add and subtract integers
DESCRIPTION
Add and Subtract Integers. Learning Objective: We will add and subtract positive and negative integers. Math NS 1.3. What do we already know?. Positive integers are on the right side of zero. 4 Negative integers are on the left side of zero. -4 - PowerPoint PPT PresentationTRANSCRIPT
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Add and Subtract Integers
Learning Objective: We will add and subtract positive and negative integers.
Math NS 1.3
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What do we already know?
• Positive integers are on the right side of zero. 4
• Negative integers are on the left side of zero. -4
• This means that they are opposites. -3 + 3 = 0
PositiveNegative
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5 + -2 =3
5
-2
You know how to plot an expression on the number line and find the sum.
Step 1: Plot the first integer on the number line.Step 2: Plot the second integer on the number line beginning where the last number left off.
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You know how to plot an expression on the number line and find the difference.
5 + -2=
5
-2
3
Step 1: Plot the first integer on the number line.Step 2: Plot the second integer on the number line beginning where the last number left off.
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You know how to plot an expression on the number line and find each sum.
-3 + -1 =- 4
-1 -3
Step 1: Plot the first integer on the number line.Step 2: Plot the second integer on the number line beginning where the last number left off.
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You already learned that subtracting a negative integer
gives the same solution as adding its opposite.
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Vocabulary
• Define integers: a positive or negative number.
• Define a positive integer: whole numbers to the left of zero.
• Define a negative integer: whole numbers to the right of zero.
positivenegative
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Vocabulary
Define absolute value: the distance from zero.
Plot each of the integers below on a number line and then tell the absolute value of
each. -1 2 -5
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(1) (2) (5)
-1
2-5
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You already learned that subtracting a negative integer
gives the same solution as adding its opposite.
To help predict whether the sum of two integers will be positive or
negative, you can use these rules.
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1st Variation
Is the sum of 2 and 7 positive or negative?Rule: The sum of two positive integers is positive.
2+7=
Solution: The sum of 2 and 7 is positive.
2 7
9Step 1: Change the expression to an addition by using the absolute value.Step 2: Plot the first integer on the number line.Step 3: Plot the second integer on the number line beginning where the last number left off.
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2nd Variation
Is the sum of -2 and -7 positive or negative?Rule: the sum of two negative integers is negative.
-2 + -7=
Solution: The sum of -2 and -7 is negative.
-2-7
-9Step 1: Change the expression to an addition by using the absolute value.Step 2: Plot the first integer on the number line.Step 3: Plot the second integer on the number line beginning where the last number left off.
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3rd VariationIs the sum of -2 and 7 positive or negative?
Rule: the sum of a positive integer and a negative integer will have the same sign as the integer with the greater absolute value.
-2 + 7=
Solution: The sum of -2 and 7 is positive.
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-2
7
5
Step 1: Change the expression to an addition by using the absolute value.Step 2: Plot the first integer on the number line.Step 3: Plot the second integer on the number line beginning where the last number left off.
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Why is this important?
If the temperature was 10 ー F at lunch time and dropped to -5 ー F in the evening. What is the difference between these temperatures?
10 - -5= 15 degrees
Mauricio were at the corner store. Mauricio forgot his money and needs $10 to pay for his treats. IfOmar let Mauricio borrow $10, Mauricio now has$10. - $10 + $10 = 0
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Guided Practice - I Do It
Rule: The sum of two positive integers is positive. 1 + 4=
1 4
5
Step 1: Change the expression to an addition by using the absolute value.Step 2: Plot the first integer on the number line.Step 3: Plot the second integer on the number line beginning where the last number left off.
Solution: The sum of 1 and 4 is positive.
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Guided Practice - We Do It
Rule: The sum of two positive integers is positive. 5 + 3=
5 3
8
Step 1: Change the expression to an addition by using the absolute value.Step 2: Plot the first integer on the number line.Step 3: Plot the second integer on the number line beginning where the last number left off.
Solution: The sum of 5 and 3 is positive.
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Guided Practice - You Do It
Rule: The sum of two positive integers is positive. 7 + 3=
7 3
10
Step 1: Change the expression to an addition by using the absolute value.Step 2: Plot the first integer on the number line.Step 3: Plot the second integer on the number line beginning where the last number left off.
Solution: The sum of 7 and 3 is positive.
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Guided Practice - I Do It
Rule: the sum of two negative integers is negative.
-2 + -3=
-2-3
-5 Step 1: Change the expression to an addition by using the absolute value.Step 2: Plot the first integer on the number line.Step 3: Plot the second integer on the number line beginning where the last number left off.
Solution: The sum of -2 and -3 is negative.
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Guided Practice - We Do It
Rule: the sum of two negative integers is negative.
-1 + -4=
-1-4
-5Step 1: Change the expression to an addition by using the absolute value.Step 2: Plot the first integer on the number line.Step 3: Plot the second integer on the number line beginning where the last number left off.
Solution: The sum of -1 and -4 is negative.
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Guided Practice - You Do It
Rule: the sum of two negative integers is negative.
-4 + -6=
-4-6
-10Step 1: Change the expression to an addition by using the absolute value.Step 2: Plot the first integer on the number line.Step 3: Plot the second integer on the number line beginning where the last number left off.
Solution: The sum of -6 and- 4 is negative.
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Guided Practice - I Do It
Rule: the sum of a positive integer and a negative integer willhave the same sign as the integer with the greater absolute value. 4 - -2= 4 + 2=
6
4 2
Step 1: Change the expression to an addition by using the absolute value.Step 2: Plot the first integer on the number line.Step 3: Plot the second integer on the number line beginning where the last number left off.
Solution: The difference of 4 and -2 is positive.
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Guided Practice - We Do It
Rule: the sum of a positive integer and a negative integer will have the same sign as the integer with the greater absolute value. 4 - -6=
4 + 6=
4 6
10Step 1: Change the expression to an addition by using the absolute value.Step 2: Plot the first integer on the number line.Step 3: Plot the second integer on the number line beginning where the last number left off.
Solution: The difference of 4 and -6 is positive.
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Guided Practice - You Do It
Rule: the sum of a positive integer and a negative integer will have the same sign as the integer with the greater absolute value. 3 - -7=
3 + 7 =
3 7
Step 1: Change the expression to an addition by using the absolute value.Step 2: Plot the first integer on the number line.Step 3: Plot the second integer on the number line beginning where the last number left off.
Solution: The difference of 3 and -7 is positive.
10
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Closure• What is a whole number to the right of zero? • It is a positive integer.
• What is a whole number to the left of zero?• It is a negative integer
• What is the distance from zero?• It is the absolute value.
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Negative Positive
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Closure
Decide if the sum or difference is positive or negative.
Explain how you decided.
Solve the expression.
-10 + -6 = 8 - -6=
Share with your partner one thing that you learned today.
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QuickTime™ and a decompressor
are needed to see this picture.
Step 1: Change the expression to an addition by using the absolute value.Step 2: Plot the first integer on the number line.Step 3: Plot the second integer on the number line beginning where the last number left off.