subtracting positive and negative integers
DESCRIPTION
Subtracting Positive and Negative Integers. WARM-UP:. 1.)(-5) + (-26) = 2.)(-18) + 7 = 3.)Write a variable expression for: r less than 12 4.) -40 + 9 = 5.)4 + (-36) =. Let's review what we learned in the last lesson. - PowerPoint PPT PresentationTRANSCRIPT
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Subtracting Positive and Negative Integers
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WARM-UP:
1.) (-5) + (-26) =
2.) (-18) + 7 =
3.) Write a variable expression for: r less than 12
4.) -40 + 9 =
5.) 4 + (-36) =
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Let's review what we learned in the last lesson.
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TODAY we will be studying 2 methods to learn how to subtract integers.
METHOD 1 - Zero Pairs
Remember that the red chips are NEGATIVE.
The grey chips are POSITIVE.
+
+
+-
--
--
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Let's subtract 6 - 2 =
We begin with 6 POSITIVE (grey) chips.
+
+
++
+ +
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Let's subtract 6 - 2 =
+
+
++
+ +
Then we take away (or Subtract) 2 POSITIVE chips.
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++
+ +
We are left with 4 POSITIVE (Grey) chips.
So..... 6 - 2 = 4
Let's subtract 6 - 2 =
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Now, let's subtract (-5) - (-4) =
We begin with 5 NEGATIVE (or red) chips.
- -
- -
-
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Now, let's subtract (-5) - (-4) =
- -
-
--
Then, we take away (or Subtract) 4 NEGATIVE chips.
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Now, let's subtract (-5) - (-4) =
-
And we are left with 1 NEGATIVE (red) chip.
Therefore, (-5) - (-4) = -1
Do you have any questions so far?
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SOMETIMES we need to add Zero Pairs in order to subtract or take away chips.
For example, let's subtract 5 - (-3) =
We begin with 5 POSITIVE (grey) chips.
+ + + + +
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5 - (-3) =
We begin with 5 POSITIVE (grey) chips.++
+ +
Now, we need to take away (or Subtract) 3 NEGATIVE (red) chips but we don't have any!!
So we must ADD 3 Zero Pairs...............
- - -
+++
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+
+
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++++ +
- - -
+++Now, we can take away (or Subtract) the 3 NEGATIVE (red) chips.
And we are left with 8 POSITIVE (grey) chips.
Therefore, 5 - (-3) = 8
5 - (-3) =
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You try this one…
(-4) - 1 =
Use your pen to draw the red and grey circles.
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Try 4 - (-2) =
Use your pen to draw the red and grey circles.
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METHOD 2 - Rule for Subtracting Integers
When we subtract an integer, we add its opposite.
For example, (-10) - 7 =
(-10) + (-7) = (-17)
we add its opposite
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Of course, if we are going to ADD its opposite, we must remember the rules for ADDING INTEGERS.
Adding Different Signs -
1. Find the absolute value of the 2 numbers.2. Subtract the smaller number from the larger number.3. Take the sign of the larger number for your answer.
Adding the Same Sign -
The sum of 2 positive numbers is POSITIVE.The sum of 2 negative numbers is NEGATIVE.
LET'S REVIEW
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Let's try a few more subtraction problems. Remember the RULE -
When we subtract an integer, we add its opposite.
9 - (-6) =
9 + 6 = 15
we add its opposite
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You try a few.
(-4) - (-4) = (-2) - 8 = 12 - (-3) =
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1.) Can you find the missing numbers?
-32 + = 65
47 - = 80
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2.)Anne is 8 years older than Jane and 3 yearsolder than Mary. The sum of their ages is 67.How old is each person?
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3.) Use these digits (4, 7, 9) to make as many 3 digit numbers as possible. You may only use each digit only one time in each number.
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Let's see how well you understood the lesson today.
Find each difference.
1.) -13 - 13 =
2.) 9 - (-8) =
3.) 28 - 16 =
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4.) 12 - 15 =
5.) 0 - (-47) =
6.) -190 - 82 =
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7.) (-12) - (-26) =
8.) 4 - (-60) =
9.) 22 - 38 =
10.) (-109) - 10 =
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Let's review what we learned today.
We looked at 2 different methods for SUBTRACTING integers.
METHOD 1 - Using Zero Pairs
+
-
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SOMETIMES we need to add Zero Pairs in order to subtract or take away chips.
3 - (-1) =
Begin with 3 POSITIVE chips
Add 1 ZERO PAIR
Now we can take away 1 NEGATIVE chip
And you're left with 4 POSITIVE chips
3 - (-1) = 4
+
+
++
-
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Great job today!
Remember to practice what you learned!