Transcript Closure 3-5

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Internalizing
The Closure Property
Grades 3 – 5
© 2012 Math as a Second Language
All Rights Reserved
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To the Teacher
Remind the students of the Closure Property.
The Closure Property For Addition
If a and b are whole numbers, then a + b
is also a whole number.
The Closure Property For Multiplication
If a and b are whole numbers, then a × b
is also a whole number.
© Math As A Second Language
All Rights Reserved
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To the Teacher
Have the students decide if each
answer to the following problems is a
whole number.
The students should recognize that
addition and multiplication of whole
numbers always produces a whole
number answer, but subtraction and
division do not.
© Math As A Second Language
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Directions
Decide if each of the following problems
produces a whole number answer.
Click on true or false.
Then click on the next button to continue.
© Math As A Second Language
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3 + 5 produces a whole
number.
True False
Terrific
3+5=8
(a whole number)
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Sorry
3+5=8
(a whole number)
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5 – 3 produces a whole
number.
True
False
Great
5–3=2
(a whole number)
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Sorry
5–3=2
(a whole number)
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3 – 5 produces a whole
number.
True
False
Wonderful
3–5=
-2
(not a whole number)
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Sorry
3–5=
-2
(not a whole number)
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12 + 18 produces a whole
number.
True False
Terrific
12 + 18 = 30
(a whole number)
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Sorry
12 + 18 = 30
(a whole number)
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5 × 7 produces a whole
number.
True False
Fantastic
5 × 7 = 35
(a whole number)
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Sorry
5 × 7 = 35
(a whole number)
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28 ÷ 7 produces a whole
number.
True False
Very Nice
28 ÷ 7 = 4
(a whole number)
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Sorry
28 ÷ 7 = 4
(a whole number)
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31 ÷ 5 produces a whole
number.
True False
Very Nice
31 ÷ 5 =
1
6 /5
(not a whole number)
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Sorry
31 ÷ 5 =
1
6 /5
(not a whole number)
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40 ÷ 10 produces a whole
number.
True False
Very Nice
40 ÷ 10 = 4
(a whole number)
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Sorry
40 ÷ 10 = 4
(a whole number)
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145 – 83 produces a
whole number.
True
False
Wonderful
145 – 83 = 62
(a whole number)
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Sorry
145 – 83 = 62
(a whole number)
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25 × 12 produces a whole
number.
True False
Fantastic
5 × 7 = 35
(a whole number)
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Sorry
5 × 7 = 35
(a whole number)
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45 – 73 produces a whole
number.
True
False
Great
45 – 73 =
-28
(not a whole number)
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Sorry
45 – 73 =
-28
(not a whole number)
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5 ÷ 2 produces a whole
number.
True False
Very Nice
5÷2=
1
2 /2
(not a whole number)
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Sorry
5÷2=
1
2 /2
(not a whole number)
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Closing Reminder
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Adding two whole numbers always
gives a whole number answer.
Multiplying two whole numbers always
gives a whole number answer.
Subtracting two whole numbers does not
always give a whole number answer.
Dividing two whole numbers does not
always give a whole number answer.