right. It then moves forward 5 units. Next it will turn around because it sees the subtraction symbol – . Finally it will move forward (to the left) by 3 units. click to see animation. Our car still starts at 0 facing right. It then moves forward 5 units. Next it will turn around because it sees the subtraction symbol – .

Example 3: 5 – 3 Our car still starts at 0 facing right. It then moves forward 5 units. Next it will turn around because it sees the subtraction symbol – . Finally it will move forward (to the left) by 3 units.

Example 3: 5 – 3 Our car still starts at 0 facing right. It then moves forward 5 units. Next it will turn around because it sees the subtraction symbol – . Finally it will move forward (to the left) by 3 units. Since the car stops at 2, the answer to 5 – 3 must be 2. Click to see the next example.

Example 4: (-4) – 2 Our car still starts at 0 facing right. It then backs up 4 units because it sees the negative symbol - in front of 4. (Click to see animation.)

Example 4: (-4) – 2 Our car still starts at 0 facing right. It then backs up 4 units because it sees the negative symbol - in front of 4.

Example 4: (-4) – 2 Our car still starts at 0 facing right. It then backs up 4 units because it sees the negative symbol - in front of 4.

Example 4: (-4) – 2 Our car still starts at 0 facing right. It then backs up 4 units because it sees the negative symbol - in front of 4.

Example 4: (-4) – 2 Our car still starts at 0 facing right. It then backs up 4 units because it sees the negative symbol - in front of 4. Now it has turn around because of the subtraction symbol –. (click to go on)

Example 4: (-4) – 2 Our car still starts at 0 facing right. It then backs up 4 units because it sees the negative symbol - in front of 4. Now it has turn around because of the subtraction symbol –.

Example 4: (-4) – 2 Our car still starts at 0 facing right. It then backs up 4 units because it sees the negative symbol - in front of 4. Now it has turn around because of the subtraction symbol –.

Example 4: (-4) – 2 Finally it moves forward by 2 units. (click to go on)

Example 4: (-4) – 2 Finally it moves forward by 2 units.

Example 4: (-4) – 2 Finally it moves forward by 2 units.

Example 4: (-4) – 2 Finally it moves forward by 2 units.

Example 4: (-4) – 2 Finally it moves forward by 2 units.

Example 4: (-4) – 2 Finally it moves forward by 2 units. The car now stops at -6, therefore the answer to (-4) – 2 is -6. Click to see the next example.

Example 5: 2 – (-3) Our car starts from 0 facing right. It then moves 2 units to the right. (Click to see animation)

Example 5: 2 – (-3) Our car starts from 0 facing right. It then moves 2 units to the right.

Example 5: 2 – (-3) Our car starts from 0 facing right. It then moves 2 units to the right.

Example 5: 2 – (-3) Our car starts from 0 facing right. It then moves 2 units to the right.

Example 5: 2 – (-3) Our car starts from 0 facing right. It then moves 2 units to the right.

Example 5: 2 – (-3) Our car starts from 0 facing right. It then moves 2 units to the right. Now the car has to turn around because it sees the subtraction sign. (Click to see the next animation)

Example 5: 2 – (-3) Our car starts from 0 facing right. It then moves 2 units to the right. Now the car has to turn around because it sees the subtraction sign.

Example 5: 2 – (-3) Our car starts from 0 facing right. It then moves 2 units to the right. Now the car has to turn around because it sees the subtraction sign.

Example 5: 2 – (-3) Our car starts from 0 facing right. It then moves 2 units to the right. Now the car has to turn around because it sees the subtraction sign. It then backs up 3 steps because it sees the negative sign. (click to see animation)

Example 5: 2 – (-3) Our car starts from 0 facing right. It then moves 2 units to the right. Now the car has to turn around because it sees the subtraction sign. It then backs up 3 steps because it sees the negative sign.

Example 5: 2 – (-3) Our car starts from 0 facing right. It then moves 2 units to the right. Now the car has to turn around because it sees the subtraction sign. It then backs up 3 steps because it sees the negative sign.

Example 5: 2 – (-3) Our car starts from 0 facing right. It then moves 2 units to the right. Now the car has to turn around because it sees the subtraction sign. It then backs up 3 steps because it sees the negative sign. Since the car stops at 5, the answer to 2 – (-3) is 5. Click to see the next example.

Example 6: (-3) – (-5) Our car starts from 0 facing right. It backs up 3 units in the beginning because it sees a - sign in front of the 3. (click to see animation)

Example 6: (-3) – (-5) Our car starts from 0 facing right. It backs up 3 units in the beginning because it sees a - sign in front of the 3.

Example 6: (-3) – (-5) Our car starts from 0 facing right. It backs up 3 units in the beginning because it sees a - sign in front of the 3.

Example 6: (-3) – (-5) Our car starts from 0 facing right. It backs up 3 units in the beginning because it sees a - sign in front of the 3.

Example 6: (-3) – (-5) Our car starts from 0 facing right. It backs up 3 units in the beginning because it sees a - sign in front of the 3.

Example 6: (-3) – (-5) Our car starts from 0 facing right. It backs up 3 units in the beginning because it sees a - sign in front of the 3. Next it has to turn around because it sees the – sign. (click to see animation)

Example 6: (-3) – (-5) Our car starts from 0 facing right. It backs up 3 units in the beginning because it sees a - sign in front of the 3. Next it has to turn around because it sees the – sign.

Example 6: (-3) – (-5) Our car starts from 0 facing right. It backs up 3 units in the beginning because it sees a - sign in front of the 3. Next it has to turn around because it sees the – sign.

Example 6: (-3) – (-5) Our car starts from 0 facing right. It backs up 3 units in the beginning because it sees a - sign in front of the 3. Next it has to turn around because it sees the – sign. Finally it has to back up 5 units because the next number is -5. (click to see animation)

Example 6: (-3) – (-5) Our car starts from 0 facing right. It backs up 3 units in the beginning because it sees a - sign in front of the 3. Next it has to turn around because it sees the – sign. Finally it has to back up 5 units because the next number is -5.

Example 6: (-3) – (-5) Our car starts from 0 facing right. It backs up 3 units in the beginning because it sees a - sign in front of the 3. Next it has to turn around because it sees the – sign. Finally it has to back up 5 units because the next number is -5.

Example 6: (-3) – (-5) Our car starts from 0 facing right. It backs up 3 units in the beginning because it sees a - sign in front of the 3. Next it has to turn around because it sees the – sign. Finally it has to back up 5 units because the next number is -5.

Example 6: (-3) – (-5) Our car starts from 0 facing right. It backs up 3 units in the beginning because it sees a - sign in front of the 3. Next it has to turn around because it sees the – sign. Finally it has to back up 5 units because the next number is -5. The answer is therefore +2. The End, thanks for watching!