13 Jul 2011

World’s Top Waterfalls by Height and its Location

WaterfallHeight in meterHeight in FeetLocation
979 m3,212 feetCanaima National Park, Bolívar, Venezuela
Tugela Falls948 m3,110 feetKwaZulu-Natal, South Africa
Cataratas las Tres Hermanas914 m3,000 feetAyacucho, Peru
Olo’upena Falls900 m2,953 feetMolokai, Hawaii, United States
Catarata Yumbilla896 m2,938 feetAmazonas, Peru
Vinnufossen860 m2,822 feetMøre Og Romsdal, Norway
Balåifossen850 m2,788 feetHordaland, Norway
Pu’uka’oku Falls840 m2,756 feetHawaii, United States
James Bruce Falls840 m2,755 feetBritish Columbia, Canada
Browne Falls836 m2,744 feetSouth Island, New Zealand
Strupenfossen820 m2,690 feetSogn Og Fjordane, Norway
Ramnefjellsfossen818 m2,685 feetSogn Og Fjordane, Norway
Waihilau Falls792 m2,600 feetHawaii, United States
Colonial Creek Falls788 m2,584 feetWashington, United States
Mongefossen773 m2,535 feetMøre og Romsdal, Norway
Catarata Gocta771 m2,531 feetAmazonas, Peru
Mutarazi Falls762 m2,499 feetManicaland, Zimbabwe
Kjelfossen755 m2,477 feetSogn Og Fjordane, Norway
Johannesburg Falls751 m2,465 feetWashington, USA
Yosemite Falls739 m2,425 feetCalifornia, USA
Cascades de Trou de Fer725 m2,380 feetCirque de Salazie, Réunion
Ølmåafossen720 m2,362 feetMøre Og Romsdal, Norway
Mana’wai’nui Falls719 m2,360 feetHawaii, USA
Kjeragfossen715 m2,345 feetRogaland, Norway
Avalanche Basin Falls707 m2,320 feetMontana, USA
Harrison Basin Falls707 m2,320 feetMontana, USA
Haloku Falls700 m2,297 feetHawaii, USA
Lake Chamberlain Falls700 m2,297 feetSouth Island, New Zealand
Alfred Creek Falls700 m2,296 feetBritish Columbia, Canada
Døntefossen700 m2,296 feetMøre Og Romsdal, Norway
Brufossen698 m2,289 feetHordaland, Norway
Spirefossen690 m2,264 feetSogn Og Fjordane, Norway
Lake Unknown Falls680 m2,230 feetSouth Island, New Zealand
Kukenaam, Salto674 m2,211 feetBolívar, Venezuela
Yutaj, Salto671 m2,200 feetAmazonas, Venezuela

21 Jun 2011

fractions!

Fraction is part of a whole. The following illustrate the concept;The figure has 4 parts and only 1 part of the figure is shaded.

fractions-image

fractions-image

Now, suppose you go to Domino's pizza, you may order a medium pizza. If your pizza has 8 slices and you did not eat the whole pizza, this means that you only ate parts of the whole pizza.

Let's say you don't have a big appetite and eat only 2 out of those 8 slices. The following figure illustrate the situation

Pizza-image

we write 2/8 and we call 2 the numerator and we call 8 the denominator.

fractions-image

Notice that a (/) can also be used to separate the numerator with the denominator.

The expression 2/8 can also mean 2 divided by 8. If you use a calculator, the answer will be 0.25 and 0.25 is a decimal. Don't worry about this now. I will teach you decimals in a different unit.

Common sense also tells us that if we eat 2 slices and there are 8 slices, well, we ate only one-fourth of the pizza.

How can we write one-fourth with a numerator and a denominator? May be you know already! If you don't, try the following:

You make 4 piles with your slices with each pile having 2 slices.

fractions-image

Eating 2 slices out 8 is the same as eating 1 pile out of those 4 piles. We can then write 1/4, which is also equal to 0.25 or 2/8

There is something interesting about 1/4 and 2/8.Although they both have different numerators and denominators, they are both equal.

We call 1/4 and 2/8 equivalent fractions.

Other examples are:

1/2 and 5/10

1/3 and 4/12

2/5 and 4/10

Notice that to get from 1/4 to 2/8, all we need to do is to multiply both numerator and denominator by the same number that is 2.

In the same way, to get from 1/2 to 5/10, we can multiply both numerator and denominator by 5.

2/8 and 5/10 are called higher terms. Be careful! It is not because 2/8 is bigger than 1/4 and 5/10 is bigger than 1/2.

Compared to 1/2, 5/10 is a higher term only because it has a bigger numerator and a bigger denominator. However, we saw before that 1/2= 5/10 = 0.5

Notice too that you can go from a higher term to a lower term. For instance, to bring 5/10 to a lower term, all you need to do is to divide both numerator and denominator by 5. You will get 1/2

Going from higher terms to lower terms means that you are simplifying. To get the simplest form, divide the numerator and the denominator by the largest number that divides into both evenly.

For instance, to bring 10/40 to its simplest from, divide both 10 and 40 by 10. You will get 1/4.

Adverbs: Comparative & Superlative

Rule

In general, comparative and superlative forms of adverbs are the same as for adjectives:
  • add -er or -est to short adverbs:
Adverb Comparative Superlative
hard
late
fast
harder
later
faster
the hardest
the latest
the fastest

Example:

  • Jim works harder than his brother.
  • Everyone in the race ran fast, but John ran the fastest of all.

Rule

With adverbs ending in -ly, use more for the comparative and most for the superlative:
Adverb Comparative Superlative
quietly
slowly
seriously
more quietly
more slowly
more seriously
most quietly
most slowly
most seriously

Example:

  • The teacher spoke more slowly to help us to understand.
  • Could you sing more quietly please?

Rule

Some adverbs have irregular comparative forms:

Adverb Comparative Superlative
badly
far
little
well
worse
farther/further
less
better
worst
farthest/furthest
least
best

Example:

  • The little boy ran further than his friends.
  • You're driving worse today than yesterday !
BE CAREFUL! Sometimes 'most' can mean 'very':
  • We were most grateful for your help
  • I am most impressed by this application.

ADVERBS: How adverbs are formed

Rules

1. In most cases, an adverb is formed by adding '-ly' to an adjective:
Adjective Adverb
cheap
quick
slow
cheaply
quickly
slowly

Examples:

  • Time goes quickly.
  • He walked slowly to the door.
  • She certainly had an interesting life.
  • He carefully picked up the sleeping child.

Rules

If the adjective ends in '-y', replace the 'y' with 'i' and add '-ly':
Adjective Adverb
easy
angry
happy
lucky
easily
angrily
happily
luckily
If the adjective ends in -'able', '-ible', or '-le', replace the '-e' with '-y':
Adjective Adverb
probable
terrible
gentle
probably
terribly
gently
If the adjective ends in '-ic', add '-ally':
Adjective Adverb
basic
economic
tragic
basically
economically
tragically
Note: Exception: public - publicly
2. Some adverbs have the same form as the adjective:
Adjective and Adverb
early
fast
hard
high
late
near
straight
wrong
Compare:
  • It is a fast car.
  • He drives very fast.
  • This is a hard exercise.
  • He works hard.
  • We saw many high buildings.
  • The bird flew high in the sky.
3. 'Well' and 'good'
'Well' is the adverb that corresponds to the adjective 'good'.

Examples:

  • He is a good student.
  • He studies well.
  • She is a good pianist.
  • She plays the piano well.
  • They are good swimmers.
  • They swim well.

ADVERBS - FUNCTION

Adverbs modify, or tell us more about other words, usually verbs:

Examples

  • The bus moved slowly.
  • The bears ate greedily.
Sometimes they tell us more about adjectives:

Examples

  • You look absolutely fabulous!
They can also modify other adverbs:

Examples

  • She played the violin extremely well.
  • You're speaking too quietly.

17 Jun 2011

Common Adjectives Table

Appearance Condition  
adorable
alert
average
beautiful
blonde
bloody
blushing
bright
clean
clear
cloudy
colourful
concerned
crowded
curious
cute
dark
dirty
drab
distinct
dull
elegant
fancy
filthy
glamorous
gleaming
graceful
grotesque
homely
light
misty
motionless
muddy
plain
poised
quaint
scary
shiny
smoggy
sparkling
spotless
stormy
strange
ugly
unsightly
unusual
alive
brainy
broken
busy
careful
cautious
clever
crazy
damaged
dead
difficult
easy
fake
false
famous
forward
fragile
guilty
helpful
helpless
important
impossible
infamous
innocent
inquisitive
mad
modern
open
outgoing
outstanding
poor
powerful
puzzled
real
rich
right
robust
sane
scary
shy
sleepy
stupid
super
tame
thick
tired
wild
wrong
 
Feelings - negative Feelings - neutral Feelings - positive
afraid
angry
annoyed
anxious
arrogant
ashamed
awful
bad
bewildered
bored
concerned
condemned
confused
creepy
cruel
dangerous
defeated
defiant
depressed
disgusted
disturbed
doubtful
eerie
embarrassed
envious
evil
fierce
foolish
frantic
frightened
grieving
guilty
helpless
hungry
hurt
ill
jealous
lonely
mad
naughty
nervous
obnoxious
outrageous
panicky
repulsive
safe
scared
shy
sleepy
sore
strange
tense
terrible
tired
troubled
unusual
upset
uptight
weary
wicked
worried

alright
calm
different
fair
fine
OK
pleasant
puzzled
agreeable
alert
amused
brave
bright
charming
cheerful
comfortable
cooperative
courageous
delightful
determined
eager
elated
enchanting
encouraging
energetic
enthusiastic
excited
exuberant
faithful
fantastic
friendly
frowning
funny
gentle
glorious
good
happy
healthy
helpful
hilarious
innocent
jolly
kind
lively
lovely
lucky
obedient
perfect
proud
relaxed
relieved
silly
smiling
splendid
successful
thoughtful
victorious
vivacious
well
witty
wonderful
Shape Size Sound
broad
crooked
curved
deep
even
flat
hilly
jagged
round
shallow
square
steep
straight
thick
thin
triangular
uneven
average
big
fat
gigantic
huge
large
little
long
massive
medium
miniature
narrow
petite
short
skinny
small
tall
tiny
wide
cooing
deafening
faint
harsh
high-pitched
hissing
hushed
husky
loud
melodic
moaning
mute
noisy
purring
quiet
raspy
screeching
shrill
silent
soft
squeaky
squealing
thundering
voiceless
whispering
Speed Taste Time
fast
quick
rapid
slow
swift
bitter
bland
delicious
different
fresh
greasy
hot
juicy
repulsive
revolting
ripe
rotten
salty
sour
spicy
stale
strong
sweet
tasteless
tasty
terrible
wonderful
ancient
brief.
early
late
long
modern
new
old
old-fashioned
quick
short
young
  Touch  
  blunt
boiling
breakable
breezy
broken
bumpy
chilly
clean
cold
cool
crooked
cuddly
curly
damaged
damp
different
dirty
dry
dusty
filthy
flaky
fluffy
fuzzy
greasy
grubby
hard
icy
loose
plastic
prickly
ripe
rough
rubbery
scratchy
shaky
shaggy
sharp
silky
slimy
slippery
smooth
soft
solid
steady
sticky
tight
uneven
unusual
unripe
warm
weak
wet
wooden
wooly
 

Adjectives - Possessive

My

I have a car and I have a dog called Sam.
Ready Steady
This is my car with my dog Sam.

Your

You have a computer.
Computer
You aren't using my computer to read this. You are using your computer.

Her | His

I don't have a crown. Prince Charles doesn't have a crown. The Queen has a crown.
Crown
This is the queen's crown. It isn't my crown and it isn't your crown. It isn't his crown, either. It is her crown.

Its

This padlock has a key.
padlock
This is the padlock's key. It is its key.

Our

We have a website called Learn English.

It is my website and it is your website. It is our website.

Their

The pop group Elbow have a CD.
Elbow CD
This is their CD.

Adjectives - Comparative and Superlative

Red bag This is a box.

Big | Small

Red bag This is a small box. This is a big box. White bag

Bigger / Smaller | Biggest / Smallest

Red bag The blue box is bigger than the green box. Blue bag The blue box is smaller than the red box. White bag
The green box is smaller than the red box and the blue box.
The green box is the smallest box.

The red box is bigger than the blue box and the green box. The red box is the biggest box.

Higher / Lower | Highest / Lowest

Mount Snowdon
Mount Snowdon
1,085 metres
Mount Fuji is higher than Mount Snowdon. Mount Fuji
Mount Fuji
3,776 metres
Mount Fuji is higher than Mount Snowdon, but lower than Mount Everest. Mount Everest
Mount Everest
8,848 metres
Mount Snowdon is the lowest mountain.
Mount Everest is the highest mountain.

Longer / Shorter | Longest / Shortest

River Danube
River Danube
2,850 (km)
The river Amazon is longer than the river Danube. River Amazon
River Amazon
6,516 (km)
The river Amazon is longer than the river Danube, but shorter than the river Nile. River Nile
River Nile
6,695 (km)
The river Danube is the shortest river.
The river Nile is the longest river.

Cheaper / More (Less) Expensive | Cheapest / Most (Least) Expensive

John's car cost £15,000
John's house
John's car was less expensive than Jane's car. It's cheaper than Jane's car. Jane's car cost £25,000
Jane's house
Jane's car is more expensive than John's car, but less expensive than Bill's car. Bill's car cost £55,000
Bill's house
John's car is the least expensive car. It's the cheapest car.
Bill's car is the most expensive car.

Superlative Adjectives

The superlative is used to say what thing or person has the most of a particular quality within a group or of its kind. Superlative adjectives normally come before any other adjectives.
mountain
mountain
Snowdon is not the highest mountain in Britain, Ben Nevis is.
Mount Snowdon is 3,559 feet high. Ben Nevis is 4,408 feet high.

Forming the superlative

Form Rule For example
Words of one syllable ending in 'e'.
Add -st to the end of the word.
wide - widest
Words of one syllable, with one vowel and one consonant at the end. Double the consonant and add -est to the end of the word. big - biggest
Words of one syllable, with more than one vowel or more than one consonant at the end. Add - est to the end of the word. high - highest
Words of two syllables, ending in 'y'. Change 'y' to 'i', and add -est to the end of the word. happy - happiest
Words of two syllables or more, not ending in 'y'. Place 'the most' before the adjective. beautiful - the most beautiful
The following adjectives are exceptions:
  • 'good' becomes 'the best'
  • 'bad' becomes 'the worst'
  • 'far' becomes 'the furthest'
For example:
  • "Jill is the best student in the class ."
  • "Jack is the worst student in the class."
  • "In our solar system the planet Pluto is the furthest planet from the Sun."
!Note - superlatives are usually preceded by 'the'.
For example:
  • "The Rio de la Plata river, on the southeast coastline of South America, is the widest river in the world."
  • According to the List of World records Carol Yager (1960-1994), from Michigan, is the fattest person ever to live, weighing 725 kg (1,600 lb).
  • "Mount Everest is the highest mountain in the world."
  • "I think that Castle Combe is the prettiest village in England."
  • "Arguably, Rome is the most beautiful city in the world."

Possessive Adjectives

Possesive adjectives are used to show ownership or possession.
Subject pronoun Possessive adjective
I my
you your
he his
she her
it its
we our
they their
For example:
  • I own a laptop. = It is my laptop.
  • You own this computer (I presume). = It is your computer.
  • My husband owns a car. = It is his car.
  • My sister owns a house. = It is her house.
  • My dog owns a collar. = It is its collar.
  • We use this website. = It is our website.
  • Manchester United own a football ground. = It is their football ground.