Wednesday, 3 December 2014
Wednesday, 19 November 2014
Saturday, 15 November 2014
MY POEM WRITTEN IN CLASS 6
GARDEN
THE FRAGRANCE OF SWEET FLOWERS
THE TASTE OF DELICIOUS FRUITS
THE TASTE OF DELICIOUS FRUITS
ALL THESE ARE IN THE GARDEN
THE HEAVEN ON EARTH.
THE SCENE OF EVERGREEN PLANTS
THE FRESHNESS OF PURE AIR
ALL THESE ARE IN THE GARDEN
THE BEAUTY OF EARTH.
THE DANCING OF LOVELY BUTTERFLIES
THE LOVELY SONG OF BIRDS
ALL THESE ARE IN THE GARDEN
THE PRIDE OF EARTH.
THE SCENERY OF LOVELY GARDEN
IS AN UNFORGETTABLE SIGHT
WHO CAN FORGET THAT?
NO ONE IN THE EARTH!
Thursday, 13 November 2014
MY INNOVATION
GOODBYE TO LABORIOUS METHOD
My project
is a simple way to find the difference between the cubes of two consecutive integers.
If we want to find the difference between
two cubes we should do a laborious method. For example,
23³-22³= (23×23×23)-(22×22×22)
Instead of
doing all these laborious method, to calculate the difference between the cubes
of two consecutive integers we can do a simple method.
That is,
For any
consecutive integers a&b
If a>b
then,
a³-b³=3ab+1
Examples:
· 3³-2³=27-8=19
3ab+1=3×6+1=19
· 205³-204³=8615125-8489664=125461
3ab+1=3×41820+1=125461
· -100³—101³=-1000000-1030301=30301
3ab+1=3×10100+1=30301
|
For any
consecutive integers a&b
If
b>a then,
a³-b³=-(3ab+1)
|
Examples:
· 2³-3³=8-27= -19
- (3ab+1)=-(3×6+1)= -19
· -101³—100³=-1030301+100000= -30301
- (3ab+1)=-(3×10100+1)= -30301
I have also findout a simple method
to check whether the sum of two cubes is right. That is,
a²+b²=2ab+ (a-b) ²
Examples:
· 4²+2²=16+4=20
2ab+(a-b)²=2×4×2+ (4-2)²=16+4=20
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