Integer Rules Tutorial

1
Integer Rules Tutorial

• Add Subtract Multiply Divide

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2
Integer Rules for Addition

• If two Integers have the same sign
• Keep the sign and add the numbers!
• -3 (-7) -10
• 4 9 13

Exit
Previous Next
3
Integer Rules for Addition

• If two Integers have different signs
• Subtract the two numbers and keep the sign of the
  number with the highest absolute value!
• -3 7 4
• 15 (-9) 6
• -7 2 -5

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Previous Next
4
You try now!

• Will the answer be positive or negative?
• -7 10
• Positive Negative

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Previous
5
OOPS!

• 10 is greater than 7 and 10 is positive. So, the
  answer would be positive.

Exit
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6
YES!

• You are RIGHT! The answer would be positive!

Exit
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7

• 14 (-20)
• Which has the bigger absolute value?
• 14 20

Exit
8

• No, 20 is bigger than 14.

Exit
Previous
9
Yes!

• So, would the answer be positive or negative?
• 14 (-20)
• Positive Negative

Exit
10

• No, the answer is negative because 20 is negative.

Exit
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11
Yes!!

• You are correct!

Exit
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12

• -6 2
• Which has the highest absolute value?
• 6 2

Exit
13

• No, 2 is not bigger than 6.

Exit
Previous
14

• Yes, 6 is bigger than 2!
• Would the answer be positive or negative?
• -6 2
• Positive Negative

Exit
15

• No,
• 6 is bigger than 2 and the 6 is negative.

Previous Next
Exit
16
Yes!

• Great job!

Exit
Next
17

• If the two numbers have the same sign, add the
  numbers and keep the sign.
• If the two numbers have different signs,
  subtract. Then, take the sign of the number with
  the highest absolute value.

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Next
18
67 (-29)

• Would the answer be
• Positive Negative

Exit
Previous
19
No.

• 67 is bigger than 29 and it is positive.

Exit
Previous Next
20
Yes!

• You are doing a great job!

Exit
Previous Next
21
-3 (-9)

• Would the answer be
• Positive Negative

Exit
22
No.

• Both numbers are negative so the answer will
  remain negative.

Exit
Previous Next
23
Yes!

• Wow, you are getting this!

Exit
Previous Next
24
-82 (-10)

• Would the answer be
• Positive Negative

Exit
25
No.

• Both numbers are negative so the answer is
  negative.

Exit
Previous Next
26
YES!!

• The answer would be negative!

Exit
Previous Next
27

• Now, decide if you should add or subtract.
• 14 21
• Add Subtract

Exit
28
Yes!

• Both are positive so you would add!
• Wonderful job!

Exit
Previous Next
29
No.

• Both numbers are positive so you add.

Exit
Previous
Review Rules
30

• If the numbers have the same sign, add.
• -3 (-7)
• 4 2
• If the numbers have different signs, subtract.
• 5 (-7)
• -9 3

Exit
Try Again
31

• -4 (-8)
• Same sign?
• Yes No

Exit
32

• Look again
• -4 (-8)
• Four is negative and eight is negative.
• They have the same sign.

Next
Exit
33

• They have the same sign, so you will
• Add Subtract

Exit
34
Yes!

• You would add and keep the sign!

Next
Exit
35
No.

• Four and eight are both negative.
• They have the same sign so you add.

Next
Exit
36
-17 12

• Do you
• Add Subtract

Exit
37
Yes!

• GREAT job!

Previous Next
Exit
38
No.

• 17 is negative and 20 is positive.
• They have different signs so you subtract the
  numbers.

Exit
Next
39
Subtracting Integers

• When subtracting Integers, look at each term and
  determine if it is positive or negative.
• Then, follow the Integer rules for addition!

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40
-3 7

• The first term is -3.
• The second term is -7.
• Remember the subtraction sign is also a negative
  sign!

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-3 7

• Both terms are negative.
• Now, follow the Integer rules for addition!
• Same sign, so you
• Add Subtract

Exit
42

• You are absolutely
• RIGHT!
• Way to go!

Next
Exit
43
No.

• You do not subtract because the two terms have
  the same sign.
• They are both negative, so you add the numbers
  and keep the sign.

Exit
Previous Next
44
14 - 24

• Do you
• Add Subtract

Exit
45
No.

• 14 is positive and 24 is negative.
• They have different signs, so you subtract.

Previous Next
Exit
46
Yes!

• You subtract since the two numbers have different
  signs!

Exit
Previous Next
47

• When you are subtracting a negative number, you
  must distribute the negative sign FIRST!
• -3 (-10) becomes
• -3 10
• Next, follow the Integer rules for addition.

Exit
Next
48

• 7 (-29)
• Becomes
• 7 29 7 29

Exit
Previous
49
No.

• After distributing the negative sign, the problem
  becomes 7 29.

Exit
Previous Next
50
Yes!

• Great job!

Exit
Next
51

• 19 45
• Add Subtract

Exit
52

• Yes! You subtract!
• Now, would the answer be positive or negative?
• 19 45
• Positive Negative

Exit
Previous
53

• YES!

Exit
Next
54
No.

• 45 is bigger than 19 and it is negative.

Exit
Next
55
No.

• 19 is positive and 45 is negative. They have
  different signs, so you subtract.

Exit
Return to problem
56

• -17 25
• Add Subtract
  Distribute

Exit
57
YES!!!

• -17 25
• The answer will be
• Positive Negative

Exit
Previous
58
No.

• The two terms are both negative, so you will add
  them together.
• -17 25
• Will the answer be
• Positive Negative

Exit
Previous
59
No.

• There is nothing to distribute. Both terms are
  negative so you add.
• -17 25
• Will the answer be
• Positive Negative

Exit
Previous
60
Yes!

• The answer is negative since both terms are
  negative!

Exit
Next
61
No.

• The terms have the same sign (theyre negative)
  so you keep the sign.
• The answer would be negative.

Exit
Next
62
Integers Rules for Multiplication and Division

• The rules for multiplication and division are the
  same
• If both numbers have the same sign, the answer is
  positive.
• If both numbers have different signs, the answer
  is negative.

Previous Next
Exit
63
(-8)(-2)

• Would the product be
• Positive Negative

Exit
Previous
64
YES!

• The product of (-8)(-2) is positive because both
  terms are the same sign.

Exit
Previous Next
65
No.

• The two terms are the same sign so the answer
  would be positive.

Exit
Previous
66
(9)(-3)

• Would the product be
• Positive Negative

Exit
67
No.

• The terms each have different signs, so the
  product is negative.

Previous
Exit
68
Yes!

• 9 is positive and 3 is negative. The two terms
  have different signs so the product is negative!
• Great job!

Next
Exit
69

• -15 / 3
• Would the quotient be
• Positive Negative

Exit
70

• No, the quotient would be negative.
• Lets review.

Exit
71

• If two terms have the same sign, the answer is
  positive.
• (-8)(-5) -18 / -3
• If two terms have different signs, the answer is
  negative.
• (9)(-3) -50 / 10

Next
Exit
72
Excellent!

• The terms have different signs, so the quotient
  is negative!

Exit
Next
73

• (-7)(8)
• Positive Negative

Exit
74
No.

• The terms have different signs, so the product
  will be negative.

Previous
Exit
75
Yes!

• Fantastic!

Previous Next
Exit
76

• -99 / 11
• Positive Negative

Exit
77
No.

• The two terms have different signs, so the
  quotient is negative.

Exit
Previous Next
78
Yes!

• The quotient is negative!
• WONDERFUL!

Previous Next
Exit
79
You have completed the Integer Rule tutorial!
Congratulations!
Retake Tutorial
80

• You have exited the tutorial. When you are
  ready, you may start the tutorial again at the
  beginning.

Start Tutorial
81
Integer Rules for Addition

• If two Integers have the same sign
• Keep the sign and add the numbers!
• -3 (-7) -10
• 4 9 13

Next
Exit
82
If two Integers have different signs

• Subtract the two numbers and keep the sign of the
  number with the highest absolute value!
• -3 7 4
• 15 (-9) 6
• -7 2 -5

Exit
Return to Subtracting Integers
83
Integer Rules for Addition

• If two Integers have the same sign
• Keep the sign and add the numbers!
• -3 (-7) -10
• 4 9 13

Exit
Next
84
If two Integers have different signs

• Subtract the two numbers and keep the sign of the
  number with the highest absolute value!
• -3 7 4
• 15 (-9) 6
• -7 2 -5

Exit
Return to Subtracting Integers
85
Integers Rules for Multiplication and Division

• The rules for multiplication and division are the
  same
• If both numbers have the same sign, the answer is
  positive.
• If both numbers have different signs, the answer
  is negative.

Exit
Previous Next
86
-56 / -8

• Would the quotient be
• Positive Negative

Exit
87
Absolutely!!!!

• The answer is negative!
• Way to GOOO!!!

Exit
Next
88
Oops.

• The answer is POSITIVE because there is one
  negative and one positive number.

Previous Next
Exit
89
60 / -5

• Would the quotient be
• Positive Negative

Exit
90
You are RIGHT!

• The quotient is negative!
• You rock!

Next
Exit
91
No.

• The quotient is negative because the numbers have
  different signs.

Exit
Next
92
Absolute Value

• Absolute Value is the distance of a number from
  ZERO on the number line.
• -7 7
• 43 43
• -176 176
• The Absolute Value is always POSITIVE.
• Unless there is a negative sign in front of the
  absolute value symbol!

Return
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Absolute Value

• Absolute Value is the distance of a number from
  ZERO on the number line.
• -7 7
• 43 43
• -176 176
• The Absolute Value is always POSITIVE.
• Unless there is a negative sign in front of the
  absolute value symbol!

Return