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Rational Numbers
The following figures GUNS and RUNS are parallelograms. Find x and y. (Lengths are in cm.)
(i) ∵ GUNS is a parallelogram
∴ Its opposite sides are equal
∴ GS = NU and SN = GU
or 3x = 18 and 26 = 3y-1
Now 3x = 18
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The reciprocal of –5 is ______.
The reciprocal of 1/x, where x # 0 is
The product of two rational numbers is always a ___________.
The reciprocal of a positive rational number is _________.
Complete the following table:
Numbers |
Commutative for |
|||
Addition |
Subtraction |
Multiplication |
Division |
|
Rational numbers |
Yes |
... |
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Integers |
No |
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Whole numbers |
Yes |
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Natural numbers |
No |
Complete the following table:
Numbers |
Associative for |
|||
Addition |
Subtraction |
Multiplication |
Division |
|
Rational numbers |
No |
|||
Integers |
Yes |
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Whole numbers |
Yes |
|||
Natural numbers |
No |
If a property holds for rational numbers, will it also hold for integers? For whole Numbers? Which will? Which will not?
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