Maths Form 2 Chapter 1

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Maths Form 2 : Chapter 1 : Directed NumbersThis note from SCORE A NOTES

M!"T#$"#CAT#ON AND D#%#S#ON OF #NTE&ERS

'A( Mu)tip)*in+ inte+ers

1. The product of multiplication between two integers with the samesignis positive. If two integers have different signs, the product of themultiplication is negative.


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2. If zero is multiplied by any integer, the product is alwayszero.For example,

! x ! " !

',( So)-in+ prob)ems in-o)-in+ mu)tip)ication of inte+ers


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'C( Di-idin+ inte+er

1. The #uotient of division between two integers with the same signispositive. Iftwo integers have different signs, then the #uotient of the division is negative.

2. If zero divided by any integer $except zero%, the #uotient is zero.For example &

! ' 1! " !(. )ny integer divided by zero is undefined.For example&


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* ' ! " undefined

'D( So)-in+ prob)ems in-o)-in+ di-ision of inte+ers

COM,#NED O$ERAT#ONS ON #NTE&ERS'A( $erformin+ computations in-o)-in+ combinedoperations on inte+ers1. +ombined operations involve more than one operation on integers are alsonown as mixed operations.

2. For combined operations involving- - and - / - or - x - and - ' -, wor thecalculations from left to right following the order given.


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',( So)-in+ prob)ems in-o)-in+ combined operations on inte+ers

$OS#T#%E AND NE&AT#%E FRACT#ONS

'A( Comparin+ and orderin+ fractions


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',( Computations #n-o)-in+ Addition. Subtraction. Mu)tip)ication andDi-ision of T/o Fractions

The same rule used for adding and subtracting integers is used in the addition andsubtraction of positive and negative fractions.


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0ultiplication of positive and negative fractions is similar to the multiplication ofintegers.


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$OS#T#%E AND NE&AT#%E DEC#MA"S'A( Comparin+ and orderin+ decima)s


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',( Addin+ and Subtractin+ Decima)s

The same rule used in adding and subtracting integers is used in the addition andsubtraction of positive decimal.

'C( Mu)tip)*in+ and Di-idin+ Decima)sThe same rule used in multiplying and dividing integers is used in themultiplication and division of positive and negative decimals.


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COM$!TAT#ONS #N%O"%#N& D#RECTED N!M,ERS'#NTE&ERS. FRACT#ONS AND DEC#MA"S(

'A( Addition. Subtraction. Mu)tip)ication and Di-ision #n-o)-in+ T/oDirected Numbers

+alculations involving two directed numbers with any operations are the same asthat for integers, fractions and decimals.


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',( Combined Operations of Addition. Subtration. Mu)tip)ication andDi-ision of $ositi-e and Ne+ati-e #nte+ers

For computations involving the use of bracets and combined operations ofaddition, subtraction, multiplication and division on positive and negativenumbers, calculate according to the following order.

1. The bracets $ %

2. -of- $which means x%

(. ' and / $from left to right%

. and / $from left to right%


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'C( Combined Operations of Addition. Subtraction. Mu)tip)ication and

Di-ision of $ositi-e and Ne+ati-e Fractions


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'd( Combined Operations on $ositi-e and Ne+ati-e Decima)s


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'e( Combined Operations on Directed Numbers


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'f( So)-in+ $rob)ems #n-o)-in+ Directed Numbers


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Maths Form 2 Chapter 1