Adding Integers with the Same Sign Warm Up

  • Slides: 10
Download presentation
Adding Integers with the Same Sign

Adding Integers with the Same Sign

Warm Up Write the integer for each situation. 1. 2. 3. 4. An elevator

Warm Up Write the integer for each situation. 1. 2. 3. 4. An elevator ride down 27 stories A $700. 00 profit 46 degrees below zero A gain of 12 yards Find the sum or difference. 5. 183 + 78 = 6. 1188 + 902 = 7. 677 – 288 = 8. 2647 – 1885 =

• Suppose the temperature is -1◦F and drops by 3◦F? Explain how to

• Suppose the temperature is -1◦F and drops by 3◦F? Explain how to use the number line to find the new temperature. • How would using a number line to find the sum 2 + 5 be different from using a number line to find the sum -2 + (-5)? • Can you find two different negative integers that have the same sum as -2 + (-5)?

Adding Integers with a Common Sign • When adding integers with the same sign,

Adding Integers with a Common Sign • When adding integers with the same sign, add the absolute values of the integers and use the sign of the integers for the sum. • Absolute value refers to the integer’s distance from zero on a number line. • Positive integers are always to the right of zero and negative integers are always to the left of zero.

Opposites Integers that have the same absolute value, but different signs, are known as

Opposites Integers that have the same absolute value, but different signs, are known as opposites. They have the same distance from zero, but they are in opposite directions. Example: 5 and (-5) -15 -10 -5 0 5 10 Both integers are five units from zero on the number line. 15

Can we use the same method to add two positive integers?

Can we use the same method to add two positive integers?

Commutative Property The commutative property for addition allows us to add integers in any

Commutative Property The commutative property for addition allows us to add integers in any order, if and only if the operational sign stays the same throughout the expression. 7+6=6+7 13 = 13 3+5+4=5+4+3 12 = 12 Does this property work for adding two negative integers?

Challenge Time 1. Choose any two negative integers. 2. Is the sum of the

Challenge Time 1. Choose any two negative integers. 2. Is the sum of the integers less than or greater than the value of either of the integers? 3. Will this be true no matter which two intgers we choose? Explain.

Adding Integers Adding Integers with the Same SignAdding Integers Adding Integers with the Same Sign
Adding Integers Subtracting Integers Multiplying Integers Dividing IntegersAdding Integers Subtracting Integers Multiplying Integers Dividing Integers
Adding Integers Subtracting Integers Multiplying Integers Dividing IntegersAdding Integers Subtracting Integers Multiplying Integers Dividing Integers
Adding Integers Adding Integers Assume there is aAdding Integers Adding Integers Assume there is a
Adding Integers Unit 1 Lesson 6 Adding IntegersAdding Integers Unit 1 Lesson 6 Adding Integers
Adding and Subtracting Integers When adding integers rememberAdding and Subtracting Integers When adding integers remember
Adding Integers 40 Adding Integers on a NumberAdding Integers 40 Adding Integers on a Number
ADDING INTEGERS SAME SIGNS SAME signs keep theADDING INTEGERS SAME SIGNS SAME signs keep the
ADDING INTEGERS SAME SIGNS SAME signs keep theADDING INTEGERS SAME SIGNS SAME signs keep the