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Add and subtract rational numbers
Interactive exercises
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Interactive exercises
Results
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Interactive exercises - Add and subtract rational numbers


Interactive exercises are generic, application compiles a new series of tasks each time you start.
INTERACTIVE EXERCISES
Interactive exercises: {{restit}}
Name:
Virtual keyboard:
Number of tasks: {{(plynum)}}
Difficulty: {{resdifi}}
{{$index+1}}. task
{{one.qins}}

=
=


7
8
9

4
5
6
(
)

1
2
3
+
-

0
CE
,
Correct answer

RESULT
Interactive exercises: {{restit}}
Name:
Date: {{timest * 1000 | date:'dd.MM.yyyy HH:mm:ss'}}
Num. of tasks: {{(anscor+answro)}}
Difficulty: {{resdifi}}
Correct answers: {{anscor}}
Wrong answers: {{answro}}
Efficiency: {{anscor/(anscor+answro)*100|number:0}} %
Time: {{tmdur}} s
Time per task: {{tmdur / (anscor+answro)|number:1}} s

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NUMBER OF TASKS
6
10
15
EXAMPLE OF A TASK
3/5
+ (−
1/5
) =

Add and subtract rational numbers

Image Add and subtract rational numbers
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Performance - Add and subtract rational numbers
Proportion of correct answers (in %) for the last {{chrAnum}} exercises.
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Number of completed tasks by months. One exercise usually contains 6 to 15 tasks.
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Tasks by difficulty - Add and subtract rational numbers
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Add and subtract rational numbers


The rules for adding and subtracting rational numbers.
The rule Example
+(+a) = a +(+7) = +7
+(−a) = −a +(−5) = −5
−(+a) = −a −(+9) = −9
−(−a) = +a −(−4) = +4

Add and subtract rational numbers - expression


The rules for removing parentheses
[1] When parentheses are preceded by a plus sign (+), remove the parentheses, numbers within the parentheses RETAIN the sign.

EXAMPLE
3/4
+ (−
1/8
+
1/2
) =

Remove the parentheses.
Numbers within the parentheses RETAIN the sign.
3/4
+ (
1/8
+
1/2
) =
3/4
1/8
+
1/2
=
6/8
1/8
+
4/8
=
9/8



[2] When parentheses are preceded by a minus sign (−), remove the parentheses, numbers within the parentheses CHANGE the sign.

EXAMPLE
2,5 − (6,3 − 4,1) =
Remove the parentheses.
Numbers within the parentheses CHANGE the sign.
Change 6,3 to −6,3 and −4,1 to +4,1.
2,5 − (6,25 − 4,1) =
2,5 − 6,3 + 4,1 = 0,3
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Worksheets - Add and subtract rational numbers


Create worksheets and PRINT or SAVE them. You can create unlimited number of different worksheets.

1. CHOOSE SETTINGS :: Choose the number of tasks, difficulty and type of tasks.
2. GENERATE TASKS :: Use the GENERATE button to create a new serie of tasks if you don't like the worksheet you can easily generate another.
3. CREATE PDF :: The worksheet (PDF) opens in a new tab, you can PRINT it or SAVE it to your computer.
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